Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C2×C4

Direct product G=N×Q with N=C22×C4 and Q=C2×C4
dρLabelID
C23×C42128C2^3xC4^2128,2150

Semidirect products G=N:Q with N=C22×C4 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊1(C2×C4) = C24.78D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C416(C2^2xC4):1(C2xC4)128,630
(C22×C4)⋊2(C2×C4) = C24.28D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4):2(C2xC4)128,645
(C22×C4)⋊3(C2×C4) = C24.36D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4):3(C2xC4)128,853
(C22×C4)⋊4(C2×C4) = C23.C24φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4):4(C2xC4)128,1615
(C22×C4)⋊5(C2×C4) = C2×C23.9D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4):5(C2xC4)128,471
(C22×C4)⋊6(C2×C4) = C2×C23.D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4):6(C2xC4)128,851
(C22×C4)⋊7(C2×C4) = C22×C23⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4):7(C2xC4)128,1613
(C22×C4)⋊8(C2×C4) = C2×C23.C23φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4):8(C2xC4)128,1614
(C22×C4)⋊9(C2×C4) = C24.17Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):9(C2xC4)128,165
(C22×C4)⋊10(C2×C4) = C24.26D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):10(C2xC4)128,622
(C22×C4)⋊11(C2×C4) = C23⋊C42φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):11(C2xC4)128,1005
(C22×C4)⋊12(C2×C4) = D44C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):12(C2xC4)128,1007
(C22×C4)⋊13(C2×C4) = C23.235C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):13(C2xC4)128,1085
(C22×C4)⋊14(C2×C4) = C24.223C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):14(C2xC4)128,1106
(C22×C4)⋊15(C2×C4) = C2×C23.8Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):15(C2xC4)128,1018
(C22×C4)⋊16(C2×C4) = C2×C23.23D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):16(C2xC4)128,1019
(C22×C4)⋊17(C2×C4) = C4242D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):17(C2xC4)128,1022
(C22×C4)⋊18(C2×C4) = C23.179C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):18(C2xC4)128,1029
(C22×C4)⋊19(C2×C4) = C24.90D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):19(C2xC4)128,1040
(C22×C4)⋊20(C2×C4) = C24.542C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):20(C2xC4)128,1043
(C22×C4)⋊21(C2×C4) = C24.91D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):21(C2xC4)128,1047
(C22×C4)⋊22(C2×C4) = C24.547C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):22(C2xC4)128,1050
(C22×C4)⋊23(C2×C4) = C24.195C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):23(C2xC4)128,1054
(C22×C4)⋊24(C2×C4) = C4213D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):24(C2xC4)128,1056
(C22×C4)⋊25(C2×C4) = C24.198C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):25(C2xC4)128,1057
(C22×C4)⋊26(C2×C4) = C23.215C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):26(C2xC4)128,1065
(C22×C4)⋊27(C2×C4) = C24.204C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):27(C2xC4)128,1067
(C22×C4)⋊28(C2×C4) = D4×C22⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):28(C2xC4)128,1070
(C22×C4)⋊29(C2×C4) = C24.549C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):29(C2xC4)128,1071
(C22×C4)⋊30(C2×C4) = C23.224C24φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):30(C2xC4)128,1074
(C22×C4)⋊31(C2×C4) = D4×C4⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):31(C2xC4)128,1080
(C22×C4)⋊32(C2×C4) = C23.231C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):32(C2xC4)128,1081
(C22×C4)⋊33(C2×C4) = C23.234C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):33(C2xC4)128,1084
(C22×C4)⋊34(C2×C4) = C23.241C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):34(C2xC4)128,1091
(C22×C4)⋊35(C2×C4) = C24.215C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):35(C2xC4)128,1093
(C22×C4)⋊36(C2×C4) = C24.217C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):36(C2xC4)128,1095
(C22×C4)⋊37(C2×C4) = C24.218C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):37(C2xC4)128,1096
(C22×C4)⋊38(C2×C4) = C24.225C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):38(C2xC4)128,1108
(C22×C4)⋊39(C2×C4) = C23.259C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):39(C2xC4)128,1109
(C22×C4)⋊40(C2×C4) = C2×C22.11C24φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):40(C2xC4)128,2157
(C22×C4)⋊41(C2×C4) = C2×C23.33C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4):41(C2xC4)128,2159
(C22×C4)⋊42(C2×C4) = C22.14C25φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4):42(C2xC4)128,2160
(C22×C4)⋊43(C2×C4) = C2×C4×C22⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):43(C2xC4)128,1000
(C22×C4)⋊44(C2×C4) = D4×C42φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):44(C2xC4)128,1003
(C22×C4)⋊45(C2×C4) = C4×C22.D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):45(C2xC4)128,1033
(C22×C4)⋊46(C2×C4) = C4×C4⋊D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):46(C2xC4)128,1032
(C22×C4)⋊47(C2×C4) = D4×C22×C4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):47(C2xC4)128,2154
(C22×C4)⋊48(C2×C4) = C2×C4×C4○D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4):48(C2xC4)128,2156
(C22×C4)⋊49(C2×C4) = C22×C2.C42φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4):49(C2xC4)128,998
(C22×C4)⋊50(C2×C4) = C2×C23.34D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4):50(C2xC4)128,1011
(C22×C4)⋊51(C2×C4) = C2×C23.7Q8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4):51(C2xC4)128,1010
(C22×C4)⋊52(C2×C4) = C23×C4⋊C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4):52(C2xC4)128,2152
(C22×C4)⋊53(C2×C4) = C22×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4):53(C2xC4)128,2153

Non-split extensions G=N.Q with N=C22×C4 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
(C22×C4).1(C2×C4) = C24.D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C416(C2^2xC4).1(C2xC4)128,75
(C22×C4).2(C2×C4) = C23.4D8φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).2(C2xC4)128,76
(C22×C4).3(C2×C4) = C2.C2≀C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).3(C2xC4)128,77
(C22×C4).4(C2×C4) = (C2×C4).D8φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).4(C2xC4)128,78
(C22×C4).5(C2×C4) = C23.Q16φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).5(C2xC4)128,83
(C22×C4).6(C2×C4) = C24.4D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).6(C2xC4)128,84
(C22×C4).7(C2×C4) = (C2×C4).Q16φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).7(C2xC4)128,85
(C22×C4).8(C2×C4) = C2.7C2≀C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).8(C2xC4)128,86
(C22×C4).9(C2×C4) = C23⋊C8⋊C2φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).9(C2xC4)128,200
(C22×C4).10(C2×C4) = C42.395D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).10(C2xC4)128,201
(C22×C4).11(C2×C4) = C42.396D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C464(C2^2xC4).11(C2xC4)128,202
(C22×C4).12(C2×C4) = C24.(C2×C4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).12(C2xC4)128,203
(C22×C4).13(C2×C4) = C24.45(C2×C4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).13(C2xC4)128,204
(C22×C4).14(C2×C4) = C42.372D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).14(C2xC4)128,205
(C22×C4).15(C2×C4) = C4○D4.D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).15(C2xC4)128,527
(C22×C4).16(C2×C4) = (C22×Q8)⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).16(C2xC4)128,528
(C22×C4).17(C2×C4) = C24.C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).17(C2xC4)128,560
(C22×C4).18(C2×C4) = (C2×Q8).211D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).18(C2xC4)128,562
(C22×C4).19(C2×C4) = C24.174C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).19(C2xC4)128,631
(C22×C4).20(C2×C4) = M4(2)⋊20D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).20(C2xC4)128,632
(C22×C4).21(C2×C4) = M4(2).45D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).21(C2xC4)128,633
(C22×C4).22(C2×C4) = M4(2).50D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).22(C2xC4)128,647
(C22×C4).23(C2×C4) = C24.175C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).23(C2xC4)128,696
(C22×C4).24(C2×C4) = C42.114D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C464(C2^2xC4).24(C2xC4)128,698
(C22×C4).25(C2×C4) = C42.115D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).25(C2xC4)128,699
(C22×C4).26(C2×C4) = C24.176C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C432(C2^2xC4).26(C2xC4)128,728
(C22×C4).27(C2×C4) = M4(2)⋊8Q8φ: C2×C4/C1C2×C4 ⊆ Aut C22×C464(C2^2xC4).27(C2xC4)128,729
(C22×C4).28(C2×C4) = C42.128D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C464(C2^2xC4).28(C2xC4)128,730
(C22×C4).29(C2×C4) = C2≀C4⋊C2φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).29(C2xC4)128,854
(C22×C4).30(C2×C4) = C23.(C2×D4)φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).30(C2xC4)128,855
(C22×C4).31(C2×C4) = C24.39D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).31(C2xC4)128,859
(C22×C4).32(C2×C4) = C4.4D4⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).32(C2xC4)128,860
(C22×C4).33(C2×C4) = C4⋊Q8⋊C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).33(C2xC4)128,861
(C22×C4).34(C2×C4) = C4⋊Q8.C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).34(C2xC4)128,865
(C22×C4).35(C2×C4) = C41D4.C4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).35(C2xC4)128,866
(C22×C4).36(C2×C4) = (C2×D4).137D4φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).36(C2xC4)128,867
(C22×C4).37(C2×C4) = C23.4C24φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).37(C2xC4)128,1616
(C22×C4).38(C2×C4) = M4(2).24C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4168+(C2^2xC4).38(C2xC4)128,1620
(C22×C4).39(C2×C4) = M4(2).25C23φ: C2×C4/C1C2×C4 ⊆ Aut C22×C4328-(C2^2xC4).39(C2xC4)128,1621
(C22×C4).40(C2×C4) = C23.8M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).40(C2xC4)128,191
(C22×C4).41(C2×C4) = C42.393D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).41(C2xC4)128,192
(C22×C4).42(C2×C4) = C42.394D4φ: C2×C4/C2C4 ⊆ Aut C22×C464(C2^2xC4).42(C2xC4)128,193
(C22×C4).43(C2×C4) = C42.42D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).43(C2xC4)128,196
(C22×C4).44(C2×C4) = C23⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).44(C2xC4)128,197
(C22×C4).45(C2×C4) = C42.43D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).45(C2xC4)128,198
(C22×C4).46(C2×C4) = C24.162C23φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).46(C2xC4)128,472
(C22×C4).47(C2×C4) = C2×C22.C42φ: C2×C4/C2C4 ⊆ Aut C22×C464(C2^2xC4).47(C2xC4)128,473
(C22×C4).48(C2×C4) = C23.15C42φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).48(C2xC4)128,474
(C22×C4).49(C2×C4) = C24.167C23φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).49(C2xC4)128,531
(C22×C4).50(C2×C4) = C42.96D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).50(C2xC4)128,532
(C22×C4).51(C2×C4) = C42.97D4φ: C2×C4/C2C4 ⊆ Aut C22×C464(C2^2xC4).51(C2xC4)128,533
(C22×C4).52(C2×C4) = C24.68D4φ: C2×C4/C2C4 ⊆ Aut C22×C416(C2^2xC4).52(C2xC4)128,551
(C22×C4).53(C2×C4) = C24.169C23φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).53(C2xC4)128,552
(C22×C4).54(C2×C4) = (C22×C4).275D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).54(C2xC4)128,553
(C22×C4).55(C2×C4) = (C22×C4).276D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).55(C2xC4)128,554
(C22×C4).56(C2×C4) = (C2×D4)⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).56(C2xC4)128,50
(C22×C4).57(C2×C4) = (C2×C42).C4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).57(C2xC4)128,51
(C22×C4).58(C2×C4) = C24.C8φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).58(C2xC4)128,52
(C22×C4).59(C2×C4) = C23.1M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).59(C2xC4)128,53
(C22×C4).60(C2×C4) = C42⋊C8φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).60(C2xC4)128,56
(C22×C4).61(C2×C4) = C423C8φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).61(C2xC4)128,57
(C22×C4).62(C2×C4) = C42.C8φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).62(C2xC4)128,59
(C22×C4).63(C2×C4) = C22⋊C4.C8φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).63(C2xC4)128,60
(C22×C4).64(C2×C4) = C23.2C42φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).64(C2xC4)128,123
(C22×C4).65(C2×C4) = C23.3C42φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).65(C2xC4)128,124
(C22×C4).66(C2×C4) = C24.6D4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).66(C2xC4)128,125
(C22×C4).67(C2×C4) = (C2×Q8).Q8φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).67(C2xC4)128,126
(C22×C4).68(C2×C4) = (C22×C8)⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).68(C2xC4)128,127
(C22×C4).69(C2×C4) = (C2×C4)⋊M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).69(C2xC4)128,195
(C22×C4).70(C2×C4) = C42.44D4φ: C2×C4/C2C4 ⊆ Aut C22×C464(C2^2xC4).70(C2xC4)128,199
(C22×C4).71(C2×C4) = C23.5C42φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).71(C2xC4)128,489
(C22×C4).72(C2×C4) = C25⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C416(C2^2xC4).72(C2xC4)128,513
(C22×C4).73(C2×C4) = C24.165C23φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).73(C2xC4)128,514
(C22×C4).74(C2×C4) = (C2×D4).24Q8φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).74(C2xC4)128,544
(C22×C4).75(C2×C4) = (C2×C8).103D4φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).75(C2xC4)128,545
(C22×C4).76(C2×C4) = (C2×C42)⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).76(C2xC4)128,559
(C22×C4).77(C2×C4) = M5(2).19C22φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).77(C2xC4)128,847
(C22×C4).78(C2×C4) = C4○C2≀C4φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).78(C2xC4)128,852
(C22×C4).79(C2×C4) = C2×C42⋊C4φ: C2×C4/C2C4 ⊆ Aut C22×C416(C2^2xC4).79(C2xC4)128,856
(C22×C4).80(C2×C4) = C2×C423C4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).80(C2xC4)128,857
(C22×C4).81(C2×C4) = C4⋊Q829C4φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).81(C2xC4)128,858
(C22×C4).82(C2×C4) = C2×C42.C4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).82(C2xC4)128,862
(C22×C4).83(C2×C4) = C2×C42.3C4φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).83(C2xC4)128,863
(C22×C4).84(C2×C4) = (C2×D4).135D4φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).84(C2xC4)128,864
(C22×C4).85(C2×C4) = C8.5M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C4164(C2^2xC4).85(C2xC4)128,897
(C22×C4).86(C2×C4) = C8.19M4(2)φ: C2×C4/C2C4 ⊆ Aut C22×C4324(C2^2xC4).86(C2xC4)128,898
(C22×C4).87(C2×C4) = C22×C4.10D4φ: C2×C4/C2C4 ⊆ Aut C22×C464(C2^2xC4).87(C2xC4)128,1618
(C22×C4).88(C2×C4) = C2×M4(2).8C22φ: C2×C4/C2C4 ⊆ Aut C22×C432(C2^2xC4).88(C2xC4)128,1619
(C22×C4).89(C2×C4) = C23.19C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).89(C2xC4)128,12
(C22×C4).90(C2×C4) = C42.2Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).90(C2xC4)128,13
(C22×C4).91(C2×C4) = C42.23D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).91(C2xC4)128,19
(C22×C4).92(C2×C4) = C42.26D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).92(C2xC4)128,23
(C22×C4).93(C2×C4) = C24.2Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).93(C2xC4)128,25
(C22×C4).94(C2×C4) = C24.624C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).94(C2xC4)128,166
(C22×C4).95(C2×C4) = C24.625C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).95(C2xC4)128,167
(C22×C4).96(C2×C4) = C24.626C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).96(C2xC4)128,168
(C22×C4).97(C2×C4) = C232C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).97(C2xC4)128,169
(C22×C4).98(C2×C4) = C24.52D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).98(C2xC4)128,172
(C22×C4).99(C2×C4) = C24.632C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).99(C2xC4)128,174
(C22×C4).100(C2×C4) = C24.633C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).100(C2xC4)128,175
(C22×C4).101(C2×C4) = C24.635C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).101(C2xC4)128,177
(C22×C4).102(C2×C4) = C2×C23⋊C8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).102(C2xC4)128,188
(C22×C4).103(C2×C4) = C2×C22.M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).103(C2xC4)128,189
(C22×C4).104(C2×C4) = C23.29C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).104(C2xC4)128,461
(C22×C4).105(C2×C4) = (C4×C8)⋊12C4φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).105(C2xC4)128,478
(C22×C4).106(C2×C4) = C42.379D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).106(C2xC4)128,482
(C22×C4).107(C2×C4) = C23.36C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).107(C2xC4)128,484
(C22×C4).108(C2×C4) = C23.17C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).108(C2xC4)128,485
(C22×C4).109(C2×C4) = C42.45Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).109(C2xC4)128,500
(C22×C4).110(C2×C4) = C4⋊C813C4φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).110(C2xC4)128,502
(C22×C4).111(C2×C4) = C4⋊C814C4φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).111(C2xC4)128,503
(C22×C4).112(C2×C4) = C42.95D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).112(C2xC4)128,530
(C22×C4).113(C2×C4) = C24.53(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).113(C2xC4)128,550
(C22×C4).114(C2×C4) = C42.23Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).114(C2xC4)128,564
(C22×C4).115(C2×C4) = C424C4.C2φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).115(C2xC4)128,572
(C22×C4).116(C2×C4) = C23.21M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).116(C2xC4)128,582
(C22×C4).117(C2×C4) = (C2×C8).195D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).117(C2xC4)128,583
(C22×C4).118(C2×C4) = C23.22M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).118(C2xC4)128,601
(C22×C4).119(C2×C4) = C232M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).119(C2xC4)128,602
(C22×C4).120(C2×C4) = (C2×C8)⋊D4φ: C2×C4/C2C22 ⊆ Aut C22×C4164(C2^2xC4).120(C2xC4)128,623
(C22×C4).121(C2×C4) = C4⋊C43C8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).121(C2xC4)128,648
(C22×C4).122(C2×C4) = (C2×C8).Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).122(C2xC4)128,649
(C22×C4).123(C2×C4) = C22⋊C44C8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).123(C2xC4)128,655
(C22×C4).124(C2×C4) = C23.9M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).124(C2xC4)128,656
(C22×C4).125(C2×C4) = C42.61Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).125(C2xC4)128,671
(C22×C4).126(C2×C4) = C42.27Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).126(C2xC4)128,672
(C22×C4).127(C2×C4) = C42.325D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).127(C2xC4)128,686
(C22×C4).128(C2×C4) = C42.109D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).128(C2xC4)128,687
(C22×C4).129(C2×C4) = C42.327D4φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).129(C2xC4)128,716
(C22×C4).130(C2×C4) = C24.524C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).130(C2xC4)128,1006
(C22×C4).131(C2×C4) = C23.194C24φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).131(C2xC4)128,1044
(C22×C4).132(C2×C4) = C23.195C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).132(C2xC4)128,1045
(C22×C4).133(C2×C4) = C24.212C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).133(C2xC4)128,1089
(C22×C4).134(C2×C4) = M4(2)○2M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).134(C2xC4)128,1605
(C22×C4).135(C2×C4) = D4.5C42φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).135(C2xC4)128,1607
(C22×C4).136(C2×C4) = Q86M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).136(C2xC4)128,1703
(C22×C4).137(C2×C4) = C42.691C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).137(C2xC4)128,1704
(C22×C4).138(C2×C4) = C233M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).138(C2xC4)128,1705
(C22×C4).139(C2×C4) = C42.298C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).139(C2xC4)128,1709
(C22×C4).140(C2×C4) = C42.695C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).140(C2xC4)128,1714
(C22×C4).141(C2×C4) = C42.697C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).141(C2xC4)128,1720
(C22×C4).142(C2×C4) = (C2×C4).98D8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).142(C2xC4)128,2
(C22×C4).143(C2×C4) = C4⋊C4⋊C8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).143(C2xC4)128,3
(C22×C4).144(C2×C4) = (C2×Q8)⋊C8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).144(C2xC4)128,4
(C22×C4).145(C2×C4) = C24.46D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).145(C2xC4)128,16
(C22×C4).146(C2×C4) = C42.5Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).146(C2xC4)128,18
(C22×C4).147(C2×C4) = C42.6Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).147(C2xC4)128,20
(C22×C4).148(C2×C4) = C23.8D8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).148(C2xC4)128,21
(C22×C4).149(C2×C4) = C23.30D8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).149(C2xC4)128,26
(C22×C4).150(C2×C4) = C42.7Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).150(C2xC4)128,27
(C22×C4).151(C2×C4) = C42.8Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).151(C2xC4)128,28
(C22×C4).152(C2×C4) = C24.48D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).152(C2xC4)128,29
(C22×C4).153(C2×C4) = C24.3Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).153(C2xC4)128,30
(C22×C4).154(C2×C4) = C42.388D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).154(C2xC4)128,31
(C22×C4).155(C2×C4) = C42.9Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).155(C2xC4)128,32
(C22×C4).156(C2×C4) = C42.389D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).156(C2xC4)128,33
(C22×C4).157(C2×C4) = C42.370D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).157(C2xC4)128,34
(C22×C4).158(C2×C4) = C42.10Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).158(C2xC4)128,35
(C22×C4).159(C2×C4) = C23.C42φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).159(C2xC4)128,37
(C22×C4).160(C2×C4) = C23.8C42φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).160(C2xC4)128,38
(C22×C4).161(C2×C4) = C42.30D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).161(C2xC4)128,39
(C22×C4).162(C2×C4) = C42.31D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).162(C2xC4)128,40
(C22×C4).163(C2×C4) = C42.32D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).163(C2xC4)128,41
(C22×C4).164(C2×C4) = C23.M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).164(C2xC4)128,47
(C22×C4).165(C2×C4) = C23.7M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).165(C2xC4)128,55
(C22×C4).166(C2×C4) = M4(2).C8φ: C2×C4/C2C22 ⊆ Aut C22×C4324(C2^2xC4).166(C2xC4)128,110
(C22×C4).167(C2×C4) = C24.50D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).167(C2xC4)128,170
(C22×C4).168(C2×C4) = C24.5Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).168(C2xC4)128,171
(C22×C4).169(C2×C4) = C24.631C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).169(C2xC4)128,173
(C22×C4).170(C2×C4) = C24.634C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).170(C2xC4)128,176
(C22×C4).171(C2×C4) = C24.636C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).171(C2xC4)128,178
(C22×C4).172(C2×C4) = C8215C2φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).172(C2xC4)128,185
(C22×C4).173(C2×C4) = C822C2φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).173(C2xC4)128,186
(C22×C4).174(C2×C4) = C86M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).174(C2xC4)128,187
(C22×C4).175(C2×C4) = C25.3C4φ: C2×C4/C2C22 ⊆ Aut C22×C416(C2^2xC4).175(C2xC4)128,194
(C22×C4).176(C2×C4) = C42.397D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).176(C2xC4)128,209
(C22×C4).177(C2×C4) = C42.398D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).177(C2xC4)128,210
(C22×C4).178(C2×C4) = C42.399D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).178(C2xC4)128,211
(C22×C4).179(C2×C4) = C42.45D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).179(C2xC4)128,212
(C22×C4).180(C2×C4) = C42.46D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).180(C2xC4)128,213
(C22×C4).181(C2×C4) = C42.373D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).181(C2xC4)128,214
(C22×C4).182(C2×C4) = C42.47D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).182(C2xC4)128,215
(C22×C4).183(C2×C4) = C42.400D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).183(C2xC4)128,216
(C22×C4).184(C2×C4) = C42.401D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).184(C2xC4)128,217
(C22×C4).185(C2×C4) = D4⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).185(C2xC4)128,218
(C22×C4).186(C2×C4) = Q8⋊M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).186(C2xC4)128,219
(C22×C4).187(C2×C4) = C42.374D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).187(C2xC4)128,220
(C22×C4).188(C2×C4) = D44M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).188(C2xC4)128,221
(C22×C4).189(C2×C4) = D45M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).189(C2xC4)128,222
(C22×C4).190(C2×C4) = Q85M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).190(C2xC4)128,223
(C22×C4).191(C2×C4) = C42.52D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).191(C2xC4)128,227
(C22×C4).192(C2×C4) = C42.53D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).192(C2xC4)128,228
(C22×C4).193(C2×C4) = C42.54D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).193(C2xC4)128,229
(C22×C4).194(C2×C4) = C2×C22.SD16φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).194(C2xC4)128,230
(C22×C4).195(C2×C4) = C2×C23.31D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).195(C2xC4)128,231
(C22×C4).196(C2×C4) = C24.53D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).196(C2xC4)128,233
(C22×C4).197(C2×C4) = C24.150D4φ: C2×C4/C2C22 ⊆ Aut C22×C416(C2^2xC4).197(C2xC4)128,236
(C22×C4).198(C2×C4) = C24.54D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).198(C2xC4)128,239
(C22×C4).199(C2×C4) = C24.55D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).199(C2xC4)128,240
(C22×C4).200(C2×C4) = C24.56D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).200(C2xC4)128,242
(C22×C4).201(C2×C4) = C24.57D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).201(C2xC4)128,243
(C22×C4).202(C2×C4) = C24.58D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).202(C2xC4)128,245
(C22×C4).203(C2×C4) = C24.59D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).203(C2xC4)128,248
(C22×C4).204(C2×C4) = C24.60D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).204(C2xC4)128,251
(C22×C4).205(C2×C4) = C24.61D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).205(C2xC4)128,252
(C22×C4).206(C2×C4) = C2×C42.C22φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).206(C2xC4)128,254
(C22×C4).207(C2×C4) = C2×C42.2C22φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).207(C2xC4)128,255
(C22×C4).208(C2×C4) = C42.66D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).208(C2xC4)128,256
(C22×C4).209(C2×C4) = C42.405D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).209(C2xC4)128,257
(C22×C4).210(C2×C4) = C42.406D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).210(C2xC4)128,258
(C22×C4).211(C2×C4) = C42.407D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).211(C2xC4)128,259
(C22×C4).212(C2×C4) = C42.408D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).212(C2xC4)128,260
(C22×C4).213(C2×C4) = C42.376D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).213(C2xC4)128,261
(C22×C4).214(C2×C4) = C42.67D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).214(C2xC4)128,262
(C22×C4).215(C2×C4) = C42.68D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).215(C2xC4)128,263
(C22×C4).216(C2×C4) = C42.69D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).216(C2xC4)128,264
(C22×C4).217(C2×C4) = C42.70D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).217(C2xC4)128,265
(C22×C4).218(C2×C4) = C42.71D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).218(C2xC4)128,266
(C22×C4).219(C2×C4) = C42.72D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).219(C2xC4)128,267
(C22×C4).220(C2×C4) = C42.73D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).220(C2xC4)128,268
(C22×C4).221(C2×C4) = C42.74D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).221(C2xC4)128,269
(C22×C4).222(C2×C4) = C2×C4.D8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).222(C2xC4)128,270
(C22×C4).223(C2×C4) = C2×C4.10D8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).223(C2xC4)128,271
(C22×C4).224(C2×C4) = C42.409D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).224(C2xC4)128,272
(C22×C4).225(C2×C4) = C2×C4.6Q16φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).225(C2xC4)128,273
(C22×C4).226(C2×C4) = C42.410D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).226(C2xC4)128,274
(C22×C4).227(C2×C4) = C42.411D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).227(C2xC4)128,275
(C22×C4).228(C2×C4) = C42.412D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).228(C2xC4)128,276
(C22×C4).229(C2×C4) = C42.413D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).229(C2xC4)128,277
(C22×C4).230(C2×C4) = C42.414D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).230(C2xC4)128,278
(C22×C4).231(C2×C4) = C42.78D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).231(C2xC4)128,279
(C22×C4).232(C2×C4) = C42.415D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).232(C2xC4)128,280
(C22×C4).233(C2×C4) = C42.416D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).233(C2xC4)128,281
(C22×C4).234(C2×C4) = C42.79D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).234(C2xC4)128,282
(C22×C4).235(C2×C4) = C42.80D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).235(C2xC4)128,283
(C22×C4).236(C2×C4) = C42.81D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).236(C2xC4)128,284
(C22×C4).237(C2×C4) = C42.417D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).237(C2xC4)128,285
(C22×C4).238(C2×C4) = C42.418D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).238(C2xC4)128,286
(C22×C4).239(C2×C4) = C42.82D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).239(C2xC4)128,287
(C22×C4).240(C2×C4) = C42.83D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).240(C2xC4)128,288
(C22×C4).241(C2×C4) = C42.84D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).241(C2xC4)128,289
(C22×C4).242(C2×C4) = C42.85D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).242(C2xC4)128,290
(C22×C4).243(C2×C4) = C42.86D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).243(C2xC4)128,291
(C22×C4).244(C2×C4) = C42.87D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).244(C2xC4)128,292
(C22×C4).245(C2×C4) = C42.88D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).245(C2xC4)128,293
(C22×C4).246(C2×C4) = M4(2)⋊1C8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).246(C2xC4)128,297
(C22×C4).247(C2×C4) = C81M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).247(C2xC4)128,301
(C22×C4).248(C2×C4) = C42.90D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).248(C2xC4)128,302
(C22×C4).249(C2×C4) = C42.91D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).249(C2xC4)128,303
(C22×C4).250(C2×C4) = C42.Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).250(C2xC4)128,304
(C22×C4).251(C2×C4) = C42.92D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).251(C2xC4)128,305
(C22×C4).252(C2×C4) = C42.21Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).252(C2xC4)128,306
(C22×C4).253(C2×C4) = C24.63D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).253(C2xC4)128,465
(C22×C4).254(C2×C4) = C24.152D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).254(C2xC4)128,468
(C22×C4).255(C2×C4) = C24.7Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).255(C2xC4)128,470
(C22×C4).256(C2×C4) = C2×M4(2)⋊4C4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).256(C2xC4)128,475
(C22×C4).257(C2×C4) = C24.51(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).257(C2xC4)128,512
(C22×C4).258(C2×C4) = C25.C4φ: C2×C4/C2C22 ⊆ Aut C22×C416(C2^2xC4).258(C2xC4)128,515
(C22×C4).259(C2×C4) = C4.C22≀C2φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).259(C2xC4)128,516
(C22×C4).260(C2×C4) = C23.35D8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).260(C2xC4)128,518
(C22×C4).261(C2×C4) = C24.155D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).261(C2xC4)128,519
(C22×C4).262(C2×C4) = C24.65D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).262(C2xC4)128,520
(C22×C4).263(C2×C4) = C24.66D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).263(C2xC4)128,521
(C22×C4).264(C2×C4) = C24.67D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).264(C2xC4)128,541
(C22×C4).265(C2×C4) = C24.9Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).265(C2xC4)128,543
(C22×C4).266(C2×C4) = C23.36D8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).266(C2xC4)128,555
(C22×C4).267(C2×C4) = C24.157D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).267(C2xC4)128,556
(C22×C4).268(C2×C4) = C24.69D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).268(C2xC4)128,557
(C22×C4).269(C2×C4) = C24.70D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).269(C2xC4)128,558
(C22×C4).270(C2×C4) = C42.25Q8φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).270(C2xC4)128,575
(C22×C4).271(C2×C4) = C23.37D8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).271(C2xC4)128,584
(C22×C4).272(C2×C4) = C24.159D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).272(C2xC4)128,585
(C22×C4).273(C2×C4) = C24.71D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).273(C2xC4)128,586
(C22×C4).274(C2×C4) = C24.10Q8φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).274(C2xC4)128,587
(C22×C4).275(C2×C4) = C24.72D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).275(C2xC4)128,603
(C22×C4).276(C2×C4) = C24.160D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).276(C2xC4)128,604
(C22×C4).277(C2×C4) = C24.73D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).277(C2xC4)128,605
(C22×C4).278(C2×C4) = C23.38D8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).278(C2xC4)128,606
(C22×C4).279(C2×C4) = C24.74D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).279(C2xC4)128,607
(C22×C4).280(C2×C4) = C24.75D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).280(C2xC4)128,626
(C22×C4).281(C2×C4) = C24.76D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).281(C2xC4)128,627
(C22×C4).282(C2×C4) = C427D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).282(C2xC4)128,629
(C22×C4).283(C2×C4) = M4(2)⋊12D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).283(C2xC4)128,697
(C22×C4).284(C2×C4) = C42.120D4φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).284(C2xC4)128,717
(C22×C4).285(C2×C4) = C8.23C42φ: C2×C4/C2C22 ⊆ Aut C22×C4324(C2^2xC4).285(C2xC4)128,842
(C22×C4).286(C2×C4) = (C2×D4).5C8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).286(C2xC4)128,845
(C22×C4).287(C2×C4) = M5(2)⋊12C22φ: C2×C4/C2C22 ⊆ Aut C22×C4324(C2^2xC4).287(C2xC4)128,849
(C22×C4).288(C2×C4) = M4(2).1C8φ: C2×C4/C2C22 ⊆ Aut C22×C4324(C2^2xC4).288(C2xC4)128,885
(C22×C4).289(C2×C4) = C8.12M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).289(C2xC4)128,896
(C22×C4).290(C2×C4) = C169D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).290(C2xC4)128,900
(C22×C4).291(C2×C4) = C166D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).291(C2xC4)128,901
(C22×C4).292(C2×C4) = C2×C23.63C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).292(C2xC4)128,1020
(C22×C4).293(C2×C4) = C2×C23.65C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).293(C2xC4)128,1023
(C22×C4).294(C2×C4) = C439C2φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).294(C2xC4)128,1025
(C22×C4).295(C2×C4) = C2×C23.67C23φ: C2×C4/C2C22 ⊆ Aut C22×C4128(C2^2xC4).295(C2xC4)128,1026
(C22×C4).296(C2×C4) = C432C2φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).296(C2xC4)128,1030
(C22×C4).297(C2×C4) = C23.191C24φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).297(C2xC4)128,1041
(C22×C4).298(C2×C4) = C23.192C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).298(C2xC4)128,1042
(C22×C4).299(C2×C4) = C24.192C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).299(C2xC4)128,1046
(C22×C4).300(C2×C4) = C24.545C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).300(C2xC4)128,1048
(C22×C4).301(C2×C4) = C23.199C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).301(C2xC4)128,1049
(C22×C4).302(C2×C4) = C23.201C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).302(C2xC4)128,1051
(C22×C4).303(C2×C4) = C42.159D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).303(C2xC4)128,1055
(C22×C4).304(C2×C4) = C23.211C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).304(C2xC4)128,1061
(C22×C4).305(C2×C4) = C23.214C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).305(C2xC4)128,1064
(C22×C4).306(C2×C4) = Q8×C22⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).306(C2xC4)128,1072
(C22×C4).307(C2×C4) = C23.223C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).307(C2xC4)128,1073
(C22×C4).308(C2×C4) = C23.225C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).308(C2xC4)128,1075
(C22×C4).309(C2×C4) = C23.226C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).309(C2xC4)128,1076
(C22×C4).310(C2×C4) = C23.227C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).310(C2xC4)128,1077
(C22×C4).311(C2×C4) = C24.208C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).311(C2xC4)128,1078
(C22×C4).312(C2×C4) = C23.229C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).312(C2xC4)128,1079
(C22×C4).313(C2×C4) = C23.236C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).313(C2xC4)128,1086
(C22×C4).314(C2×C4) = C24.558C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).314(C2xC4)128,1092
(C22×C4).315(C2×C4) = C23.244C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).315(C2xC4)128,1094
(C22×C4).316(C2×C4) = C23.250C24φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).316(C2xC4)128,1100
(C22×C4).317(C2×C4) = C24.227C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).317(C2xC4)128,1110
(C22×C4).318(C2×C4) = C2×(C22×C8)⋊C2φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).318(C2xC4)128,1610
(C22×C4).319(C2×C4) = C24.73(C2×C4)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).319(C2xC4)128,1611
(C22×C4).320(C2×C4) = D4○(C22⋊C8)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).320(C2xC4)128,1612
(C22×C4).321(C2×C4) = C22×C4.D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).321(C2xC4)128,1617
(C22×C4).322(C2×C4) = C2×C23.37D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).322(C2xC4)128,1625
(C22×C4).323(C2×C4) = C2×C23.38D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).323(C2xC4)128,1626
(C22×C4).324(C2×C4) = C2×C23.36D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).324(C2xC4)128,1627
(C22×C4).325(C2×C4) = C24.98D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).325(C2xC4)128,1628
(C22×C4).326(C2×C4) = C2×C42⋊C22φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).326(C2xC4)128,1632
(C22×C4).327(C2×C4) = C2×C42.6C22φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).327(C2xC4)128,1636
(C22×C4).328(C2×C4) = C42.257C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).328(C2xC4)128,1637
(C22×C4).329(C2×C4) = C42.674C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).329(C2xC4)128,1638
(C22×C4).330(C2×C4) = C2×M4(2)⋊C4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).330(C2xC4)128,1642
(C22×C4).331(C2×C4) = C24.100D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).331(C2xC4)128,1643
(C22×C4).332(C2×C4) = C2×M4(2).C4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).332(C2xC4)128,1647
(C22×C4).333(C2×C4) = C2×C42.7C22φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).333(C2xC4)128,1651
(C22×C4).334(C2×C4) = C42.259C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).334(C2xC4)128,1653
(C22×C4).335(C2×C4) = C42.260C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).335(C2xC4)128,1654
(C22×C4).336(C2×C4) = C42.261C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).336(C2xC4)128,1655
(C22×C4).337(C2×C4) = C42.262C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).337(C2xC4)128,1656
(C22×C4).338(C2×C4) = C42.678C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).338(C2xC4)128,1657
(C22×C4).339(C2×C4) = C2×C86D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).339(C2xC4)128,1660
(C22×C4).340(C2×C4) = C42.265C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).340(C2xC4)128,1662
(C22×C4).341(C2×C4) = C42.266C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).341(C2xC4)128,1664
(C22×C4).342(C2×C4) = M4(2)⋊22D4φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).342(C2xC4)128,1665
(C22×C4).343(C2×C4) = D4×M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).343(C2xC4)128,1666
(C22×C4).344(C2×C4) = M4(2)⋊23D4φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).344(C2xC4)128,1667
(C22×C4).345(C2×C4) = C42.287C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).345(C2xC4)128,1693
(C22×C4).346(C2×C4) = M4(2)⋊9Q8φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).346(C2xC4)128,1694
(C22×C4).347(C2×C4) = Q8×M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).347(C2xC4)128,1695
(C22×C4).348(C2×C4) = C42.292C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).348(C2xC4)128,1699
(C22×C4).349(C2×C4) = C42.293C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).349(C2xC4)128,1700
(C22×C4).350(C2×C4) = C42.294C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).350(C2xC4)128,1701
(C22×C4).351(C2×C4) = D46M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).351(C2xC4)128,1702
(C22×C4).352(C2×C4) = D47M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).352(C2xC4)128,1706
(C22×C4).353(C2×C4) = C42.693C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).353(C2xC4)128,1707
(C22×C4).354(C2×C4) = C42.297C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).354(C2xC4)128,1708
(C22×C4).355(C2×C4) = C42.299C23φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).355(C2xC4)128,1710
(C22×C4).356(C2×C4) = C42.694C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).356(C2xC4)128,1711
(C22×C4).357(C2×C4) = C42.300C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).357(C2xC4)128,1712
(C22×C4).358(C2×C4) = C42.301C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).358(C2xC4)128,1713
(C22×C4).359(C2×C4) = C42.302C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).359(C2xC4)128,1715
(C22×C4).360(C2×C4) = Q8.4M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).360(C2xC4)128,1716
(C22×C4).361(C2×C4) = C42.696C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).361(C2xC4)128,1717
(C22×C4).362(C2×C4) = C42.304C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).362(C2xC4)128,1718
(C22×C4).363(C2×C4) = C42.305C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).363(C2xC4)128,1719
(C22×C4).364(C2×C4) = C42.698C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).364(C2xC4)128,1721
(C22×C4).365(C2×C4) = D48M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).365(C2xC4)128,1722
(C22×C4).366(C2×C4) = Q87M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).366(C2xC4)128,1723
(C22×C4).367(C2×C4) = C42.307C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).367(C2xC4)128,1724
(C22×C4).368(C2×C4) = C42.308C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).368(C2xC4)128,1725
(C22×C4).369(C2×C4) = C42.309C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).369(C2xC4)128,1726
(C22×C4).370(C2×C4) = C42.310C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).370(C2xC4)128,1727
(C22×C4).371(C2×C4) = Q8○M5(2)φ: C2×C4/C2C22 ⊆ Aut C22×C4324(C2^2xC4).371(C2xC4)128,2139
(C22×C4).372(C2×C4) = C2×C23.32C23φ: C2×C4/C2C22 ⊆ Aut C22×C464(C2^2xC4).372(C2xC4)128,2158
(C22×C4).373(C2×C4) = C2×Q8○M4(2)φ: C2×C4/C2C22 ⊆ Aut C22×C432(C2^2xC4).373(C2xC4)128,2304
(C22×C4).374(C2×C4) = C82⋊C2φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).374(C2xC4)128,182
(C22×C4).375(C2×C4) = C2.C43φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).375(C2xC4)128,458
(C22×C4).376(C2×C4) = C8×C22⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).376(C2xC4)128,483
(C22×C4).377(C2×C4) = C8×C4⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).377(C2xC4)128,501
(C22×C4).378(C2×C4) = D4×C16φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).378(C2xC4)128,899
(C22×C4).379(C2×C4) = C2×C4×C4⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).379(C2xC4)128,1001
(C22×C4).380(C2×C4) = C2×C24.C22φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).380(C2xC4)128,1021
(C22×C4).381(C2×C4) = C2×C82M4(2)φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).381(C2xC4)128,1604
(C22×C4).382(C2×C4) = C4×C8○D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).382(C2xC4)128,1606
(C22×C4).383(C2×C4) = D4×C2×C8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).383(C2xC4)128,1658
(C22×C4).384(C2×C4) = C2×C89D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).384(C2xC4)128,1659
(C22×C4).385(C2×C4) = C42.264C23φ: C2×C4/C4C2 ⊆ Aut C22×C432(C2^2xC4).385(C2xC4)128,1661
(C22×C4).386(C2×C4) = Q8×C2×C8φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).386(C2xC4)128,1690
(C22×C4).387(C2×C4) = C8×C4○D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).387(C2xC4)128,1696
(C22×C4).388(C2×C4) = C42.291C23φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).388(C2xC4)128,1698
(C22×C4).389(C2×C4) = M4(2)⋊C8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).389(C2xC4)128,10
(C22×C4).390(C2×C4) = C42.46Q8φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).390(C2xC4)128,11
(C22×C4).391(C2×C4) = M5(2)⋊7C4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).391(C2xC4)128,111
(C22×C4).392(C2×C4) = C89M4(2)φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).392(C2xC4)128,183
(C22×C4).393(C2×C4) = C2×D4⋊C8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).393(C2xC4)128,206
(C22×C4).394(C2×C4) = C2×Q8⋊C8φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).394(C2xC4)128,207
(C22×C4).395(C2×C4) = C42.455D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).395(C2xC4)128,208
(C22×C4).396(C2×C4) = C42.315D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).396(C2xC4)128,224
(C22×C4).397(C2×C4) = C42.316D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).397(C2xC4)128,225
(C22×C4).398(C2×C4) = C42.305D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).398(C2xC4)128,226
(C22×C4).399(C2×C4) = C23.28C42φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).399(C2xC4)128,460
(C22×C4).400(C2×C4) = C2×C426C4φ: C2×C4/C4C2 ⊆ Aut C22×C432(C2^2xC4).400(C2xC4)128,464
(C22×C4).401(C2×C4) = C2×C22.4Q16φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).401(C2xC4)128,466
(C22×C4).402(C2×C4) = C24.132D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).402(C2xC4)128,467
(C22×C4).403(C2×C4) = C2×C4.C42φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).403(C2xC4)128,469
(C22×C4).404(C2×C4) = C24.135D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).404(C2xC4)128,624
(C22×C4).405(C2×C4) = C23.23D8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).405(C2xC4)128,625
(C22×C4).406(C2×C4) = (C2×C4)≀C2φ: C2×C4/C4C2 ⊆ Aut C22×C416(C2^2xC4).406(C2xC4)128,628
(C22×C4).407(C2×C4) = C162M5(2)φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).407(C2xC4)128,840
(C22×C4).408(C2×C4) = C2×D4.C8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).408(C2xC4)128,848
(C22×C4).409(C2×C4) = C4⋊C4.7C8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).409(C2xC4)128,883
(C22×C4).410(C2×C4) = C2×C24.3C22φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).410(C2xC4)128,1024
(C22×C4).411(C2×C4) = C23.178C24φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).411(C2xC4)128,1028
(C22×C4).412(C2×C4) = C4×C22⋊Q8φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).412(C2xC4)128,1034
(C22×C4).413(C2×C4) = C22×D4⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).413(C2xC4)128,1622
(C22×C4).414(C2×C4) = C22×Q8⋊C4φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).414(C2xC4)128,1623
(C22×C4).415(C2×C4) = C2×C23.24D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).415(C2xC4)128,1624
(C22×C4).416(C2×C4) = C22×C4≀C2φ: C2×C4/C4C2 ⊆ Aut C22×C432(C2^2xC4).416(C2xC4)128,1631
(C22×C4).417(C2×C4) = C42.681C23φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).417(C2xC4)128,1663
(C22×C4).418(C2×C4) = C2×C84Q8φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).418(C2xC4)128,1691
(C22×C4).419(C2×C4) = C42.286C23φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).419(C2xC4)128,1692
(C22×C4).420(C2×C4) = C42.290C23φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).420(C2xC4)128,1697
(C22×C4).421(C2×C4) = C2×D4○C16φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).421(C2xC4)128,2138
(C22×C4).422(C2×C4) = Q8×C22×C4φ: C2×C4/C4C2 ⊆ Aut C22×C4128(C2^2xC4).422(C2xC4)128,2155
(C22×C4).423(C2×C4) = C22×C8○D4φ: C2×C4/C4C2 ⊆ Aut C22×C464(C2^2xC4).423(C2xC4)128,2303
(C22×C4).424(C2×C4) = C23.21C42φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).424(C2xC4)128,14
(C22×C4).425(C2×C4) = C42.3Q8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).425(C2xC4)128,15
(C22×C4).426(C2×C4) = C42.4Q8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).426(C2xC4)128,17
(C22×C4).427(C2×C4) = C23⋊C16φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).427(C2xC4)128,46
(C22×C4).428(C2×C4) = C22.M5(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).428(C2xC4)128,54
(C22×C4).429(C2×C4) = C4×C2.C42φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).429(C2xC4)128,164
(C22×C4).430(C2×C4) = C8×M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).430(C2xC4)128,181
(C22×C4).431(C2×C4) = C2×C22.7C42φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).431(C2xC4)128,459
(C22×C4).432(C2×C4) = C43.C2φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).432(C2xC4)128,477
(C22×C4).433(C2×C4) = C4×C22⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).433(C2xC4)128,480
(C22×C4).434(C2×C4) = C42.378D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).434(C2xC4)128,481
(C22×C4).435(C2×C4) = C4×C23⋊C4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).435(C2xC4)128,486
(C22×C4).436(C2×C4) = C4×C4.D4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).436(C2xC4)128,487
(C22×C4).437(C2×C4) = C4×C4.10D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).437(C2xC4)128,488
(C22×C4).438(C2×C4) = C4×C4⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).438(C2xC4)128,498
(C22×C4).439(C2×C4) = C43.7C2φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).439(C2xC4)128,499
(C22×C4).440(C2×C4) = C243C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).440(C2xC4)128,511
(C22×C4).441(C2×C4) = (C23×C4).C4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).441(C2xC4)128,517
(C22×C4).442(C2×C4) = C23.32M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).442(C2xC4)128,549
(C22×C4).443(C2×C4) = C428C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).443(C2xC4)128,563
(C22×C4).444(C2×C4) = C425C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).444(C2xC4)128,571
(C22×C4).445(C2×C4) = C2×C22⋊C16φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).445(C2xC4)128,843
(C22×C4).446(C2×C4) = C24.5C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).446(C2xC4)128,844
(C22×C4).447(C2×C4) = C42.13C8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).447(C2xC4)128,894
(C22×C4).448(C2×C4) = C42.6C8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).448(C2xC4)128,895
(C22×C4).449(C2×C4) = C2×C424C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).449(C2xC4)128,999
(C22×C4).450(C2×C4) = C4×C42⋊C2φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).450(C2xC4)128,1002
(C22×C4).451(C2×C4) = C2×C428C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).451(C2xC4)128,1013
(C22×C4).452(C2×C4) = C2×C425C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).452(C2xC4)128,1014
(C22×C4).453(C2×C4) = C23.165C24φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).453(C2xC4)128,1015
(C22×C4).454(C2×C4) = C22×C8⋊C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).454(C2xC4)128,1602
(C22×C4).455(C2×C4) = C2×C4×M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).455(C2xC4)128,1603
(C22×C4).456(C2×C4) = C22×C22⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).456(C2xC4)128,1608
(C22×C4).457(C2×C4) = C2×C4⋊M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).457(C2xC4)128,1635
(C22×C4).458(C2×C4) = C2×C42.12C4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).458(C2xC4)128,1649
(C22×C4).459(C2×C4) = C2×C42.6C4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).459(C2xC4)128,1650
(C22×C4).460(C2×C4) = C421C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).460(C2xC4)128,6
(C22×C4).461(C2×C4) = C42.20D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).461(C2xC4)128,7
(C22×C4).462(C2×C4) = C426C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).462(C2xC4)128,8
(C22×C4).463(C2×C4) = C42.385D4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).463(C2xC4)128,9
(C22×C4).464(C2×C4) = C42.25D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).464(C2xC4)128,22
(C22×C4).465(C2×C4) = C42.27D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).465(C2xC4)128,24
(C22×C4).466(C2×C4) = C42.2C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).466(C2xC4)128,107
(C22×C4).467(C2×C4) = C42.7C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).467(C2xC4)128,108
(C22×C4).468(C2×C4) = M5(2)⋊C4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).468(C2xC4)128,109
(C22×C4).469(C2×C4) = C23.27C42φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).469(C2xC4)128,184
(C22×C4).470(C2×C4) = C42.371D4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).470(C2xC4)128,190
(C22×C4).471(C2×C4) = C2×C82C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).471(C2xC4)128,294
(C22×C4).472(C2×C4) = C2×C81C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).472(C2xC4)128,295
(C22×C4).473(C2×C4) = C42.42Q8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).473(C2xC4)128,296
(C22×C4).474(C2×C4) = C88M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).474(C2xC4)128,298
(C22×C4).475(C2×C4) = C87M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).475(C2xC4)128,299
(C22×C4).476(C2×C4) = C42.43Q8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).476(C2xC4)128,300
(C22×C4).477(C2×C4) = C2×C4.9C42φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).477(C2xC4)128,462
(C22×C4).478(C2×C4) = C2×C4.10C42φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).478(C2xC4)128,463
(C22×C4).479(C2×C4) = C42.425D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).479(C2xC4)128,529
(C22×C4).480(C2×C4) = C24.133D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).480(C2xC4)128,539
(C22×C4).481(C2×C4) = C23.22D8φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).481(C2xC4)128,540
(C22×C4).482(C2×C4) = C24.19Q8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).482(C2xC4)128,542
(C22×C4).483(C2×C4) = C429C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).483(C2xC4)128,574
(C22×C4).484(C2×C4) = C4×M5(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).484(C2xC4)128,839
(C22×C4).485(C2×C4) = C2×C16⋊C4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).485(C2xC4)128,841
(C22×C4).486(C2×C4) = C2×C23.C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).486(C2xC4)128,846
(C22×C4).487(C2×C4) = C4⋊M5(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).487(C2xC4)128,882
(C22×C4).488(C2×C4) = C2×C8.C8φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).488(C2xC4)128,884
(C22×C4).489(C2×C4) = C25.85C22φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).489(C2xC4)128,1012
(C22×C4).490(C2×C4) = C2×C429C4φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).490(C2xC4)128,1016
(C22×C4).491(C2×C4) = C23.167C24φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).491(C2xC4)128,1017
(C22×C4).492(C2×C4) = C2×C24.4C4φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).492(C2xC4)128,1609
(C22×C4).493(C2×C4) = C22×C4⋊C8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).493(C2xC4)128,1634
(C22×C4).494(C2×C4) = C22×C4.Q8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).494(C2xC4)128,1639
(C22×C4).495(C2×C4) = C22×C2.D8φ: C2×C4/C22C2 ⊆ Aut C22×C4128(C2^2xC4).495(C2xC4)128,1640
(C22×C4).496(C2×C4) = C2×C23.25D4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).496(C2xC4)128,1641
(C22×C4).497(C2×C4) = C22×C8.C4φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).497(C2xC4)128,1646
(C22×C4).498(C2×C4) = C42.677C23φ: C2×C4/C22C2 ⊆ Aut C22×C432(C2^2xC4).498(C2xC4)128,1652
(C22×C4).499(C2×C4) = C23×M4(2)φ: C2×C4/C22C2 ⊆ Aut C22×C464(C2^2xC4).499(C2xC4)128,2302
(C22×C4).500(C2×C4) = C2.C82central extension (φ=1)128(C2^2xC4).500(C2xC4)128,5
(C22×C4).501(C2×C4) = C22.7M5(2)central extension (φ=1)128(C2^2xC4).501(C2xC4)128,106
(C22×C4).502(C2×C4) = C2×C8⋊C8central extension (φ=1)128(C2^2xC4).502(C2xC4)128,180
(C22×C4).503(C2×C4) = C4×C8⋊C4central extension (φ=1)128(C2^2xC4).503(C2xC4)128,457
(C22×C4).504(C2×C4) = C424C8central extension (φ=1)128(C2^2xC4).504(C2xC4)128,476
(C22×C4).505(C2×C4) = C2×C165C4central extension (φ=1)128(C2^2xC4).505(C2xC4)128,838
(C22×C4).506(C2×C4) = C2×C4⋊C16central extension (φ=1)128(C2^2xC4).506(C2xC4)128,881
(C22×C4).507(C2×C4) = C22×M5(2)central extension (φ=1)64(C2^2xC4).507(C2xC4)128,2137

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