Extensions 1→N→G→Q→1 with N=C22×C4 and Q=C2×C6

Direct product G=N×Q with N=C22×C4 and Q=C2×C6
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C22×C4 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C22×C4)⋊(C2×C6) = C2×D4×A4φ: C2×C6/C2C6 ⊆ Aut C22×C424(C2^2xC4):(C2xC6)192,1497
(C22×C4)⋊2(C2×C6) = C3×C243C4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):2(C2xC6)192,812
(C22×C4)⋊3(C2×C6) = C3×C23.7D4φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4):3(C2xC6)192,891
(C22×C4)⋊4(C2×C6) = C3×C22.11C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):4(C2xC6)192,1407
(C22×C4)⋊5(C2×C6) = C3×C22.45C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):5(C2xC6)192,1440
(C22×C4)⋊6(C2×C6) = C6×C22≀C2φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):6(C2xC6)192,1410
(C22×C4)⋊7(C2×C6) = C3×C22.19C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):7(C2xC6)192,1414
(C22×C4)⋊8(C2×C6) = C3×C233D4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):8(C2xC6)192,1423
(C22×C4)⋊9(C2×C6) = C3×C22.29C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):9(C2xC6)192,1424
(C22×C4)⋊10(C2×C6) = C3×C22.32C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):10(C2xC6)192,1427
(C22×C4)⋊11(C2×C6) = C3×D42φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):11(C2xC6)192,1434
(C22×C4)⋊12(C2×C6) = C3×D45D4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):12(C2xC6)192,1435
(C22×C4)⋊13(C2×C6) = C3×C22.54C24φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):13(C2xC6)192,1449
(C22×C4)⋊14(C2×C6) = C6×2+ 1+4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4):14(C2xC6)192,1534
(C22×C4)⋊15(C2×C6) = C3×C2.C25φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4):15(C2xC6)192,1536
(C22×C4)⋊16(C2×C6) = A4×C22×C4φ: C2×C6/C22C3 ⊆ Aut C22×C448(C2^2xC4):16(C2xC6)192,1496
(C22×C4)⋊17(C2×C6) = C2×C6×C22⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):17(C2xC6)192,1401
(C22×C4)⋊18(C2×C6) = D4×C2×C12φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):18(C2xC6)192,1404
(C22×C4)⋊19(C2×C6) = C6×C22.D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):19(C2xC6)192,1413
(C22×C4)⋊20(C2×C6) = C6×C4⋊D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):20(C2xC6)192,1411
(C22×C4)⋊21(C2×C6) = D4×C22×C6φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):21(C2xC6)192,1531
(C22×C4)⋊22(C2×C6) = C2×C6×C4○D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4):22(C2xC6)192,1533

Non-split extensions G=N.Q with N=C22×C4 and Q=C2×C6
extensionφ:Q→Aut NdρLabelID
(C22×C4).1(C2×C6) = A4×D8φ: C2×C6/C2C6 ⊆ Aut C22×C4246+(C2^2xC4).1(C2xC6)192,1014
(C22×C4).2(C2×C6) = A4×SD16φ: C2×C6/C2C6 ⊆ Aut C22×C4246(C2^2xC4).2(C2xC6)192,1015
(C22×C4).3(C2×C6) = A4×Q16φ: C2×C6/C2C6 ⊆ Aut C22×C4486-(C2^2xC4).3(C2xC6)192,1016
(C22×C4).4(C2×C6) = C2×Q8×A4φ: C2×C6/C2C6 ⊆ Aut C22×C448(C2^2xC4).4(C2xC6)192,1499
(C22×C4).5(C2×C6) = A4×C4○D4φ: C2×C6/C2C6 ⊆ Aut C22×C4246(C2^2xC4).5(C2xC6)192,1501
(C22×C4).6(C2×C6) = C3×C23⋊C8φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).6(C2xC6)192,129
(C22×C4).7(C2×C6) = C3×C22.M4(2)φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).7(C2xC6)192,130
(C22×C4).8(C2×C6) = C3×C23.34D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).8(C2xC6)192,814
(C22×C4).9(C2×C6) = C3×C232D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).9(C2xC6)192,825
(C22×C4).10(C2×C6) = C3×C23⋊Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).10(C2xC6)192,826
(C22×C4).11(C2×C6) = C3×C23.10D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).11(C2xC6)192,827
(C22×C4).12(C2×C6) = C3×C23.Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).12(C2xC6)192,829
(C22×C4).13(C2×C6) = C3×C23.11D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).13(C2xC6)192,830
(C22×C4).14(C2×C6) = C3×C23.83C23φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).14(C2xC6)192,833
(C22×C4).15(C2×C6) = C3×C23.84C23φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).15(C2xC6)192,834
(C22×C4).16(C2×C6) = C3×C23.33C23φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).16(C2xC6)192,1409
(C22×C4).17(C2×C6) = C3×C22.47C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).17(C2xC6)192,1442
(C22×C4).18(C2×C6) = C3×C22.53C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).18(C2xC6)192,1448
(C22×C4).19(C2×C6) = C3×C22.SD16φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).19(C2xC6)192,133
(C22×C4).20(C2×C6) = C3×C23.31D4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).20(C2xC6)192,134
(C22×C4).21(C2×C6) = C3×C4.9C42φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).21(C2xC6)192,143
(C22×C4).22(C2×C6) = C3×C4.10C42φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).22(C2xC6)192,144
(C22×C4).23(C2×C6) = C3×C22.C42φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).23(C2xC6)192,149
(C22×C4).24(C2×C6) = C3×M4(2)⋊4C4φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).24(C2xC6)192,150
(C22×C4).25(C2×C6) = C3×C23.63C23φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).25(C2xC6)192,820
(C22×C4).26(C2×C6) = C3×C23.78C23φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).26(C2xC6)192,828
(C22×C4).27(C2×C6) = C3×C23.81C23φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).27(C2xC6)192,831
(C22×C4).28(C2×C6) = C3×C23.4Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).28(C2xC6)192,832
(C22×C4).29(C2×C6) = C3×(C22×C8)⋊C2φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).29(C2xC6)192,841
(C22×C4).30(C2×C6) = C3×C23.C23φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).30(C2xC6)192,843
(C22×C4).31(C2×C6) = C6×C4.D4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).31(C2xC6)192,844
(C22×C4).32(C2×C6) = C6×C4.10D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).32(C2xC6)192,845
(C22×C4).33(C2×C6) = C3×M4(2).8C22φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).33(C2xC6)192,846
(C22×C4).34(C2×C6) = C3×C23.36D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).34(C2xC6)192,850
(C22×C4).35(C2×C6) = C3×C23.37D4φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).35(C2xC6)192,851
(C22×C4).36(C2×C6) = C3×C23.38D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).36(C2xC6)192,852
(C22×C4).37(C2×C6) = C3×C42⋊C22φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).37(C2xC6)192,854
(C22×C4).38(C2×C6) = C3×M4(2)⋊C4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).38(C2xC6)192,861
(C22×C4).39(C2×C6) = C3×M4(2).C4φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).39(C2xC6)192,863
(C22×C4).40(C2×C6) = C3×C42.7C22φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).40(C2xC6)192,866
(C22×C4).41(C2×C6) = C3×C86D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).41(C2xC6)192,869
(C22×C4).42(C2×C6) = C3×C22⋊D8φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).42(C2xC6)192,880
(C22×C4).43(C2×C6) = C3×Q8⋊D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).43(C2xC6)192,881
(C22×C4).44(C2×C6) = C3×D4⋊D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).44(C2xC6)192,882
(C22×C4).45(C2×C6) = C3×C22⋊SD16φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).45(C2xC6)192,883
(C22×C4).46(C2×C6) = C3×C22⋊Q16φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).46(C2xC6)192,884
(C22×C4).47(C2×C6) = C3×D4.7D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).47(C2xC6)192,885
(C22×C4).48(C2×C6) = C3×C8⋊D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).48(C2xC6)192,901
(C22×C4).49(C2×C6) = C3×C82D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).49(C2xC6)192,902
(C22×C4).50(C2×C6) = C3×C8.D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).50(C2xC6)192,903
(C22×C4).51(C2×C6) = C3×C22.D8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).51(C2xC6)192,913
(C22×C4).52(C2×C6) = C3×C23.46D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).52(C2xC6)192,914
(C22×C4).53(C2×C6) = C3×C23.19D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).53(C2xC6)192,915
(C22×C4).54(C2×C6) = C3×C23.47D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).54(C2xC6)192,916
(C22×C4).55(C2×C6) = C3×C23.48D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).55(C2xC6)192,917
(C22×C4).56(C2×C6) = C3×C23.20D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).56(C2xC6)192,918
(C22×C4).57(C2×C6) = C3×C23.32C23φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).57(C2xC6)192,1408
(C22×C4).58(C2×C6) = C6×C22⋊Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).58(C2xC6)192,1412
(C22×C4).59(C2×C6) = C3×C23.36C23φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).59(C2xC6)192,1418
(C22×C4).60(C2×C6) = C6×C4⋊Q8φ: C2×C6/C3C22 ⊆ Aut C22×C4192(C2^2xC4).60(C2xC6)192,1420
(C22×C4).61(C2×C6) = C3×C22.26C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).61(C2xC6)192,1421
(C22×C4).62(C2×C6) = C3×C23.38C23φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).62(C2xC6)192,1425
(C22×C4).63(C2×C6) = C3×C22.31C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).63(C2xC6)192,1426
(C22×C4).64(C2×C6) = C3×C22.33C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).64(C2xC6)192,1428
(C22×C4).65(C2×C6) = C3×C22.34C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).65(C2xC6)192,1429
(C22×C4).66(C2×C6) = C3×C22.35C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).66(C2xC6)192,1430
(C22×C4).67(C2×C6) = C3×C22.36C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).67(C2xC6)192,1431
(C22×C4).68(C2×C6) = C3×C232Q8φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).68(C2xC6)192,1432
(C22×C4).69(C2×C6) = C3×C23.41C23φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).69(C2xC6)192,1433
(C22×C4).70(C2×C6) = C3×D46D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).70(C2xC6)192,1436
(C22×C4).71(C2×C6) = C3×Q85D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).71(C2xC6)192,1437
(C22×C4).72(C2×C6) = C3×D4×Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).72(C2xC6)192,1438
(C22×C4).73(C2×C6) = C3×Q86D4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).73(C2xC6)192,1439
(C22×C4).74(C2×C6) = C3×C22.46C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).74(C2xC6)192,1441
(C22×C4).75(C2×C6) = C3×D43Q8φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).75(C2xC6)192,1443
(C22×C4).76(C2×C6) = C3×C22.49C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).76(C2xC6)192,1444
(C22×C4).77(C2×C6) = C3×C22.50C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).77(C2xC6)192,1445
(C22×C4).78(C2×C6) = C3×C22.56C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).78(C2xC6)192,1451
(C22×C4).79(C2×C6) = C3×C22.57C24φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).79(C2xC6)192,1452
(C22×C4).80(C2×C6) = C3×Q8○M4(2)φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).80(C2xC6)192,1457
(C22×C4).81(C2×C6) = C6×C8⋊C22φ: C2×C6/C3C22 ⊆ Aut C22×C448(C2^2xC4).81(C2xC6)192,1462
(C22×C4).82(C2×C6) = C6×C8.C22φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).82(C2xC6)192,1463
(C22×C4).83(C2×C6) = C3×D8⋊C22φ: C2×C6/C3C22 ⊆ Aut C22×C4484(C2^2xC4).83(C2xC6)192,1464
(C22×C4).84(C2×C6) = C6×2- 1+4φ: C2×C6/C3C22 ⊆ Aut C22×C496(C2^2xC4).84(C2xC6)192,1535
(C22×C4).85(C2×C6) = A4×C2×C8φ: C2×C6/C22C3 ⊆ Aut C22×C448(C2^2xC4).85(C2xC6)192,1010
(C22×C4).86(C2×C6) = A4×M4(2)φ: C2×C6/C22C3 ⊆ Aut C22×C4246(C2^2xC4).86(C2xC6)192,1011
(C22×C4).87(C2×C6) = C6×C2.C42φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).87(C2xC6)192,808
(C22×C4).88(C2×C6) = C3×C424C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).88(C2xC6)192,809
(C22×C4).89(C2×C6) = C12×C22⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).89(C2xC6)192,810
(C22×C4).90(C2×C6) = C12×C4⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).90(C2xC6)192,811
(C22×C4).91(C2×C6) = C3×C23.7Q8φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).91(C2xC6)192,813
(C22×C4).92(C2×C6) = C3×C425C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).92(C2xC6)192,816
(C22×C4).93(C2×C6) = C3×C23.8Q8φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).93(C2xC6)192,818
(C22×C4).94(C2×C6) = C3×C23.23D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).94(C2xC6)192,819
(C22×C4).95(C2×C6) = C3×C24.C22φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).95(C2xC6)192,821
(C22×C4).96(C2×C6) = C3×C23.65C23φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).96(C2xC6)192,822
(C22×C4).97(C2×C6) = C3×C24.3C22φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).97(C2xC6)192,823
(C22×C4).98(C2×C6) = C3×C23.67C23φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).98(C2xC6)192,824
(C22×C4).99(C2×C6) = C3×C24.4C4φ: C2×C6/C6C2 ⊆ Aut C22×C448(C2^2xC4).99(C2xC6)192,840
(C22×C4).100(C2×C6) = C3×C42.12C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).100(C2xC6)192,864
(C22×C4).101(C2×C6) = C3×C42.6C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).101(C2xC6)192,865
(C22×C4).102(C2×C6) = D4×C24φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).102(C2xC6)192,867
(C22×C4).103(C2×C6) = C3×C89D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).103(C2xC6)192,868
(C22×C4).104(C2×C6) = C6×C42⋊C2φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).104(C2xC6)192,1403
(C22×C4).105(C2×C6) = Q8×C2×C12φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).105(C2xC6)192,1405
(C22×C4).106(C2×C6) = C12×C4○D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).106(C2xC6)192,1406
(C22×C4).107(C2×C6) = C6×C4.4D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).107(C2xC6)192,1415
(C22×C4).108(C2×C6) = C6×C42.C2φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).108(C2xC6)192,1416
(C22×C4).109(C2×C6) = C6×C422C2φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).109(C2xC6)192,1417
(C22×C4).110(C2×C6) = C3×C426C4φ: C2×C6/C6C2 ⊆ Aut C22×C448(C2^2xC4).110(C2xC6)192,145
(C22×C4).111(C2×C6) = C3×C22.4Q16φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).111(C2xC6)192,146
(C22×C4).112(C2×C6) = C3×C4.C42φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).112(C2xC6)192,147
(C22×C4).113(C2×C6) = C3×C428C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).113(C2xC6)192,815
(C22×C4).114(C2×C6) = C3×C429C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).114(C2xC6)192,817
(C22×C4).115(C2×C6) = C12×M4(2)φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).115(C2xC6)192,837
(C22×C4).116(C2×C6) = C3×C82M4(2)φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).116(C2xC6)192,838
(C22×C4).117(C2×C6) = C6×D4⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).117(C2xC6)192,847
(C22×C4).118(C2×C6) = C6×Q8⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).118(C2xC6)192,848
(C22×C4).119(C2×C6) = C3×C23.24D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).119(C2xC6)192,849
(C22×C4).120(C2×C6) = C6×C4≀C2φ: C2×C6/C6C2 ⊆ Aut C22×C448(C2^2xC4).120(C2xC6)192,853
(C22×C4).121(C2×C6) = C3×C4⋊M4(2)φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).121(C2xC6)192,856
(C22×C4).122(C2×C6) = C3×C42.6C22φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).122(C2xC6)192,857
(C22×C4).123(C2×C6) = C6×C4.Q8φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).123(C2xC6)192,858
(C22×C4).124(C2×C6) = C6×C2.D8φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).124(C2xC6)192,859
(C22×C4).125(C2×C6) = C3×C23.25D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).125(C2xC6)192,860
(C22×C4).126(C2×C6) = C6×C8.C4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).126(C2xC6)192,862
(C22×C4).127(C2×C6) = C3×C88D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).127(C2xC6)192,898
(C22×C4).128(C2×C6) = C3×C87D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).128(C2xC6)192,899
(C22×C4).129(C2×C6) = C3×C8.18D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).129(C2xC6)192,900
(C22×C4).130(C2×C6) = C2×C6×C4⋊C4φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).130(C2xC6)192,1402
(C22×C4).131(C2×C6) = C6×C41D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).131(C2xC6)192,1419
(C22×C4).132(C2×C6) = C3×C23.37C23φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).132(C2xC6)192,1422
(C22×C4).133(C2×C6) = C2×C6×M4(2)φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).133(C2xC6)192,1455
(C22×C4).134(C2×C6) = C6×C8○D4φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).134(C2xC6)192,1456
(C22×C4).135(C2×C6) = C2×C6×D8φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).135(C2xC6)192,1458
(C22×C4).136(C2×C6) = C2×C6×SD16φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).136(C2xC6)192,1459
(C22×C4).137(C2×C6) = C2×C6×Q16φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).137(C2xC6)192,1460
(C22×C4).138(C2×C6) = C6×C4○D8φ: C2×C6/C6C2 ⊆ Aut C22×C496(C2^2xC4).138(C2xC6)192,1461
(C22×C4).139(C2×C6) = Q8×C22×C6φ: C2×C6/C6C2 ⊆ Aut C22×C4192(C2^2xC4).139(C2xC6)192,1532
(C22×C4).140(C2×C6) = C3×C22.7C42central extension (φ=1)192(C2^2xC4).140(C2xC6)192,142
(C22×C4).141(C2×C6) = C6×C8⋊C4central extension (φ=1)192(C2^2xC4).141(C2xC6)192,836
(C22×C4).142(C2×C6) = C6×C22⋊C8central extension (φ=1)96(C2^2xC4).142(C2xC6)192,839
(C22×C4).143(C2×C6) = C6×C4⋊C8central extension (φ=1)192(C2^2xC4).143(C2xC6)192,855

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