Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=D60 and Q=C22

Direct product G=N×Q with N=D60 and Q=C22
dρLabelID
C22×D60240C2^2xD60480,1167

Semidirect products G=N:Q with N=D60 and Q=C22
extensionφ:Q→Out NdρLabelID
D60⋊1C22 = D5×D4⋊S3φ: C22/C1 → C22 ⊆ Out D601208+D60:1C2^2480,553
D60⋊2C22 = S3×D4⋊D5φ: C22/C1 → C22 ⊆ Out D601208+D60:2C2^2480,555
D60⋊3C22 = D15⋊D8φ: C22/C1 → C22 ⊆ Out D601208+D60:3C2^2480,557
D60⋊4C22 = D20.9D6φ: C22/C1 → C22 ⊆ Out D601208+D60:4C2^2480,567
D60⋊5C22 = D12.9D10φ: C22/C1 → C22 ⊆ Out D601208+D60:5C2^2480,572
D60⋊6C22 = D60⋊C22φ: C22/C1 → C22 ⊆ Out D601208+D60:6C2^2480,582
D60⋊7C22 = S3×D4×D5φ: C22/C1 → C22 ⊆ Out D60608+D60:7C2^2480,1097
D60⋊8C22 = D30.C23φ: C22/C1 → C22 ⊆ Out D601208+D60:8C2^2480,1100
D60⋊9C22 = D20⋊14D6φ: C22/C1 → C22 ⊆ Out D601208+D60:9C2^2480,1102
D60⋊10C22 = D12⋊14D10φ: C22/C1 → C22 ⊆ Out D601208+D60:10C2^2480,1103
D60⋊11C22 = D5×Q8⋊3S3φ: C22/C1 → C22 ⊆ Out D601208+D60:11C2^2480,1108
D60⋊12C22 = S3×Q8⋊2D5φ: C22/C1 → C22 ⊆ Out D601208+D60:12C2^2480,1109
D60⋊13C22 = D20⋊17D6φ: C22/C1 → C22 ⊆ Out D601208+D60:13C2^2480,1111
D60⋊14C22 = D8×D15φ: C22/C1 → C22 ⊆ Out D601204+D60:14C2^2480,875
D60⋊15C22 = Q8⋊3D30φ: C22/C1 → C22 ⊆ Out D601204+D60:15C2^2480,879
D60⋊16C22 = S3×D40φ: C22/C1 → C22 ⊆ Out D601204+D60:16C2^2480,328
D60⋊17C22 = C40⋊1D6φ: C22/C1 → C22 ⊆ Out D601204+D60:17C2^2480,329
D60⋊18C22 = D5×D24φ: C22/C1 → C22 ⊆ Out D601204+D60:18C2^2480,324
D60⋊19C22 = C24⋊D10φ: C22/C1 → C22 ⊆ Out D601204+D60:19C2^2480,325
D60⋊20C22 = C2×D120φ: C22/C2 → C2 ⊆ Out D60240D60:20C2^2480,868
D60⋊21C22 = C8⋊D30φ: C22/C2 → C2 ⊆ Out D601204+D60:21C2^2480,873
D60⋊22C22 = C2×D4⋊D15φ: C22/C2 → C2 ⊆ Out D60240D60:22C2^2480,896
D60⋊23C22 = D4.D30φ: C22/C2 → C2 ⊆ Out D601204D60:23C2^2480,897
D60⋊24C22 = C2×D4×D15φ: C22/C2 → C2 ⊆ Out D60120D60:24C2^2480,1169
D60⋊25C22 = D4⋊6D30φ: C22/C2 → C2 ⊆ Out D601204D60:25C2^2480,1171
D60⋊26C22 = C2×Q8⋊3D15φ: C22/C2 → C2 ⊆ Out D60240D60:26C2^2480,1173
D60⋊27C22 = C4○D4×D15φ: C22/C2 → C2 ⊆ Out D601204D60:27C2^2480,1175
D60⋊28C22 = D4⋊8D30φ: C22/C2 → C2 ⊆ Out D601204+D60:28C2^2480,1176
D60⋊29C22 = C2×C3⋊D40φ: C22/C2 → C2 ⊆ Out D60240D60:29C2^2480,376
D60⋊30C22 = D60⋊30C22φ: C22/C2 → C2 ⊆ Out D601204D60:30C2^2480,388
D60⋊31C22 = C2×D60⋊C2φ: C22/C2 → C2 ⊆ Out D60240D60:31C2^2480,1081
D60⋊32C22 = C2×S3×D20φ: C22/C2 → C2 ⊆ Out D60120D60:32C2^2480,1088
D60⋊33C22 = S3×C4○D20φ: C22/C2 → C2 ⊆ Out D601204D60:33C2^2480,1091
D60⋊34C22 = D20⋊25D6φ: C22/C2 → C2 ⊆ Out D601204D60:34C2^2480,1093
D60⋊35C22 = C2×C5⋊D24φ: C22/C2 → C2 ⊆ Out D60240D60:35C2^2480,378
D60⋊36C22 = D60⋊36C22φ: C22/C2 → C2 ⊆ Out D601204D60:36C2^2480,380
D60⋊37C22 = C2×C12.28D10φ: C22/C2 → C2 ⊆ Out D60240D60:37C2^2480,1085
D60⋊38C22 = C2×D5×D12φ: C22/C2 → C2 ⊆ Out D60120D60:38C2^2480,1087
D60⋊39C22 = D5×C4○D12φ: C22/C2 → C2 ⊆ Out D601204D60:39C2^2480,1090
D60⋊40C22 = D20⋊26D6φ: C22/C2 → C2 ⊆ Out D601204D60:40C2^2480,1094
D60⋊41C22 = D20⋊29D6φ: C22/C2 → C2 ⊆ Out D601204+D60:41C2^2480,1095
D60⋊42C22 = C2×D60⋊11C2φ: trivial image240D60:42C2^2480,1168

Non-split extensions G=N.Q with N=D60 and Q=C22
extensionφ:Q→Out NdρLabelID
D60.1C22 = Dic10⋊3D6φ: C22/C1 → C22 ⊆ Out D601208+D60.1C2^2480,554
D60.2C22 = D60.C22φ: C22/C1 → C22 ⊆ Out D601208+D60.2C2^2480,556
D60.3C22 = Dic10⋊D6φ: C22/C1 → C22 ⊆ Out D601208+D60.3C2^2480,563
D60.4C22 = C60.16C23φ: C22/C1 → C22 ⊆ Out D602408+D60.4C2^2480,568
D60.5C22 = C60.19C23φ: C22/C1 → C22 ⊆ Out D602408+D60.5C2^2480,571
D60.6C22 = Dic6⋊D10φ: C22/C1 → C22 ⊆ Out D601208+D60.6C2^2480,574
D60.7C22 = D12⋊5D10φ: C22/C1 → C22 ⊆ Out D601208+D60.7C2^2480,576
D60.8C22 = D5×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out D601208+D60.8C2^2480,577
D60.9C22 = D20⋊D6φ: C22/C1 → C22 ⊆ Out D601208+D60.9C2^2480,578
D60.10C22 = S3×Q8⋊D5φ: C22/C1 → C22 ⊆ Out D601208+D60.10C2^2480,579
D60.11C22 = D12⋊D10φ: C22/C1 → C22 ⊆ Out D601208+D60.11C2^2480,580
D60.12C22 = C60.C23φ: C22/C1 → C22 ⊆ Out D602408+D60.12C2^2480,588
D60.13C22 = C60.39C23φ: C22/C1 → C22 ⊆ Out D602408+D60.13C2^2480,591
D60.14C22 = D20.D6φ: C22/C1 → C22 ⊆ Out D602408+D60.14C2^2480,592
D60.15C22 = Dic10.27D6φ: C22/C1 → C22 ⊆ Out D602408+D60.15C2^2480,595
D60.16C22 = C60.44C23φ: C22/C1 → C22 ⊆ Out D602408+D60.16C2^2480,596
D60.17C22 = D20.16D6φ: C22/C1 → C22 ⊆ Out D602408+D60.17C2^2480,597
D60.18C22 = D12.D10φ: C22/C1 → C22 ⊆ Out D602408+D60.18C2^2480,599
D60.19C22 = C30.33C24φ: C22/C1 → C22 ⊆ Out D602408+D60.19C2^2480,1105
D60.20C22 = D8⋊D15φ: C22/C1 → C22 ⊆ Out D601204D60.20C2^2480,876
D60.21C22 = SD16×D15φ: C22/C1 → C22 ⊆ Out D601204D60.21C2^2480,878
D60.22C22 = D4.5D30φ: C22/C1 → C22 ⊆ Out D602404D60.22C2^2480,881
D60.23C22 = Q16⋊D15φ: C22/C1 → C22 ⊆ Out D602404D60.23C2^2480,883
D60.24C22 = D120⋊8C2φ: C22/C1 → C22 ⊆ Out D602404+D60.24C2^2480,884
D60.25C22 = S3×C40⋊C2φ: C22/C1 → C22 ⊆ Out D601204D60.25C2^2480,327
D60.26C22 = D40⋊S3φ: C22/C1 → C22 ⊆ Out D601204D60.26C2^2480,330
D60.27C22 = Dic20⋊S3φ: C22/C1 → C22 ⊆ Out D602404D60.27C2^2480,339
D60.28C22 = D6.1D20φ: C22/C1 → C22 ⊆ Out D602404D60.28C2^2480,348
D60.29C22 = D120⋊5C2φ: C22/C1 → C22 ⊆ Out D602404+D60.29C2^2480,351
D60.30C22 = D5×C24⋊C2φ: C22/C1 → C22 ⊆ Out D601204D60.30C2^2480,323
D60.31C22 = D24⋊D5φ: C22/C1 → C22 ⊆ Out D601204D60.31C2^2480,326
D60.32C22 = C24.2D10φ: C22/C1 → C22 ⊆ Out D602404D60.32C2^2480,337
D60.33C22 = C40.31D6φ: C22/C1 → C22 ⊆ Out D602404D60.33C2^2480,345
D60.34C22 = D120⋊C2φ: C22/C1 → C22 ⊆ Out D602404+D60.34C2^2480,347
D60.35C22 = C2×C24⋊D5φ: C22/C2 → C2 ⊆ Out D60240D60.35C2^2480,867
D60.36C22 = C40.69D6φ: C22/C2 → C2 ⊆ Out D602402D60.36C2^2480,869
D60.37C22 = C8.D30φ: C22/C2 → C2 ⊆ Out D602404-D60.37C2^2480,874
D60.38C22 = C2×Q8⋊2D15φ: C22/C2 → C2 ⊆ Out D60240D60.38C2^2480,906
D60.39C22 = Q8.11D30φ: C22/C2 → C2 ⊆ Out D602404D60.39C2^2480,907
D60.40C22 = D4⋊D30φ: C22/C2 → C2 ⊆ Out D601204+D60.40C2^2480,914
D60.41C22 = D4.8D30φ: C22/C2 → C2 ⊆ Out D602404D60.41C2^2480,915
D60.42C22 = Q8.15D30φ: C22/C2 → C2 ⊆ Out D602404D60.42C2^2480,1174
D60.43C22 = D20⋊19D6φ: C22/C2 → C2 ⊆ Out D601204+D60.43C2^2480,377
D60.44C22 = D20.31D6φ: C22/C2 → C2 ⊆ Out D602404D60.44C2^2480,387
D60.45C22 = C2×C15⋊SD16φ: C22/C2 → C2 ⊆ Out D60240D60.45C2^2480,390
D60.46C22 = C12.D20φ: C22/C2 → C2 ⊆ Out D602404D60.46C2^2480,391
D60.47C22 = C30.C24φ: C22/C2 → C2 ⊆ Out D602404D60.47C2^2480,1080
D60.48C22 = C20.60D12φ: C22/C2 → C2 ⊆ Out D602404D60.48C2^2480,379
D60.49C22 = C60.38D4φ: C22/C2 → C2 ⊆ Out D601204+D60.49C2^2480,381
D60.50C22 = C2×Dic6⋊D5φ: C22/C2 → C2 ⊆ Out D60240D60.50C2^2480,393
D60.51C22 = C20.D12φ: C22/C2 → C2 ⊆ Out D602404D60.51C2^2480,397
D60.52C22 = D20.38D6φ: C22/C2 → C2 ⊆ Out D602404D60.52C2^2480,1076
D60.53C22 = D4.10D30φ: trivial image2404-D60.53C2^2480,1177

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁