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Extensions 1→N→G→Q→1 with N=C2×C20 and Q=D6

Direct product G=N×Q with N=C2×C20 and Q=D6
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C2×C20 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C20)⋊1D6 = D6⋊4D20φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):1D6480,550
(C2×C20)⋊2D6 = D30⋊5D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):2D6480,552
(C2×C20)⋊3D6 = D30⋊16D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):3D6480,847
(C2×C20)⋊4D6 = C2×D5×D12φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):4D6480,1087
(C2×C20)⋊5D6 = C2×C20⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):5D6480,1089
(C2×C20)⋊6D6 = D5×C4○D12φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):6D6480,1090
(C2×C20)⋊7D6 = D20⋊24D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):7D6480,1092
(C2×C20)⋊8D6 = D20⋊25D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):8D6480,1093
(C2×C20)⋊9D6 = D20⋊26D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):9D6480,1094
(C2×C20)⋊10D6 = D20⋊29D6φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20):10D6480,1095
(C2×C20)⋊11D6 = C2×D4×D15φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):11D6480,1169
(C2×C20)⋊12D6 = D4⋊6D30φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):12D6480,1171
(C2×C20)⋊13D6 = C4○D4×D15φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):13D6480,1175
(C2×C20)⋊14D6 = D4⋊8D30φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20):14D6480,1176
(C2×C20)⋊15D6 = D5×D6⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):15D6480,547
(C2×C20)⋊16D6 = D30.27D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):16D6480,549
(C2×C20)⋊17D6 = C22⋊C4×D15φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):17D6480,845
(C2×C20)⋊18D6 = D30⋊4D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):18D6480,551
(C2×C20)⋊19D6 = C5×D6⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):19D6480,761
(C2×C20)⋊20D6 = C5×C23⋊2D6φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):20D6480,816
(C2×C20)⋊21D6 = D30⋊17D4φ: D6/C3 → C22 ⊆ Aut C2×C20120(C2xC20):21D6480,902
(C2×C20)⋊22D6 = C5×D4⋊6D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):22D6480,1156
(C2×C20)⋊23D6 = C5×D4○D12φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20):23D6480,1161
(C2×C20)⋊24D6 = S3×D10⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20120(C2xC20):24D6480,548
(C2×C20)⋊25D6 = C5×S3×C22⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20120(C2xC20):25D6480,759
(C2×C20)⋊26D6 = C2×S3×D20φ: D6/S3 → C2 ⊆ Aut C2×C20120(C2xC20):26D6480,1088
(C2×C20)⋊27D6 = S3×C4○D20φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20):27D6480,1091
(C2×C20)⋊28D6 = S3×C2×C4×D5φ: D6/S3 → C2 ⊆ Aut C2×C20120(C2xC20):28D6480,1086
(C2×C20)⋊29D6 = S3×D4×C10φ: D6/S3 → C2 ⊆ Aut C2×C20120(C2xC20):29D6480,1154
(C2×C20)⋊30D6 = C5×S3×C4○D4φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20):30D6480,1160
(C2×C20)⋊31D6 = C10×D6⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):31D6480,806
(C2×C20)⋊32D6 = C2×D30⋊3C4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):32D6480,892
(C2×C20)⋊33D6 = C22×D60φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):33D6480,1167
(C2×C20)⋊34D6 = C2×D60⋊11C2φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):34D6480,1168
(C2×C20)⋊35D6 = C22×C4×D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):35D6480,1166
(C2×C20)⋊36D6 = C2×C10×D12φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):36D6480,1152
(C2×C20)⋊37D6 = C10×C4○D12φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20):37D6480,1153

Non-split extensions G=N.Q with N=C2×C20 and Q=D6
extensionφ:Q→Aut NdρLabelID
(C2×C20).1D6 = (C2×C20).D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).1D6480,402
(C2×C20).2D6 = Dic15⋊1Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).2D6480,403
(C2×C20).3D6 = Dic3⋊Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).3D6480,404
(C2×C20).4D6 = Dic5.1Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).4D6480,410
(C2×C20).5D6 = Dic15.2Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).5D6480,415
(C2×C20).6D6 = D6⋊C4.D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).6D6480,417
(C2×C20).7D6 = C60⋊5C4⋊C2φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).7D6480,418
(C2×C20).8D6 = Dic3.Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).8D6480,419
(C2×C20).9D6 = C4⋊Dic5⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).9D6480,421
(C2×C20).10D6 = Dic3.2Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).10D6480,422
(C2×C20).11D6 = (C2×C60).C22φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).11D6480,438
(C2×C20).12D6 = (C6×D5).D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).12D6480,483
(C2×C20).13D6 = Dic15⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).13D6480,484
(C2×C20).14D6 = Dic3⋊D20φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).14D6480,485
(C2×C20).15D6 = D6⋊1Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).15D6480,486
(C2×C20).16D6 = D30⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).16D6480,487
(C2×C20).17D6 = D10.17D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).17D6480,490
(C2×C20).18D6 = D6⋊2Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).18D6480,493
(C2×C20).19D6 = D30⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).19D6480,496
(C2×C20).20D6 = D10⋊2Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).20D6480,498
(C2×C20).21D6 = D6.D20φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).21D6480,503
(C2×C20).22D6 = D30⋊4Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).22D6480,505
(C2×C20).23D6 = D10⋊4Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).23D6480,507
(C2×C20).24D6 = D6⋊3Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).24D6480,508
(C2×C20).25D6 = D30.6D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).25D6480,509
(C2×C20).26D6 = D6⋊4Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).26D6480,512
(C2×C20).27D6 = D30.7D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).27D6480,514
(C2×C20).28D6 = D6.9D20φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).28D6480,533
(C2×C20).29D6 = D30⋊2D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).29D6480,535
(C2×C20).30D6 = Dic15.10D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).30D6480,538
(C2×C20).31D6 = C22⋊2Dic30φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).31D6480,843
(C2×C20).32D6 = D30.28D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).32D6480,848
(C2×C20).33D6 = D30⋊9D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).33D6480,849
(C2×C20).34D6 = C23.11D30φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).34D6480,850
(C2×C20).35D6 = C22.D60φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).35D6480,851
(C2×C20).36D6 = C4⋊Dic30φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).36D6480,853
(C2×C20).37D6 = Dic15.3Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).37D6480,854
(C2×C20).38D6 = D30.29D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).38D6480,859
(C2×C20).39D6 = D30⋊5Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).39D6480,861
(C2×C20).40D6 = C60.28D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).40D6480,34
(C2×C20).41D6 = C20.5D12φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).41D6480,35
(C2×C20).42D6 = C60.29D4φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).42D6480,36
(C2×C20).43D6 = C12.6D20φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).43D6480,37
(C2×C20).44D6 = C60.54D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).44D6480,38
(C2×C20).45D6 = C60.31D4φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).45D6480,39
(C2×C20).46D6 = C30.D8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).46D6480,40
(C2×C20).47D6 = D12⋊Dic5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).47D6480,42
(C2×C20).48D6 = C10.D24φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).48D6480,43
(C2×C20).49D6 = D60⋊15C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).49D6480,45
(C2×C20).50D6 = C30.Q16φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).50D6480,46
(C2×C20).51D6 = Dic6⋊Dic5φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).51D6480,48
(C2×C20).52D6 = C10.Dic12φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).52D6480,49
(C2×C20).53D6 = Dic30⋊15C4φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).53D6480,51
(C2×C20).54D6 = C60.96D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).54D6480,52
(C2×C20).55D6 = C60.98D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).55D6480,54
(C2×C20).56D6 = C60.99D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).56D6480,55
(C2×C20).57D6 = D60⋊16C4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).57D6480,57
(C2×C20).58D6 = C60.7Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).58D6480,61
(C2×C20).59D6 = C30.SD16φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).59D6480,62
(C2×C20).60D6 = C60.8Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).60D6480,64
(C2×C20).61D6 = C30.20D8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).61D6480,65
(C2×C20).62D6 = C60.105D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).62D6480,67
(C2×C20).63D6 = C60.D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).63D6480,68
(C2×C20).64D6 = C60.1Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).64D6480,167
(C2×C20).65D6 = C60.2Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).65D6480,168
(C2×C20).66D6 = D60⋊9C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).66D6480,169
(C2×C20).67D6 = Dic30⋊9C4φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).67D6480,170
(C2×C20).68D6 = C60.210D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).68D6480,182
(C2×C20).69D6 = M4(2)⋊D15φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).69D6480,183
(C2×C20).70D6 = C4.D60φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).70D6480,184
(C2×C20).71D6 = D60⋊10C4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).71D6480,185
(C2×C20).72D6 = D4⋊Dic15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).72D6480,192
(C2×C20).73D6 = C60.8D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).73D6480,193
(C2×C20).74D6 = Q8⋊2Dic15φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).74D6480,195
(C2×C20).75D6 = C60.10D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).75D6480,196
(C2×C20).76D6 = Q8⋊3Dic15φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).76D6480,197
(C2×C20).77D6 = D5×C4.Dic3φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).77D6480,358
(C2×C20).78D6 = D20.2Dic3φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).78D6480,360
(C2×C20).79D6 = D12.2Dic5φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).79D6480,362
(C2×C20).80D6 = D12.Dic5φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).80D6480,364
(C2×C20).81D6 = D60.5C4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).81D6480,366
(C2×C20).82D6 = D15⋊4M4(2)φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).82D6480,368
(C2×C20).83D6 = C2×C15⋊D8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).83D6480,372
(C2×C20).84D6 = D20.34D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).84D6480,373
(C2×C20).85D6 = C60.36D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).85D6480,374
(C2×C20).86D6 = D20⋊21D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).86D6480,375
(C2×C20).87D6 = D20⋊19D6φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).87D6480,377
(C2×C20).88D6 = C2×C5⋊D24φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).88D6480,378
(C2×C20).89D6 = C20.60D12φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).89D6480,379
(C2×C20).90D6 = D60⋊36C22φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).90D6480,380
(C2×C20).91D6 = C60.38D4φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).91D6480,381
(C2×C20).92D6 = C2×C30.D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).92D6480,382
(C2×C20).93D6 = D20.37D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).93D6480,383
(C2×C20).94D6 = C2×C20.D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).94D6480,384
(C2×C20).95D6 = D12.37D10φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).95D6480,385
(C2×C20).96D6 = D60⋊30C22φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).96D6480,388
(C2×C20).97D6 = C60.63D4φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).97D6480,389
(C2×C20).98D6 = C12.D20φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).98D6480,391
(C2×C20).99D6 = C2×D12.D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).99D6480,392
(C2×C20).100D6 = C2×Dic6⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).100D6480,393
(C2×C20).101D6 = C2×C15⋊Q16φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).101D6480,394
(C2×C20).102D6 = C2×C5⋊Dic12φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).102D6480,396
(C2×C20).103D6 = C20.D12φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).103D6480,397
(C2×C20).104D6 = D12.33D10φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).104D6480,398
(C2×C20).105D6 = Dic15⋊6Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).105D6480,407
(C2×C20).106D6 = Dic5×Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).106D6480,408
(C2×C20).107D6 = Dic30⋊17C4φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).107D6480,409
(C2×C20).108D6 = Dic15⋊7Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).108D6480,420
(C2×C20).109D6 = (C4×D15)⋊8C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).109D6480,423
(C2×C20).110D6 = (C4×D5)⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).110D6480,434
(C2×C20).111D6 = C60.67D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).111D6480,435
(C2×C20).112D6 = C60.68D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).112D6480,436
(C2×C20).113D6 = C60.88D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).113D6480,444
(C2×C20).114D6 = C60.89D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).114D6480,446
(C2×C20).115D6 = C60.69D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).115D6480,449
(C2×C20).116D6 = C60.70D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).116D6480,451
(C2×C20).117D6 = Dic5⋊Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).117D6480,452
(C2×C20).118D6 = D30⋊9Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).118D6480,459
(C2×C20).119D6 = C12.Dic10φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).119D6480,460
(C2×C20).120D6 = Dic15⋊8Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).120D6480,461
(C2×C20).121D6 = C20.Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).121D6480,464
(C2×C20).122D6 = D30⋊10Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).122D6480,466
(C2×C20).123D6 = D5×C4⋊Dic3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).123D6480,488
(C2×C20).124D6 = Dic5×D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).124D6480,491
(C2×C20).125D6 = D60⋊17C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).125D6480,494
(C2×C20).126D6 = D20⋊8Dic3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).126D6480,510
(C2×C20).127D6 = Dic15⋊8D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).127D6480,511
(C2×C20).128D6 = D30.2Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).128D6480,513
(C2×C20).129D6 = C60⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).129D6480,525
(C2×C20).130D6 = C12⋊7D20φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).130D6480,526
(C2×C20).131D6 = C20⋊D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).131D6480,527
(C2×C20).132D6 = C60⋊10D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).132D6480,539
(C2×C20).133D6 = C12⋊2D20φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).133D6480,541
(C2×C20).134D6 = C20⋊2D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).134D6480,542
(C2×C20).135D6 = C60⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).135D6480,544
(C2×C20).136D6 = C20⋊Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).136D6480,546
(C2×C20).137D6 = C4.Dic30φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).137D6480,855
(C2×C20).138D6 = C4⋊D60φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).138D6480,860
(C2×C20).139D6 = D30⋊6Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).139D6480,862
(C2×C20).140D6 = M4(2)×D15φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).140D6480,871
(C2×C20).141D6 = D60.3C4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).141D6480,872
(C2×C20).142D6 = C8⋊D30φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).142D6480,873
(C2×C20).143D6 = C8.D30φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).143D6480,874
(C2×C20).144D6 = C2×D4⋊D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).144D6480,896
(C2×C20).145D6 = D4.D30φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).145D6480,897
(C2×C20).146D6 = C2×D4.D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).146D6480,898
(C2×C20).147D6 = D4×Dic15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).147D6480,899
(C2×C20).148D6 = C60.17D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).148D6480,901
(C2×C20).149D6 = C60⋊2D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).149D6480,903
(C2×C20).150D6 = C60⋊3D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).150D6480,905
(C2×C20).151D6 = C2×Q8⋊2D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).151D6480,906
(C2×C20).152D6 = Q8.11D30φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).152D6480,907
(C2×C20).153D6 = C2×C15⋊7Q16φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).153D6480,908
(C2×C20).154D6 = Q8×Dic15φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).154D6480,910
(C2×C20).155D6 = D30⋊7Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).155D6480,911
(C2×C20).156D6 = C60.23D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).156D6480,912
(C2×C20).157D6 = D4.Dic15φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).157D6480,913
(C2×C20).158D6 = D4⋊D30φ: D6/C3 → C22 ⊆ Aut C2×C201204+(C2xC20).158D6480,914
(C2×C20).159D6 = D4.8D30φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).159D6480,915
(C2×C20).160D6 = D4.9D30φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).160D6480,916
(C2×C20).161D6 = C2×D5×Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).161D6480,1073
(C2×C20).162D6 = C2×D20⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).162D6480,1075
(C2×C20).163D6 = D20.38D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).163D6480,1076
(C2×C20).164D6 = D20.39D6φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).164D6480,1077
(C2×C20).165D6 = C2×D12⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).165D6480,1079
(C2×C20).166D6 = C30.C24φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).166D6480,1080
(C2×C20).167D6 = C2×D15⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).167D6480,1082
(C2×C20).168D6 = C2×D12⋊5D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).168D6480,1084
(C2×C20).169D6 = C2×C12.28D10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).169D6480,1085
(C2×C20).170D6 = C2×D4⋊2D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).170D6480,1170
(C2×C20).171D6 = C2×Q8×D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).171D6480,1172
(C2×C20).172D6 = C2×Q8⋊3D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).172D6480,1173
(C2×C20).173D6 = Q8.15D30φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).173D6480,1174
(C2×C20).174D6 = D4.10D30φ: D6/C3 → C22 ⊆ Aut C2×C202404-(C2xC20).174D6480,1177
(C2×C20).175D6 = Dic5⋊5Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).175D6480,399
(C2×C20).176D6 = Dic15⋊5Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).176D6480,401
(C2×C20).177D6 = Dic3⋊C4⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).177D6480,424
(C2×C20).178D6 = D10⋊Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).178D6480,425
(C2×C20).179D6 = Dic5.8D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).179D6480,426
(C2×C20).180D6 = D30.34D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).180D6480,430
(C2×C20).181D6 = D30.35D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).181D6480,431
(C2×C20).182D6 = (C4×Dic15)⋊C2φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).182D6480,442
(C2×C20).183D6 = D6⋊Dic5.C2φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).183D6480,443
(C2×C20).184D6 = C5⋊(C42⋊3S3)φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).184D6480,448
(C2×C20).185D6 = D30⋊8Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).185D6480,453
(C2×C20).186D6 = Dic5.7Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).186D6480,454
(C2×C20).187D6 = Dic15.4Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).187D6480,458
(C2×C20).188D6 = (C4×Dic5)⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).188D6480,463
(C2×C20).189D6 = D5×Dic3⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).189D6480,468
(C2×C20).190D6 = D10.19(C4×S3)φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).190D6480,470
(C2×C20).191D6 = Dic15⋊13D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).191D6480,472
(C2×C20).192D6 = D6.(C4×D5)φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).192D6480,474
(C2×C20).193D6 = (S3×Dic5)⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).193D6480,476
(C2×C20).194D6 = D30.C2⋊C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).194D6480,478
(C2×C20).195D6 = D30.Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).195D6480,480
(C2×C20).196D6 = Dic5⋊4D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).196D6480,481
(C2×C20).197D6 = Dic15⋊14D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).197D6480,482
(C2×C20).198D6 = D6⋊(C4×D5)φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).198D6480,516
(C2×C20).199D6 = Dic15⋊9D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).199D6480,518
(C2×C20).200D6 = C15⋊20(C4×D4)φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).200D6480,520
(C2×C20).201D6 = D6⋊C4⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).201D6480,523
(C2×C20).202D6 = D10⋊D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).202D6480,524
(C2×C20).203D6 = D30⋊12D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).203D6480,537
(C2×C20).204D6 = Dic15.31D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).204D6480,540
(C2×C20).205D6 = C23.15D30φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).205D6480,842
(C2×C20).206D6 = C23.8D30φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).206D6480,844
(C2×C20).207D6 = Dic15⋊19D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).207D6480,846
(C2×C20).208D6 = Dic15⋊10Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).208D6480,852
(C2×C20).209D6 = C4⋊C4×D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).209D6480,856
(C2×C20).210D6 = C4⋊C4⋊7D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).210D6480,857
(C2×C20).211D6 = D60⋊11C4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).211D6480,858
(C2×C20).212D6 = C4⋊C4⋊D15φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).212D6480,863
(C2×C20).213D6 = C5×C12.46D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).213D6480,142
(C2×C20).214D6 = C5×C12.47D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).214D6480,143
(C2×C20).215D6 = C5×C12.D4φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).215D6480,152
(C2×C20).216D6 = C5×C12.10D4φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).216D6480,155
(C2×C20).217D6 = Dic15⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).217D6480,405
(C2×C20).218D6 = Dic5.2Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).218D6480,411
(C2×C20).219D6 = Dic15.Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).219D6480,412
(C2×C20).220D6 = C4⋊Dic3⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).220D6480,413
(C2×C20).221D6 = D30.D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).221D6480,432
(C2×C20).222D6 = (C2×C12).D10φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).222D6480,437
(C2×C20).223D6 = D10.16D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).223D6480,489
(C2×C20).224D6 = Dic5⋊D12φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).224D6480,492
(C2×C20).225D6 = D30⋊2Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).225D6480,495
(C2×C20).226D6 = D10⋊1Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).226D6480,497
(C2×C20).227D6 = (C2×D12).D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).227D6480,499
(C2×C20).228D6 = D30⋊3Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).228D6480,500
(C2×C20).229D6 = Dic15.D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).229D6480,506
(C2×C20).230D6 = Dic15⋊2D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).230D6480,529
(C2×C20).231D6 = (C2×Dic6)⋊D5φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).231D6480,531
(C2×C20).232D6 = C5×Dic3.D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).232D6480,757
(C2×C20).233D6 = C5×C23.8D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).233D6480,758
(C2×C20).234D6 = C5×Dic3⋊D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).234D6480,763
(C2×C20).235D6 = C5×C23.21D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).235D6480,765
(C2×C20).236D6 = C5×C12⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).236D6480,767
(C2×C20).237D6 = C5×C4.Dic6φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).237D6480,769
(C2×C20).238D6 = C5×D6⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).238D6480,775
(C2×C20).239D6 = C5×C4⋊C4⋊S3φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).239D6480,777
(C2×C20).240D6 = C5×C8⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).240D6480,787
(C2×C20).241D6 = C5×C8.D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).241D6480,788
(C2×C20).242D6 = C5×D12⋊6C22φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).242D6480,811
(C2×C20).243D6 = C5×C23.23D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).243D6480,814
(C2×C20).244D6 = C5×C23.14D6φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).244D6480,818
(C2×C20).245D6 = C5×Q8.11D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).245D6480,821
(C2×C20).246D6 = C5×Dic3⋊Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).246D6480,823
(C2×C20).247D6 = C5×C12.23D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).247D6480,826
(C2×C20).248D6 = C5×D4⋊D6φ: D6/C3 → C22 ⊆ Aut C2×C201204(C2xC20).248D6480,828
(C2×C20).249D6 = C5×Q8.14D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).249D6480,830
(C2×C20).250D6 = C23.22D30φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).250D6480,900
(C2×C20).251D6 = Dic15⋊12D4φ: D6/C3 → C22 ⊆ Aut C2×C20240(C2xC20).251D6480,904
(C2×C20).252D6 = Dic15⋊4Q8φ: D6/C3 → C22 ⊆ Aut C2×C20480(C2xC20).252D6480,909
(C2×C20).253D6 = C5×Q8.15D6φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).253D6480,1159
(C2×C20).254D6 = C5×Q8○D12φ: D6/C3 → C22 ⊆ Aut C2×C202404(C2xC20).254D6480,1162
(C2×C20).255D6 = Dic3⋊5Dic10φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).255D6480,400
(C2×C20).256D6 = D6⋊Dic5⋊C2φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).256D6480,427
(C2×C20).257D6 = D6⋊Dic10φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).257D6480,428
(C2×C20).258D6 = Dic3.D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).258D6480,429
(C2×C20).259D6 = (C4×Dic3)⋊D5φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).259D6480,439
(C2×C20).260D6 = Dic3.3Dic10φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).260D6480,455
(C2×C20).261D6 = C10.D4⋊S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).261D6480,456
(C2×C20).262D6 = (D5×Dic3)⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).262D6480,469
(C2×C20).263D6 = Dic3⋊4D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).263D6480,471
(C2×C20).264D6 = S3×C10.D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).264D6480,475
(C2×C20).265D6 = D30.23(C2×C4)φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).265D6480,479
(C2×C20).266D6 = C15⋊17(C4×D4)φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).266D6480,517
(C2×C20).267D6 = C15⋊22(C4×D4)φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).267D6480,522
(C2×C20).268D6 = D10⋊C4⋊S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).268D6480,528
(C2×C20).269D6 = D6⋊D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).269D6480,530
(C2×C20).270D6 = C5×C23.16D6φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).270D6480,756
(C2×C20).271D6 = C5×Dic3⋊4D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).271D6480,760
(C2×C20).272D6 = C5×C23.9D6φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).272D6480,762
(C2×C20).273D6 = C5×C23.11D6φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).273D6480,764
(C2×C20).274D6 = C5×Dic3.Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).274D6480,768
(C2×C20).275D6 = C5×S3×C4⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).275D6480,770
(C2×C20).276D6 = C5×C4⋊C4⋊7S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).276D6480,771
(C2×C20).277D6 = C5×Dic3⋊5D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).277D6480,772
(C2×C20).278D6 = C5×D6.D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).278D6480,773
(C2×C20).279D6 = C6.D40φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).279D6480,41
(C2×C20).280D6 = D60⋊12C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).280D6480,44
(C2×C20).281D6 = C6.Dic20φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).281D6480,47
(C2×C20).282D6 = Dic30⋊12C4φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).282D6480,50
(C2×C20).283D6 = C60.Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).283D6480,63
(C2×C20).284D6 = C60.5Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).284D6480,66
(C2×C20).285D6 = C2×C3⋊D40φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).285D6480,376
(C2×C20).286D6 = C2×C6.D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).286D6480,386
(C2×C20).287D6 = C2×C15⋊SD16φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).287D6480,390
(C2×C20).288D6 = C2×C3⋊Dic20φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).288D6480,395
(C2×C20).289D6 = Dic3×Dic10φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).289D6480,406
(C2×C20).290D6 = (S3×C20)⋊5C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).290D6480,414
(C2×C20).291D6 = Dic30⋊14C4φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).291D6480,416
(C2×C20).292D6 = C60.44D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).292D6480,440
(C2×C20).293D6 = C60.45D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).293D6480,441
(C2×C20).294D6 = C60.46D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).294D6480,445
(C2×C20).295D6 = C60.47D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).295D6480,450
(C2×C20).296D6 = C60.6Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).296D6480,457
(C2×C20).297D6 = C60.48D4φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).297D6480,465
(C2×C20).298D6 = Dic3×D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).298D6480,501
(C2×C20).299D6 = S3×C4⋊Dic5φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).299D6480,502
(C2×C20).300D6 = D60⋊14C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).300D6480,504
(C2×C20).301D6 = C60⋊4D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).301D6480,532
(C2×C20).302D6 = C12⋊D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).302D6480,534
(C2×C20).303D6 = C60⋊6D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).303D6480,536
(C2×C20).304D6 = C20⋊4Dic6φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).304D6480,545
(C2×C20).305D6 = C2×D20⋊5S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).305D6480,1074
(C2×C20).306D6 = C2×S3×Dic10φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).306D6480,1078
(C2×C20).307D6 = C2×D60⋊C2φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).307D6480,1081
(C2×C20).308D6 = C60.97D4φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).308D6480,53
(C2×C20).309D6 = D60⋊13C4φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).309D6480,56
(C2×C20).310D6 = C12.59D20φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).310D6480,69
(C2×C20).311D6 = D20.3Dic3φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).311D6480,359
(C2×C20).312D6 = S3×C4.Dic5φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).312D6480,363
(C2×C20).313D6 = D60.4C4φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).313D6480,367
(C2×C20).314D6 = D20.31D6φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).314D6480,387
(C2×C20).315D6 = Dic5×C3⋊C8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).315D6480,25
(C2×C20).316D6 = Dic3×C5⋊2C8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).316D6480,26
(C2×C20).317D6 = Dic15⋊4C8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).317D6480,27
(C2×C20).318D6 = C30.21C42φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).318D6480,28
(C2×C20).319D6 = C30.22C42φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).319D6480,29
(C2×C20).320D6 = C30.23C42φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).320D6480,30
(C2×C20).321D6 = C60.93D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).321D6480,31
(C2×C20).322D6 = C60.94D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).322D6480,32
(C2×C20).323D6 = D30⋊4C8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).323D6480,33
(C2×C20).324D6 = C60.13Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).324D6480,58
(C2×C20).325D6 = C60.14Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).325D6480,59
(C2×C20).326D6 = C60.15Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).326D6480,60
(C2×C20).327D6 = C2×D5×C3⋊C8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).327D6480,357
(C2×C20).328D6 = C2×S3×C5⋊2C8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).328D6480,361
(C2×C20).329D6 = C2×D15⋊2C8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).329D6480,365
(C2×C20).330D6 = C2×C20.32D6φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).330D6480,369
(C2×C20).331D6 = C2×D6.Dic5φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).331D6480,370
(C2×C20).332D6 = C2×D30.5C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).332D6480,371
(C2×C20).333D6 = (D5×C12)⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).333D6480,433
(C2×C20).334D6 = (S3×C20)⋊7C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).334D6480,447
(C2×C20).335D6 = (C4×D15)⋊10C4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).335D6480,462
(C2×C20).336D6 = C4×D5×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).336D6480,467
(C2×C20).337D6 = C4×S3×Dic5φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).337D6480,473
(C2×C20).338D6 = C4×D30.C2φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).338D6480,477
(C2×C20).339D6 = C4×C15⋊D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).339D6480,515
(C2×C20).340D6 = C4×C3⋊D20φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).340D6480,519
(C2×C20).341D6 = C4×C5⋊D12φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).341D6480,521
(C2×C20).342D6 = C4×C15⋊Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).342D6480,543
(C2×C20).343D6 = C2×D6.D10φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).343D6480,1083
(C2×C20).344D6 = C5×C6.Q16φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).344D6480,126
(C2×C20).345D6 = C5×C12.Q8φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).345D6480,127
(C2×C20).346D6 = C5×C6.D8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).346D6480,128
(C2×C20).347D6 = C5×C6.SD16φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).347D6480,129
(C2×C20).348D6 = C5×C12.53D4φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).348D6480,141
(C2×C20).349D6 = C5×D12⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).349D6480,144
(C2×C20).350D6 = C5×D4⋊Dic3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).350D6480,151
(C2×C20).351D6 = C5×Q8⋊2Dic3φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).351D6480,154
(C2×C20).352D6 = C5×Q8⋊3Dic3φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).352D6480,156
(C2×C20).353D6 = C5×Dic6⋊C4φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).353D6480,766
(C2×C20).354D6 = C5×C12⋊D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).354D6480,774
(C2×C20).355D6 = C5×C4.D12φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).355D6480,776
(C2×C20).356D6 = C5×S3×M4(2)φ: D6/S3 → C2 ⊆ Aut C2×C201204(C2xC20).356D6480,785
(C2×C20).357D6 = C5×D12.C4φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).357D6480,786
(C2×C20).358D6 = C10×D4⋊S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).358D6480,810
(C2×C20).359D6 = C10×D4.S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).359D6480,812
(C2×C20).360D6 = C5×D4×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).360D6480,813
(C2×C20).361D6 = C5×C23.12D6φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).361D6480,815
(C2×C20).362D6 = C5×D6⋊3D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).362D6480,817
(C2×C20).363D6 = C5×C12⋊3D4φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).363D6480,819
(C2×C20).364D6 = C10×Q8⋊2S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).364D6480,820
(C2×C20).365D6 = C10×C3⋊Q16φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).365D6480,822
(C2×C20).366D6 = C5×Q8×Dic3φ: D6/S3 → C2 ⊆ Aut C2×C20480(C2xC20).366D6480,824
(C2×C20).367D6 = C5×D6⋊3Q8φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).367D6480,825
(C2×C20).368D6 = C5×D4.Dic3φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).368D6480,827
(C2×C20).369D6 = C5×Q8.13D6φ: D6/S3 → C2 ⊆ Aut C2×C202404(C2xC20).369D6480,829
(C2×C20).370D6 = C10×D4⋊2S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).370D6480,1155
(C2×C20).371D6 = S3×Q8×C10φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).371D6480,1157
(C2×C20).372D6 = C10×Q8⋊3S3φ: D6/S3 → C2 ⊆ Aut C2×C20240(C2xC20).372D6480,1158
(C2×C20).373D6 = C5×C42⋊2S3φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).373D6480,751
(C2×C20).374D6 = C5×C42⋊3S3φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).374D6480,755
(C2×C20).375D6 = C10×Dic3⋊C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).375D6480,802
(C2×C20).376D6 = C20×C3⋊D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).376D6480,807
(C2×C20).377D6 = C5×C23.28D6φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).377D6480,808
(C2×C20).378D6 = C60.24Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).378D6480,835
(C2×C20).379D6 = C42⋊2D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).379D6480,837
(C2×C20).380D6 = C42⋊7D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).380D6480,840
(C2×C20).381D6 = C42⋊3D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).381D6480,841
(C2×C20).382D6 = C2×C30.4Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).382D6480,888
(C2×C20).383D6 = C23.28D30φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).383D6480,894
(C2×C20).384D6 = Dic30⋊8C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).384D6480,176
(C2×C20).385D6 = C120⋊10C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).385D6480,177
(C2×C20).386D6 = C120⋊9C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).386D6480,178
(C2×C20).387D6 = D60⋊8C4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).387D6480,181
(C2×C20).388D6 = C60⋊8Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).388D6480,834
(C2×C20).389D6 = C42⋊6D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).389D6480,839
(C2×C20).390D6 = C2×C24⋊D5φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).390D6480,867
(C2×C20).391D6 = C2×D120φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).391D6480,868
(C2×C20).392D6 = C2×Dic60φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).392D6480,870
(C2×C20).393D6 = C60.205D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).393D6480,889
(C2×C20).394D6 = C2×C60⋊5C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).394D6480,890
(C2×C20).395D6 = C60⋊29D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).395D6480,895
(C2×C20).396D6 = C22×Dic30φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).396D6480,1165
(C2×C20).397D6 = D60⋊7C4φ: D6/C6 → C2 ⊆ Aut C2×C201202(C2xC20).397D6480,165
(C2×C20).398D6 = C4.18D60φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).398D6480,179
(C2×C20).399D6 = D60.6C4φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).399D6480,866
(C2×C20).400D6 = C40.69D6φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).400D6480,869
(C2×C20).401D6 = C2×C60.7C4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).401D6480,886
(C2×C20).402D6 = C4×C15⋊3C8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).402D6480,162
(C2×C20).403D6 = C42.D15φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).403D6480,163
(C2×C20).404D6 = C60⋊5C8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).404D6480,164
(C2×C20).405D6 = C8×Dic15φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).405D6480,173
(C2×C20).406D6 = C60.26Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).406D6480,174
(C2×C20).407D6 = C120⋊13C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).407D6480,175
(C2×C20).408D6 = D30⋊3C8φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).408D6480,180
(C2×C20).409D6 = C60.212D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).409D6480,190
(C2×C20).410D6 = C4×Dic30φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).410D6480,833
(C2×C20).411D6 = C42×D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).411D6480,836
(C2×C20).412D6 = C4×D60φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).412D6480,838
(C2×C20).413D6 = C2×C8×D15φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).413D6480,864
(C2×C20).414D6 = C2×C40⋊S3φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).414D6480,865
(C2×C20).415D6 = C22×C15⋊3C8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).415D6480,885
(C2×C20).416D6 = C2×C4×Dic15φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).416D6480,887
(C2×C20).417D6 = C23.26D30φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).417D6480,891
(C2×C20).418D6 = C4×C15⋊7D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).418D6480,893
(C2×C20).419D6 = C5×C42⋊4S3φ: D6/C6 → C2 ⊆ Aut C2×C201202(C2xC20).419D6480,124
(C2×C20).420D6 = C5×C2.Dic12φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).420D6480,135
(C2×C20).421D6 = C5×C8⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).421D6480,136
(C2×C20).422D6 = C5×C24⋊1C4φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).422D6480,137
(C2×C20).423D6 = C5×C24.C4φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).423D6480,138
(C2×C20).424D6 = C5×C2.D24φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).424D6480,140
(C2×C20).425D6 = C20×Dic6φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).425D6480,747
(C2×C20).426D6 = C5×C12⋊2Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).426D6480,748
(C2×C20).427D6 = C5×C12.6Q8φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).427D6480,749
(C2×C20).428D6 = C20×D12φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).428D6480,752
(C2×C20).429D6 = C5×C4⋊D12φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).429D6480,753
(C2×C20).430D6 = C5×C42⋊7S3φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).430D6480,754
(C2×C20).431D6 = C5×C8○D12φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).431D6480,780
(C2×C20).432D6 = C10×C24⋊C2φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).432D6480,781
(C2×C20).433D6 = C10×D24φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).433D6480,782
(C2×C20).434D6 = C5×C4○D24φ: D6/C6 → C2 ⊆ Aut C2×C202402(C2xC20).434D6480,783
(C2×C20).435D6 = C10×Dic12φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).435D6480,784
(C2×C20).436D6 = C10×C4.Dic3φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).436D6480,800
(C2×C20).437D6 = C5×C12.48D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).437D6480,803
(C2×C20).438D6 = C10×C4⋊Dic3φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).438D6480,804
(C2×C20).439D6 = C5×C23.26D6φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).439D6480,805
(C2×C20).440D6 = C5×C12⋊7D4φ: D6/C6 → C2 ⊆ Aut C2×C20240(C2xC20).440D6480,809
(C2×C20).441D6 = C2×C10×Dic6φ: D6/C6 → C2 ⊆ Aut C2×C20480(C2xC20).441D6480,1150
(C2×C20).442D6 = C20×C3⋊C8central extension (φ=1)480(C2xC20).442D6480,121
(C2×C20).443D6 = C5×C42.S3central extension (φ=1)480(C2xC20).443D6480,122
(C2×C20).444D6 = C5×C12⋊C8central extension (φ=1)480(C2xC20).444D6480,123
(C2×C20).445D6 = Dic3×C40central extension (φ=1)480(C2xC20).445D6480,132
(C2×C20).446D6 = C5×Dic3⋊C8central extension (φ=1)480(C2xC20).446D6480,133
(C2×C20).447D6 = C5×C24⋊C4central extension (φ=1)480(C2xC20).447D6480,134
(C2×C20).448D6 = C5×D6⋊C8central extension (φ=1)240(C2xC20).448D6480,139
(C2×C20).449D6 = C5×C12.55D4central extension (φ=1)240(C2xC20).449D6480,149
(C2×C20).450D6 = S3×C4×C20central extension (φ=1)240(C2xC20).450D6480,750
(C2×C20).451D6 = S3×C2×C40central extension (φ=1)240(C2xC20).451D6480,778
(C2×C20).452D6 = C10×C8⋊S3central extension (φ=1)240(C2xC20).452D6480,779
(C2×C20).453D6 = C2×C10×C3⋊C8central extension (φ=1)480(C2xC20).453D6480,799
(C2×C20).454D6 = Dic3×C2×C20central extension (φ=1)480(C2xC20).454D6480,801

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