Extensions 1→N→G→Q→1 with N=C2×C12 and Q=D10

Direct product G=N×Q with N=C2×C12 and Q=D10
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=C2×C12 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2×C12)⋊1D10 = D304D4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):1D10480,551
(C2×C12)⋊2D10 = D305D4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):2D10480,552
(C2×C12)⋊3D10 = D3016D4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):3D10480,847
(C2×C12)⋊4D10 = C2×S3×D20φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):4D10480,1088
(C2×C12)⋊5D10 = C2×C20⋊D6φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):5D10480,1089
(C2×C12)⋊6D10 = S3×C4○D20φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):6D10480,1091
(C2×C12)⋊7D10 = D2024D6φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):7D10480,1092
(C2×C12)⋊8D10 = D2025D6φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):8D10480,1093
(C2×C12)⋊9D10 = D2026D6φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):9D10480,1094
(C2×C12)⋊10D10 = D2029D6φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12):10D10480,1095
(C2×C12)⋊11D10 = C2×D4×D15φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):11D10480,1169
(C2×C12)⋊12D10 = D46D30φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):12D10480,1171
(C2×C12)⋊13D10 = C4○D4×D15φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):13D10480,1175
(C2×C12)⋊14D10 = D48D30φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12):14D10480,1176
(C2×C12)⋊15D10 = S3×D10⋊C4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):15D10480,548
(C2×C12)⋊16D10 = D30.27D4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):16D10480,549
(C2×C12)⋊17D10 = C22⋊C4×D15φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):17D10480,845
(C2×C12)⋊18D10 = D64D20φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):18D10480,550
(C2×C12)⋊19D10 = C3×C22⋊D20φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):19D10480,675
(C2×C12)⋊20D10 = C3×C23⋊D10φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):20D10480,730
(C2×C12)⋊21D10 = D3017D4φ: D10/C5C22 ⊆ Aut C2×C12120(C2xC12):21D10480,902
(C2×C12)⋊22D10 = C3×D46D10φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):22D10480,1141
(C2×C12)⋊23D10 = C3×D48D10φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12):23D10480,1146
(C2×C12)⋊24D10 = D5×D6⋊C4φ: D10/D5C2 ⊆ Aut C2×C12120(C2xC12):24D10480,547
(C2×C12)⋊25D10 = C3×D5×C22⋊C4φ: D10/D5C2 ⊆ Aut C2×C12120(C2xC12):25D10480,673
(C2×C12)⋊26D10 = C2×D5×D12φ: D10/D5C2 ⊆ Aut C2×C12120(C2xC12):26D10480,1087
(C2×C12)⋊27D10 = D5×C4○D12φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12):27D10480,1090
(C2×C12)⋊28D10 = S3×C2×C4×D5φ: D10/D5C2 ⊆ Aut C2×C12120(C2xC12):28D10480,1086
(C2×C12)⋊29D10 = C6×D4×D5φ: D10/D5C2 ⊆ Aut C2×C12120(C2xC12):29D10480,1139
(C2×C12)⋊30D10 = C3×D5×C4○D4φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12):30D10480,1145
(C2×C12)⋊31D10 = C6×D10⋊C4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):31D10480,720
(C2×C12)⋊32D10 = C2×D303C4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):32D10480,892
(C2×C12)⋊33D10 = C22×D60φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):33D10480,1167
(C2×C12)⋊34D10 = C2×D6011C2φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):34D10480,1168
(C2×C12)⋊35D10 = C22×C4×D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):35D10480,1166
(C2×C12)⋊36D10 = C2×C6×D20φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):36D10480,1137
(C2×C12)⋊37D10 = C6×C4○D20φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12):37D10480,1138

Non-split extensions G=N.Q with N=C2×C12 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2×C12).1D10 = Dic3⋊Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).1D10480,404
(C2×C12).2D10 = Dic15⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).2D10480,405
(C2×C12).3D10 = Dic5.1Dic6φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).3D10480,410
(C2×C12).4D10 = Dic5.2Dic6φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).4D10480,411
(C2×C12).5D10 = Dic15.Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).5D10480,412
(C2×C12).6D10 = C4⋊Dic3⋊D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).6D10480,413
(C2×C12).7D10 = C605C4⋊C2φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).7D10480,418
(C2×C12).8D10 = Dic3.Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).8D10480,419
(C2×C12).9D10 = D30.D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).9D10480,432
(C2×C12).10D10 = (C2×C12).D10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).10D10480,437
(C2×C12).11D10 = (C2×C60).C22φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).11D10480,438
(C2×C12).12D10 = D10.16D12φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).12D10480,489
(C2×C12).13D10 = D10.17D12φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).13D10480,490
(C2×C12).14D10 = Dic5⋊D12φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).14D10480,492
(C2×C12).15D10 = D62Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).15D10480,493
(C2×C12).16D10 = D302Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).16D10480,495
(C2×C12).17D10 = D30⋊D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).17D10480,496
(C2×C12).18D10 = D101Dic6φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).18D10480,497
(C2×C12).19D10 = D102Dic6φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).19D10480,498
(C2×C12).20D10 = (C2×D12).D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).20D10480,499
(C2×C12).21D10 = D303Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).21D10480,500
(C2×C12).22D10 = Dic15.D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).22D10480,506
(C2×C12).23D10 = D104Dic6φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).23D10480,507
(C2×C12).24D10 = D63Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).24D10480,508
(C2×C12).25D10 = D30.6D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).25D10480,509
(C2×C12).26D10 = Dic152D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).26D10480,529
(C2×C12).27D10 = (C2×Dic6)⋊D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).27D10480,531
(C2×C12).28D10 = D6.9D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).28D10480,533
(C2×C12).29D10 = D302D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).29D10480,535
(C2×C12).30D10 = Dic15.10D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).30D10480,538
(C2×C12).31D10 = C222Dic30φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).31D10480,843
(C2×C12).32D10 = C23.8D30φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).32D10480,844
(C2×C12).33D10 = D30.28D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).33D10480,848
(C2×C12).34D10 = C23.11D30φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).34D10480,850
(C2×C12).35D10 = C22.D60φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).35D10480,851
(C2×C12).36D10 = Dic15.3Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).36D10480,854
(C2×C12).37D10 = C4.Dic30φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).37D10480,855
(C2×C12).38D10 = D30.29D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).38D10480,859
(C2×C12).39D10 = C4⋊D60φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).39D10480,860
(C2×C12).40D10 = D306Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).40D10480,862
(C2×C12).41D10 = C60.28D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).41D10480,34
(C2×C12).42D10 = C20.5D12φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).42D10480,35
(C2×C12).43D10 = C60.29D4φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).43D10480,36
(C2×C12).44D10 = C12.6D20φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).44D10480,37
(C2×C12).45D10 = C60.54D4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).45D10480,38
(C2×C12).46D10 = C60.31D4φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).46D10480,39
(C2×C12).47D10 = C30.D8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).47D10480,40
(C2×C12).48D10 = C6.D40φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).48D10480,41
(C2×C12).49D10 = D12⋊Dic5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).49D10480,42
(C2×C12).50D10 = D6012C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).50D10480,44
(C2×C12).51D10 = C30.Q16φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).51D10480,46
(C2×C12).52D10 = C6.Dic20φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).52D10480,47
(C2×C12).53D10 = Dic6⋊Dic5φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).53D10480,48
(C2×C12).54D10 = Dic3012C4φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).54D10480,50
(C2×C12).55D10 = C60.96D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).55D10480,52
(C2×C12).56D10 = C60.97D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).56D10480,53
(C2×C12).57D10 = C60.98D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).57D10480,54
(C2×C12).58D10 = D6013C4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).58D10480,56
(C2×C12).59D10 = C30.SD16φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).59D10480,62
(C2×C12).60D10 = C60.Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).60D10480,63
(C2×C12).61D10 = C30.20D8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).61D10480,65
(C2×C12).62D10 = C60.5Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).62D10480,66
(C2×C12).63D10 = C60.D4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).63D10480,68
(C2×C12).64D10 = C12.59D20φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).64D10480,69
(C2×C12).65D10 = C60.1Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).65D10480,167
(C2×C12).66D10 = C60.2Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).66D10480,168
(C2×C12).67D10 = D609C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).67D10480,169
(C2×C12).68D10 = Dic309C4φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).68D10480,170
(C2×C12).69D10 = C60.210D4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).69D10480,182
(C2×C12).70D10 = M4(2)⋊D15φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).70D10480,183
(C2×C12).71D10 = C4.D60φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).71D10480,184
(C2×C12).72D10 = D6010C4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).72D10480,185
(C2×C12).73D10 = D4⋊Dic15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).73D10480,192
(C2×C12).74D10 = C60.8D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).74D10480,193
(C2×C12).75D10 = Q82Dic15φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).75D10480,195
(C2×C12).76D10 = C60.10D4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).76D10480,196
(C2×C12).77D10 = Q83Dic15φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).77D10480,197
(C2×C12).78D10 = D20.3Dic3φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).78D10480,359
(C2×C12).79D10 = D20.2Dic3φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).79D10480,360
(C2×C12).80D10 = S3×C4.Dic5φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).80D10480,363
(C2×C12).81D10 = D12.Dic5φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).81D10480,364
(C2×C12).82D10 = D60.4C4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).82D10480,367
(C2×C12).83D10 = D154M4(2)φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).83D10480,368
(C2×C12).84D10 = C2×C15⋊D8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).84D10480,372
(C2×C12).85D10 = D20.34D6φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).85D10480,373
(C2×C12).86D10 = C60.36D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).86D10480,374
(C2×C12).87D10 = D2021D6φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).87D10480,375
(C2×C12).88D10 = C2×C3⋊D40φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).88D10480,376
(C2×C12).89D10 = D2019D6φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).89D10480,377
(C2×C12).90D10 = D6036C22φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).90D10480,380
(C2×C12).91D10 = C60.38D4φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).91D10480,381
(C2×C12).92D10 = C2×C30.D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).92D10480,382
(C2×C12).93D10 = D20.37D6φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).93D10480,383
(C2×C12).94D10 = C2×C20.D6φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).94D10480,384
(C2×C12).95D10 = D12.37D10φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).95D10480,385
(C2×C12).96D10 = C2×C6.D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).96D10480,386
(C2×C12).97D10 = D20.31D6φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).97D10480,387
(C2×C12).98D10 = D6030C22φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).98D10480,388
(C2×C12).99D10 = C60.63D4φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).99D10480,389
(C2×C12).100D10 = C2×C15⋊SD16φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).100D10480,390
(C2×C12).101D10 = C12.D20φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).101D10480,391
(C2×C12).102D10 = C2×C15⋊Q16φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).102D10480,394
(C2×C12).103D10 = C2×C3⋊Dic20φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).103D10480,395
(C2×C12).104D10 = C20.D12φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).104D10480,397
(C2×C12).105D10 = D12.33D10φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).105D10480,398
(C2×C12).106D10 = Dic3×Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).106D10480,406
(C2×C12).107D10 = Dic156Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).107D10480,407
(C2×C12).108D10 = (S3×C20)⋊5C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).108D10480,414
(C2×C12).109D10 = Dic3014C4φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).109D10480,416
(C2×C12).110D10 = Dic157Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).110D10480,420
(C2×C12).111D10 = (C4×D15)⋊8C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).111D10480,423
(C2×C12).112D10 = C60.44D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).112D10480,440
(C2×C12).113D10 = C60.45D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).113D10480,441
(C2×C12).114D10 = C60.88D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).114D10480,444
(C2×C12).115D10 = C60.46D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).115D10480,445
(C2×C12).116D10 = C60.89D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).116D10480,446
(C2×C12).117D10 = C60.47D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).117D10480,450
(C2×C12).118D10 = C60.6Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).118D10480,457
(C2×C12).119D10 = D309Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).119D10480,459
(C2×C12).120D10 = C12.Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).120D10480,460
(C2×C12).121D10 = Dic158Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).121D10480,461
(C2×C12).122D10 = C60.48D4φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).122D10480,465
(C2×C12).123D10 = D3010Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).123D10480,466
(C2×C12).124D10 = Dic3×D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).124D10480,501
(C2×C12).125D10 = S3×C4⋊Dic5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).125D10480,502
(C2×C12).126D10 = D6014C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).126D10480,504
(C2×C12).127D10 = D208Dic3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).127D10480,510
(C2×C12).128D10 = Dic158D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).128D10480,511
(C2×C12).129D10 = D30.2Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).129D10480,513
(C2×C12).130D10 = C604D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).130D10480,532
(C2×C12).131D10 = C12⋊D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).131D10480,534
(C2×C12).132D10 = C606D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).132D10480,536
(C2×C12).133D10 = C6010D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).133D10480,539
(C2×C12).134D10 = C122D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).134D10480,541
(C2×C12).135D10 = C202D12φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).135D10480,542
(C2×C12).136D10 = C204Dic6φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).136D10480,545
(C2×C12).137D10 = C20⋊Dic6φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).137D10480,546
(C2×C12).138D10 = C4⋊Dic30φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).138D10480,853
(C2×C12).139D10 = M4(2)×D15φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).139D10480,871
(C2×C12).140D10 = D60.3C4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).140D10480,872
(C2×C12).141D10 = C8⋊D30φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).141D10480,873
(C2×C12).142D10 = C8.D30φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).142D10480,874
(C2×C12).143D10 = C2×D4⋊D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).143D10480,896
(C2×C12).144D10 = D4.D30φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).144D10480,897
(C2×C12).145D10 = C2×D4.D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).145D10480,898
(C2×C12).146D10 = D4×Dic15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).146D10480,899
(C2×C12).147D10 = C60.17D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).147D10480,901
(C2×C12).148D10 = C602D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).148D10480,903
(C2×C12).149D10 = C603D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).149D10480,905
(C2×C12).150D10 = C2×Q82D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).150D10480,906
(C2×C12).151D10 = Q8.11D30φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).151D10480,907
(C2×C12).152D10 = C2×C157Q16φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).152D10480,908
(C2×C12).153D10 = Dic154Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).153D10480,909
(C2×C12).154D10 = Q8×Dic15φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).154D10480,910
(C2×C12).155D10 = D4.Dic15φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).155D10480,913
(C2×C12).156D10 = D4⋊D30φ: D10/C5C22 ⊆ Aut C2×C121204+(C2xC12).156D10480,914
(C2×C12).157D10 = D4.8D30φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).157D10480,915
(C2×C12).158D10 = D4.9D30φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).158D10480,916
(C2×C12).159D10 = C2×D205S3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).159D10480,1074
(C2×C12).160D10 = C2×D20⋊S3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).160D10480,1075
(C2×C12).161D10 = D20.38D6φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).161D10480,1076
(C2×C12).162D10 = D20.39D6φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).162D10480,1077
(C2×C12).163D10 = C2×S3×Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).163D10480,1078
(C2×C12).164D10 = C2×D12⋊D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).164D10480,1079
(C2×C12).165D10 = C30.C24φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).165D10480,1080
(C2×C12).166D10 = C2×D60⋊C2φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).166D10480,1081
(C2×C12).167D10 = C2×D15⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).167D10480,1082
(C2×C12).168D10 = C2×D42D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).168D10480,1170
(C2×C12).169D10 = C2×Q8×D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).169D10480,1172
(C2×C12).170D10 = C2×Q83D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).170D10480,1173
(C2×C12).171D10 = Q8.15D30φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).171D10480,1174
(C2×C12).172D10 = D4.10D30φ: D10/C5C22 ⊆ Aut C2×C122404-(C2xC12).172D10480,1177
(C2×C12).173D10 = Dic35Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).173D10480,400
(C2×C12).174D10 = Dic155Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).174D10480,401
(C2×C12).175D10 = D6⋊Dic5⋊C2φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).175D10480,427
(C2×C12).176D10 = D6⋊Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).176D10480,428
(C2×C12).177D10 = Dic3.D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).177D10480,429
(C2×C12).178D10 = D30.34D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).178D10480,430
(C2×C12).179D10 = D30.35D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).179D10480,431
(C2×C12).180D10 = (C4×Dic3)⋊D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).180D10480,439
(C2×C12).181D10 = (C4×Dic15)⋊C2φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).181D10480,442
(C2×C12).182D10 = D6⋊Dic5.C2φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).182D10480,443
(C2×C12).183D10 = D308Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).183D10480,453
(C2×C12).184D10 = Dic3.3Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).184D10480,455
(C2×C12).185D10 = C10.D4⋊S3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).185D10480,456
(C2×C12).186D10 = Dic15.4Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).186D10480,458
(C2×C12).187D10 = (D5×Dic3)⋊C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).187D10480,469
(C2×C12).188D10 = D10.19(C4×S3)φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).188D10480,470
(C2×C12).189D10 = Dic34D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).189D10480,471
(C2×C12).190D10 = Dic1513D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).190D10480,472
(C2×C12).191D10 = S3×C10.D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).191D10480,475
(C2×C12).192D10 = (S3×Dic5)⋊C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).192D10480,476
(C2×C12).193D10 = D30.23(C2×C4)φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).193D10480,479
(C2×C12).194D10 = D30.Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).194D10480,480
(C2×C12).195D10 = Dic1514D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).195D10480,482
(C2×C12).196D10 = C1517(C4×D4)φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).196D10480,517
(C2×C12).197D10 = Dic159D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).197D10480,518
(C2×C12).198D10 = C1522(C4×D4)φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).198D10480,522
(C2×C12).199D10 = D10⋊C4⋊S3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).199D10480,528
(C2×C12).200D10 = D6⋊D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).200D10480,530
(C2×C12).201D10 = D3012D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).201D10480,537
(C2×C12).202D10 = Dic15.31D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).202D10480,540
(C2×C12).203D10 = C23.15D30φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).203D10480,842
(C2×C12).204D10 = Dic1519D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).204D10480,846
(C2×C12).205D10 = D309D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).205D10480,849
(C2×C12).206D10 = Dic1510Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).206D10480,852
(C2×C12).207D10 = C4⋊C4×D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).207D10480,856
(C2×C12).208D10 = C4⋊C47D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).208D10480,857
(C2×C12).209D10 = D6011C4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).209D10480,858
(C2×C12).210D10 = D305Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).210D10480,861
(C2×C12).211D10 = C3×C20.46D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).211D10480,101
(C2×C12).212D10 = C3×C4.12D20φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).212D10480,102
(C2×C12).213D10 = C3×C20.D4φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).213D10480,111
(C2×C12).214D10 = C3×C20.10D4φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).214D10480,114
(C2×C12).215D10 = (C2×C20).D6φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).215D10480,402
(C2×C12).216D10 = Dic151Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).216D10480,403
(C2×C12).217D10 = Dic15.2Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).217D10480,415
(C2×C12).218D10 = D6⋊C4.D5φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).218D10480,417
(C2×C12).219D10 = C4⋊Dic5⋊S3φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).219D10480,421
(C2×C12).220D10 = Dic3.2Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).220D10480,422
(C2×C12).221D10 = (C6×D5).D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).221D10480,483
(C2×C12).222D10 = Dic15⋊D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).222D10480,484
(C2×C12).223D10 = Dic3⋊D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).223D10480,485
(C2×C12).224D10 = D61Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).224D10480,486
(C2×C12).225D10 = D30⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).225D10480,487
(C2×C12).226D10 = D6.D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).226D10480,503
(C2×C12).227D10 = D304Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).227D10480,505
(C2×C12).228D10 = D64Dic10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).228D10480,512
(C2×C12).229D10 = D30.7D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).229D10480,514
(C2×C12).230D10 = C3×Dic5.14D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).230D10480,671
(C2×C12).231D10 = C3×C22.D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).231D10480,679
(C2×C12).232D10 = C3×C20⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).232D10480,681
(C2×C12).233D10 = C3×C4.Dic10φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).233D10480,683
(C2×C12).234D10 = C3×C4⋊D20φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).234D10480,688
(C2×C12).235D10 = C3×D10⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).235D10480,689
(C2×C12).236D10 = C3×D102Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).236D10480,690
(C2×C12).237D10 = C3×C8⋊D10φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).237D10480,701
(C2×C12).238D10 = C3×C8.D10φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).238D10480,702
(C2×C12).239D10 = C3×D4.D10φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).239D10480,725
(C2×C12).240D10 = C3×C23.18D10φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).240D10480,728
(C2×C12).241D10 = C3×Dic5⋊D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).241D10480,732
(C2×C12).242D10 = C3×C20.C23φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).242D10480,735
(C2×C12).243D10 = C3×Dic5⋊Q8φ: D10/C5C22 ⊆ Aut C2×C12480(C2xC12).243D10480,737
(C2×C12).244D10 = C3×D103Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).244D10480,739
(C2×C12).245D10 = C3×C20.23D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).245D10480,740
(C2×C12).246D10 = C3×D4⋊D10φ: D10/C5C22 ⊆ Aut C2×C121204(C2xC12).246D10480,742
(C2×C12).247D10 = C3×D4.9D10φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).247D10480,744
(C2×C12).248D10 = C4⋊C4⋊D15φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).248D10480,863
(C2×C12).249D10 = C23.22D30φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).249D10480,900
(C2×C12).250D10 = Dic1512D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).250D10480,904
(C2×C12).251D10 = D307Q8φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).251D10480,911
(C2×C12).252D10 = C60.23D4φ: D10/C5C22 ⊆ Aut C2×C12240(C2xC12).252D10480,912
(C2×C12).253D10 = C3×Q8.10D10φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).253D10480,1144
(C2×C12).254D10 = C3×D4.10D10φ: D10/C5C22 ⊆ Aut C2×C122404(C2xC12).254D10480,1147
(C2×C12).255D10 = Dic55Dic6φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).255D10480,399
(C2×C12).256D10 = Dic3⋊C4⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).256D10480,424
(C2×C12).257D10 = D10⋊Dic6φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).257D10480,425
(C2×C12).258D10 = Dic5.8D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).258D10480,426
(C2×C12).259D10 = C5⋊(C423S3)φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).259D10480,448
(C2×C12).260D10 = Dic5.7Dic6φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).260D10480,454
(C2×C12).261D10 = (C4×Dic5)⋊S3φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).261D10480,463
(C2×C12).262D10 = D5×Dic3⋊C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).262D10480,468
(C2×C12).263D10 = D6.(C4×D5)φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).263D10480,474
(C2×C12).264D10 = D30.C2⋊C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).264D10480,478
(C2×C12).265D10 = Dic54D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).265D10480,481
(C2×C12).266D10 = D6⋊(C4×D5)φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).266D10480,516
(C2×C12).267D10 = C1520(C4×D4)φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).267D10480,520
(C2×C12).268D10 = D6⋊C4⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).268D10480,523
(C2×C12).269D10 = D10⋊D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).269D10480,524
(C2×C12).270D10 = C3×C23.11D10φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).270D10480,670
(C2×C12).271D10 = C3×C23.D10φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).271D10480,672
(C2×C12).272D10 = C3×Dic54D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).272D10480,674
(C2×C12).273D10 = C3×D10.12D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).273D10480,676
(C2×C12).274D10 = C3×D10⋊D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).274D10480,677
(C2×C12).275D10 = C3×Dic5.5D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).275D10480,678
(C2×C12).276D10 = C3×Dic53Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).276D10480,680
(C2×C12).277D10 = C3×Dic5.Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).277D10480,682
(C2×C12).278D10 = C3×D5×C4⋊C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).278D10480,684
(C2×C12).279D10 = C3×C4⋊C47D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).279D10480,685
(C2×C12).280D10 = C3×D208C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).280D10480,686
(C2×C12).281D10 = C3×D10.13D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).281D10480,687
(C2×C12).282D10 = C3×C4⋊C4⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).282D10480,691
(C2×C12).283D10 = C10.D24φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).283D10480,43
(C2×C12).284D10 = D6015C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).284D10480,45
(C2×C12).285D10 = C10.Dic12φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).285D10480,49
(C2×C12).286D10 = Dic3015C4φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).286D10480,51
(C2×C12).287D10 = C60.7Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).287D10480,61
(C2×C12).288D10 = C60.8Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).288D10480,64
(C2×C12).289D10 = C2×C5⋊D24φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).289D10480,378
(C2×C12).290D10 = C2×D12.D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).290D10480,392
(C2×C12).291D10 = C2×Dic6⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).291D10480,393
(C2×C12).292D10 = C2×C5⋊Dic12φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).292D10480,396
(C2×C12).293D10 = Dic5×Dic6φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).293D10480,408
(C2×C12).294D10 = Dic3017C4φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).294D10480,409
(C2×C12).295D10 = (C4×D5)⋊Dic3φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).295D10480,434
(C2×C12).296D10 = C60.67D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).296D10480,435
(C2×C12).297D10 = C60.68D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).297D10480,436
(C2×C12).298D10 = C60.69D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).298D10480,449
(C2×C12).299D10 = C60.70D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).299D10480,451
(C2×C12).300D10 = Dic5⋊Dic6φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).300D10480,452
(C2×C12).301D10 = C20.Dic6φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).301D10480,464
(C2×C12).302D10 = D5×C4⋊Dic3φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).302D10480,488
(C2×C12).303D10 = Dic5×D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).303D10480,491
(C2×C12).304D10 = D6017C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).304D10480,494
(C2×C12).305D10 = C60⋊D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).305D10480,525
(C2×C12).306D10 = C127D20φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).306D10480,526
(C2×C12).307D10 = C20⋊D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).307D10480,527
(C2×C12).308D10 = C60⋊Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).308D10480,544
(C2×C12).309D10 = C2×D5×Dic6φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).309D10480,1073
(C2×C12).310D10 = C2×D125D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).310D10480,1084
(C2×C12).311D10 = C2×C12.28D10φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).311D10480,1085
(C2×C12).312D10 = C60.99D4φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).312D10480,55
(C2×C12).313D10 = D6016C4φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).313D10480,57
(C2×C12).314D10 = C60.105D4φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).314D10480,67
(C2×C12).315D10 = D5×C4.Dic3φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).315D10480,358
(C2×C12).316D10 = D12.2Dic5φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).316D10480,362
(C2×C12).317D10 = D60.5C4φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).317D10480,366
(C2×C12).318D10 = C20.60D12φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).318D10480,379
(C2×C12).319D10 = Dic5×C3⋊C8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).319D10480,25
(C2×C12).320D10 = Dic3×C52C8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).320D10480,26
(C2×C12).321D10 = Dic154C8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).321D10480,27
(C2×C12).322D10 = C30.21C42φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).322D10480,28
(C2×C12).323D10 = C30.22C42φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).323D10480,29
(C2×C12).324D10 = C30.23C42φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).324D10480,30
(C2×C12).325D10 = C60.93D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).325D10480,31
(C2×C12).326D10 = C60.94D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).326D10480,32
(C2×C12).327D10 = D304C8φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).327D10480,33
(C2×C12).328D10 = C60.13Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).328D10480,58
(C2×C12).329D10 = C60.14Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).329D10480,59
(C2×C12).330D10 = C60.15Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).330D10480,60
(C2×C12).331D10 = C2×D5×C3⋊C8φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).331D10480,357
(C2×C12).332D10 = C2×S3×C52C8φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).332D10480,361
(C2×C12).333D10 = C2×D152C8φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).333D10480,365
(C2×C12).334D10 = C2×C20.32D6φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).334D10480,369
(C2×C12).335D10 = C2×D6.Dic5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).335D10480,370
(C2×C12).336D10 = C2×D30.5C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).336D10480,371
(C2×C12).337D10 = (D5×C12)⋊C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).337D10480,433
(C2×C12).338D10 = (S3×C20)⋊7C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).338D10480,447
(C2×C12).339D10 = (C4×D15)⋊10C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).339D10480,462
(C2×C12).340D10 = C4×D5×Dic3φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).340D10480,467
(C2×C12).341D10 = C4×S3×Dic5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).341D10480,473
(C2×C12).342D10 = C4×D30.C2φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).342D10480,477
(C2×C12).343D10 = C4×C15⋊D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).343D10480,515
(C2×C12).344D10 = C4×C3⋊D20φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).344D10480,519
(C2×C12).345D10 = C4×C5⋊D12φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).345D10480,521
(C2×C12).346D10 = C4×C15⋊Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).346D10480,543
(C2×C12).347D10 = C2×D6.D10φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).347D10480,1083
(C2×C12).348D10 = C3×C10.D8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).348D10480,85
(C2×C12).349D10 = C3×C20.Q8φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).349D10480,86
(C2×C12).350D10 = C3×D206C4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).350D10480,87
(C2×C12).351D10 = C3×C10.Q16φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).351D10480,88
(C2×C12).352D10 = C3×C20.53D4φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).352D10480,100
(C2×C12).353D10 = C3×D207C4φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).353D10480,103
(C2×C12).354D10 = C3×D4⋊Dic5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).354D10480,110
(C2×C12).355D10 = C3×Q8⋊Dic5φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).355D10480,113
(C2×C12).356D10 = C3×D42Dic5φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).356D10480,115
(C2×C12).357D10 = C3×D5×M4(2)φ: D10/D5C2 ⊆ Aut C2×C121204(C2xC12).357D10480,699
(C2×C12).358D10 = C3×D20.2C4φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).358D10480,700
(C2×C12).359D10 = C6×D4⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).359D10480,724
(C2×C12).360D10 = C6×D4.D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).360D10480,726
(C2×C12).361D10 = C3×D4×Dic5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).361D10480,727
(C2×C12).362D10 = C3×C20.17D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).362D10480,729
(C2×C12).363D10 = C3×C202D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).363D10480,731
(C2×C12).364D10 = C3×C20⋊D4φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).364D10480,733
(C2×C12).365D10 = C6×Q8⋊D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).365D10480,734
(C2×C12).366D10 = C6×C5⋊Q16φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).366D10480,736
(C2×C12).367D10 = C3×Q8×Dic5φ: D10/D5C2 ⊆ Aut C2×C12480(C2xC12).367D10480,738
(C2×C12).368D10 = C3×D4.Dic5φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).368D10480,741
(C2×C12).369D10 = C3×D4.8D10φ: D10/D5C2 ⊆ Aut C2×C122404(C2xC12).369D10480,743
(C2×C12).370D10 = C6×D42D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).370D10480,1140
(C2×C12).371D10 = C6×Q8×D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).371D10480,1142
(C2×C12).372D10 = C6×Q82D5φ: D10/D5C2 ⊆ Aut C2×C12240(C2xC12).372D10480,1143
(C2×C12).373D10 = C3×C20.6Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).373D10480,663
(C2×C12).374D10 = C3×C42⋊D5φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).374D10480,665
(C2×C12).375D10 = C3×C4.D20φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).375D10480,668
(C2×C12).376D10 = C3×C422D5φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).376D10480,669
(C2×C12).377D10 = C6×C10.D4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).377D10480,716
(C2×C12).378D10 = C3×C23.23D10φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).378D10480,722
(C2×C12).379D10 = C422D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).379D10480,837
(C2×C12).380D10 = C423D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).380D10480,841
(C2×C12).381D10 = C2×C30.4Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).381D10480,888
(C2×C12).382D10 = C60.205D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).382D10480,889
(C2×C12).383D10 = C4×C157D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).383D10480,893
(C2×C12).384D10 = C23.28D30φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).384D10480,894
(C2×C12).385D10 = C6029D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).385D10480,895
(C2×C12).386D10 = Dic308C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).386D10480,176
(C2×C12).387D10 = C12010C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).387D10480,177
(C2×C12).388D10 = C1209C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).388D10480,178
(C2×C12).389D10 = D608C4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).389D10480,181
(C2×C12).390D10 = C4×Dic30φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).390D10480,833
(C2×C12).391D10 = C608Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).391D10480,834
(C2×C12).392D10 = C60.24Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).392D10480,835
(C2×C12).393D10 = C4×D60φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).393D10480,838
(C2×C12).394D10 = C426D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).394D10480,839
(C2×C12).395D10 = C427D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).395D10480,840
(C2×C12).396D10 = C2×C24⋊D5φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).396D10480,867
(C2×C12).397D10 = C2×D120φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).397D10480,868
(C2×C12).398D10 = C2×Dic60φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).398D10480,870
(C2×C12).399D10 = C2×C605C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).399D10480,890
(C2×C12).400D10 = C23.26D30φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).400D10480,891
(C2×C12).401D10 = C22×Dic30φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).401D10480,1165
(C2×C12).402D10 = D607C4φ: D10/C10C2 ⊆ Aut C2×C121202(C2xC12).402D10480,165
(C2×C12).403D10 = C4.18D60φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).403D10480,179
(C2×C12).404D10 = D60.6C4φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).404D10480,866
(C2×C12).405D10 = C40.69D6φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).405D10480,869
(C2×C12).406D10 = C4×C153C8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).406D10480,162
(C2×C12).407D10 = C42.D15φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).407D10480,163
(C2×C12).408D10 = C605C8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).408D10480,164
(C2×C12).409D10 = C8×Dic15φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).409D10480,173
(C2×C12).410D10 = C60.26Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).410D10480,174
(C2×C12).411D10 = C12013C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).411D10480,175
(C2×C12).412D10 = D303C8φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).412D10480,180
(C2×C12).413D10 = C60.212D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).413D10480,190
(C2×C12).414D10 = C42×D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).414D10480,836
(C2×C12).415D10 = C2×C8×D15φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).415D10480,864
(C2×C12).416D10 = C2×C40⋊S3φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).416D10480,865
(C2×C12).417D10 = C22×C153C8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).417D10480,885
(C2×C12).418D10 = C2×C60.7C4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).418D10480,886
(C2×C12).419D10 = C2×C4×Dic15φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).419D10480,887
(C2×C12).420D10 = C3×D204C4φ: D10/C10C2 ⊆ Aut C2×C121202(C2xC12).420D10480,83
(C2×C12).421D10 = C3×C20.44D4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).421D10480,94
(C2×C12).422D10 = C3×C406C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).422D10480,95
(C2×C12).423D10 = C3×C405C4φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).423D10480,96
(C2×C12).424D10 = C3×C40.6C4φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).424D10480,97
(C2×C12).425D10 = C3×D205C4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).425D10480,99
(C2×C12).426D10 = C3×C202Q8φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).426D10480,662
(C2×C12).427D10 = C3×C204D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).427D10480,667
(C2×C12).428D10 = C3×D20.3C4φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).428D10480,694
(C2×C12).429D10 = C6×C40⋊C2φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).429D10480,695
(C2×C12).430D10 = C6×D40φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).430D10480,696
(C2×C12).431D10 = C3×D407C2φ: D10/C10C2 ⊆ Aut C2×C122402(C2xC12).431D10480,697
(C2×C12).432D10 = C6×Dic20φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).432D10480,698
(C2×C12).433D10 = C6×C4.Dic5φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).433D10480,714
(C2×C12).434D10 = C3×C20.48D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).434D10480,717
(C2×C12).435D10 = C6×C4⋊Dic5φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).435D10480,718
(C2×C12).436D10 = C3×C207D4φ: D10/C10C2 ⊆ Aut C2×C12240(C2xC12).436D10480,723
(C2×C12).437D10 = C2×C6×Dic10φ: D10/C10C2 ⊆ Aut C2×C12480(C2xC12).437D10480,1135
(C2×C12).438D10 = C12×C52C8central extension (φ=1)480(C2xC12).438D10480,80
(C2×C12).439D10 = C3×C42.D5central extension (φ=1)480(C2xC12).439D10480,81
(C2×C12).440D10 = C3×C203C8central extension (φ=1)480(C2xC12).440D10480,82
(C2×C12).441D10 = Dic5×C24central extension (φ=1)480(C2xC12).441D10480,91
(C2×C12).442D10 = C3×C20.8Q8central extension (φ=1)480(C2xC12).442D10480,92
(C2×C12).443D10 = C3×C408C4central extension (φ=1)480(C2xC12).443D10480,93
(C2×C12).444D10 = C3×D101C8central extension (φ=1)240(C2xC12).444D10480,98
(C2×C12).445D10 = C3×C20.55D4central extension (φ=1)240(C2xC12).445D10480,108
(C2×C12).446D10 = C12×Dic10central extension (φ=1)480(C2xC12).446D10480,661
(C2×C12).447D10 = D5×C4×C12central extension (φ=1)240(C2xC12).447D10480,664
(C2×C12).448D10 = C12×D20central extension (φ=1)240(C2xC12).448D10480,666
(C2×C12).449D10 = D5×C2×C24central extension (φ=1)240(C2xC12).449D10480,692
(C2×C12).450D10 = C6×C8⋊D5central extension (φ=1)240(C2xC12).450D10480,693
(C2×C12).451D10 = C2×C6×C52C8central extension (φ=1)480(C2xC12).451D10480,713
(C2×C12).452D10 = Dic5×C2×C12central extension (φ=1)480(C2xC12).452D10480,715
(C2×C12).453D10 = C3×C23.21D10central extension (φ=1)240(C2xC12).453D10480,719
(C2×C12).454D10 = C12×C5⋊D4central extension (φ=1)240(C2xC12).454D10480,721

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