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Extensions 1→N→G→Q→1 with N=C2×C30 and Q=D4

Direct product G=N×Q with N=C2×C30 and Q=D4
dρLabelID
D4×C2×C30240D4xC2xC30480,1181

Semidirect products G=N:Q with N=C2×C30 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C30)⋊1D4 = D30⋊16D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):1D4480,847
(C2×C30)⋊2D4 = D30⋊17D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):2D4480,902
(C2×C30)⋊3D4 = Dic15⋊12D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):3D4480,904
(C2×C30)⋊4D4 = (C2×C30)⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):4D4480,639
(C2×C30)⋊5D4 = (C2×C6)⋊8D20φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):5D4480,640
(C2×C30)⋊6D4 = (C2×C10)⋊4D12φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):6D4480,642
(C2×C30)⋊7D4 = C15⋊C22≀C2φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):7D4480,644
(C2×C30)⋊8D4 = (C2×C6)⋊D20φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):8D4480,645
(C2×C30)⋊9D4 = (C2×C10)⋊11D12φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):9D4480,646
(C2×C30)⋊10D4 = Dic15⋊18D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):10D4480,647
(C2×C30)⋊11D4 = D30⋊18D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):11D4480,648
(C2×C30)⋊12D4 = D30⋊19D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):12D4480,649
(C2×C30)⋊13D4 = C22×C15⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):13D4480,1118
(C2×C30)⋊14D4 = C22×C3⋊D20φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):14D4480,1119
(C2×C30)⋊15D4 = C22×C5⋊D12φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):15D4480,1120
(C2×C30)⋊16D4 = C3×C22⋊D20φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):16D4480,675
(C2×C30)⋊17D4 = C3×C23⋊D10φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):17D4480,730
(C2×C30)⋊18D4 = C3×Dic5⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):18D4480,732
(C2×C30)⋊19D4 = C5×D6⋊D4φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):19D4480,761
(C2×C30)⋊20D4 = C5×C23⋊2D6φ: D4/C2 → C22 ⊆ Aut C2×C30120(C2xC30):20D4480,816
(C2×C30)⋊21D4 = C5×C23.14D6φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30):21D4480,818
(C2×C30)⋊22D4 = C15×C4⋊D4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):22D4480,926
(C2×C30)⋊23D4 = C60⋊29D4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):23D4480,895
(C2×C30)⋊24D4 = C22×D60φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):24D4480,1167
(C2×C30)⋊25D4 = C3×C20⋊7D4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):25D4480,723
(C2×C30)⋊26D4 = C2×C6×D20φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):26D4480,1137
(C2×C30)⋊27D4 = C5×C12⋊7D4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):27D4480,809
(C2×C30)⋊28D4 = C2×C10×D12φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30):28D4480,1152
(C2×C30)⋊29D4 = C15×C22≀C2φ: D4/C22 → C2 ⊆ Aut C2×C30120(C2xC30):29D4480,925
(C2×C30)⋊30D4 = C24⋊5D15φ: D4/C22 → C2 ⊆ Aut C2×C30120(C2xC30):30D4480,918
(C2×C30)⋊31D4 = C22×C15⋊7D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30):31D4480,1179
(C2×C30)⋊32D4 = C3×C24⋊2D5φ: D4/C22 → C2 ⊆ Aut C2×C30120(C2xC30):32D4480,746
(C2×C30)⋊33D4 = C2×C6×C5⋊D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30):33D4480,1149
(C2×C30)⋊34D4 = C5×C24⋊4S3φ: D4/C22 → C2 ⊆ Aut C2×C30120(C2xC30):34D4480,832
(C2×C30)⋊35D4 = C2×C10×C3⋊D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30):35D4480,1164

Non-split extensions G=N.Q with N=C2×C30 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C2×C30).1D4 = D60⋊10C4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).1D4480,185
(C2×C30).2D4 = C23.7D30φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).2D4480,194
(C2×C30).3D4 = Q8⋊3Dic15φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).3D4480,197
(C2×C30).4D4 = C22.D60φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).4D4480,851
(C2×C30).5D4 = C8⋊D30φ: D4/C2 → C22 ⊆ Aut C2×C301204+(C2xC30).5D4480,873
(C2×C30).6D4 = C8.D30φ: D4/C2 → C22 ⊆ Aut C2×C302404-(C2xC30).6D4480,874
(C2×C30).7D4 = C23.22D30φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).7D4480,900
(C2×C30).8D4 = D4⋊D30φ: D4/C2 → C22 ⊆ Aut C2×C301204+(C2xC30).8D4480,914
(C2×C30).9D4 = D4.8D30φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).9D4480,915
(C2×C30).10D4 = D4.9D30φ: D4/C2 → C22 ⊆ Aut C2×C302404-(C2xC30).10D4480,916
(C2×C30).11D4 = C30.D8φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).11D4480,40
(C2×C30).12D4 = C6.D40φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).12D4480,41
(C2×C30).13D4 = D12⋊Dic5φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).13D4480,42
(C2×C30).14D4 = C10.D24φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).14D4480,43
(C2×C30).15D4 = D60⋊12C4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).15D4480,44
(C2×C30).16D4 = D60⋊15C4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).16D4480,45
(C2×C30).17D4 = C30.Q16φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).17D4480,46
(C2×C30).18D4 = C6.Dic20φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).18D4480,47
(C2×C30).19D4 = Dic6⋊Dic5φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).19D4480,48
(C2×C30).20D4 = C10.Dic12φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).20D4480,49
(C2×C30).21D4 = Dic30⋊12C4φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).21D4480,50
(C2×C30).22D4 = Dic30⋊15C4φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).22D4480,51
(C2×C30).23D4 = C60.96D4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).23D4480,52
(C2×C30).24D4 = C60.97D4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).24D4480,53
(C2×C30).25D4 = C60.98D4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).25D4480,54
(C2×C30).26D4 = C60.99D4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).26D4480,55
(C2×C30).27D4 = D60⋊13C4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).27D4480,56
(C2×C30).28D4 = D60⋊16C4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).28D4480,57
(C2×C30).29D4 = C60.7Q8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).29D4480,61
(C2×C30).30D4 = C30.SD16φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).30D4480,62
(C2×C30).31D4 = C60.Q8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).31D4480,63
(C2×C30).32D4 = C60.8Q8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).32D4480,64
(C2×C30).33D4 = C30.20D8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).33D4480,65
(C2×C30).34D4 = C60.5Q8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).34D4480,66
(C2×C30).35D4 = C30.24C42φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).35D4480,70
(C2×C30).36D4 = (C2×C6).D20φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).36D4480,71
(C2×C30).37D4 = C15⋊8(C23⋊C4)φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).37D4480,72
(C2×C30).38D4 = C15⋊9(C23⋊C4)φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).38D4480,73
(C2×C30).39D4 = C2×C15⋊D8φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).39D4480,372
(C2×C30).40D4 = D20.34D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).40D4480,373
(C2×C30).41D4 = C60.36D4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).41D4480,374
(C2×C30).42D4 = D20⋊21D6φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).42D4480,375
(C2×C30).43D4 = C2×C3⋊D40φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).43D4480,376
(C2×C30).44D4 = D20⋊19D6φ: D4/C2 → C22 ⊆ Aut C2×C301204+(C2xC30).44D4480,377
(C2×C30).45D4 = C2×C5⋊D24φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).45D4480,378
(C2×C30).46D4 = C20.60D12φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).46D4480,379
(C2×C30).47D4 = D60⋊36C22φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).47D4480,380
(C2×C30).48D4 = C60.38D4φ: D4/C2 → C22 ⊆ Aut C2×C301204+(C2xC30).48D4480,381
(C2×C30).49D4 = C2×C30.D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).49D4480,382
(C2×C30).50D4 = D20.37D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).50D4480,383
(C2×C30).51D4 = C2×C20.D6φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).51D4480,384
(C2×C30).52D4 = D12.37D10φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).52D4480,385
(C2×C30).53D4 = C2×C6.D20φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).53D4480,386
(C2×C30).54D4 = D20.31D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).54D4480,387
(C2×C30).55D4 = D60⋊30C22φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).55D4480,388
(C2×C30).56D4 = C60.63D4φ: D4/C2 → C22 ⊆ Aut C2×C302404-(C2xC30).56D4480,389
(C2×C30).57D4 = C2×C15⋊SD16φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).57D4480,390
(C2×C30).58D4 = C12.D20φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).58D4480,391
(C2×C30).59D4 = C2×D12.D5φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).59D4480,392
(C2×C30).60D4 = C2×Dic6⋊D5φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).60D4480,393
(C2×C30).61D4 = C2×C15⋊Q16φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).61D4480,394
(C2×C30).62D4 = C2×C3⋊Dic20φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).62D4480,395
(C2×C30).63D4 = C2×C5⋊Dic12φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).63D4480,396
(C2×C30).64D4 = C20.D12φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).64D4480,397
(C2×C30).65D4 = D12.33D10φ: D4/C2 → C22 ⊆ Aut C2×C302404-(C2xC30).65D4480,398
(C2×C30).66D4 = C2×D10⋊Dic3φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).66D4480,611
(C2×C30).67D4 = (C2×C30).D4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).67D4480,612
(C2×C30).68D4 = C6.(C2×D20)φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).68D4480,613
(C2×C30).69D4 = C2×D6⋊Dic5φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).69D4480,614
(C2×C30).70D4 = C30.(C2×D4)φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).70D4480,615
(C2×C30).71D4 = C2×D30⋊4C4φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).71D4480,616
(C2×C30).72D4 = C2×C30.Q8φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).72D4480,617
(C2×C30).73D4 = C10.(C2×D12)φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).73D4480,618
(C2×C30).74D4 = (C2×C10).D12φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).74D4480,619
(C2×C30).75D4 = C2×Dic15⋊5C4φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).75D4480,620
(C2×C30).76D4 = C2×C6.Dic10φ: D4/C2 → C22 ⊆ Aut C2×C30480(C2xC30).76D4480,621
(C2×C30).77D4 = C6.D4⋊D5φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).77D4480,622
(C2×C30).78D4 = C3×D20⋊7C4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).78D4480,103
(C2×C30).79D4 = C3×C23⋊Dic5φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).79D4480,112
(C2×C30).80D4 = C3×D4⋊2Dic5φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).80D4480,115
(C2×C30).81D4 = C3×C22.D20φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).81D4480,679
(C2×C30).82D4 = C3×C8⋊D10φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).82D4480,701
(C2×C30).83D4 = C3×C8.D10φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).83D4480,702
(C2×C30).84D4 = C3×C23.18D10φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).84D4480,728
(C2×C30).85D4 = C3×D4⋊D10φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).85D4480,742
(C2×C30).86D4 = C3×D4.8D10φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).86D4480,743
(C2×C30).87D4 = C3×D4.9D10φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).87D4480,744
(C2×C30).88D4 = C5×D12⋊C4φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).88D4480,144
(C2×C30).89D4 = C5×C23.7D6φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).89D4480,153
(C2×C30).90D4 = C5×Q8⋊3Dic3φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).90D4480,156
(C2×C30).91D4 = C5×C23.21D6φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).91D4480,765
(C2×C30).92D4 = C5×C8⋊D6φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).92D4480,787
(C2×C30).93D4 = C5×C8.D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).93D4480,788
(C2×C30).94D4 = C5×C23.23D6φ: D4/C2 → C22 ⊆ Aut C2×C30240(C2xC30).94D4480,814
(C2×C30).95D4 = C5×D4⋊D6φ: D4/C2 → C22 ⊆ Aut C2×C301204(C2xC30).95D4480,828
(C2×C30).96D4 = C5×Q8.13D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).96D4480,829
(C2×C30).97D4 = C5×Q8.14D6φ: D4/C2 → C22 ⊆ Aut C2×C302404(C2xC30).97D4480,830
(C2×C30).98D4 = C15×C4○D8φ: D4/C4 → C2 ⊆ Aut C2×C302402(C2xC30).98D4480,940
(C2×C30).99D4 = Dic30⋊8C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).99D4480,176
(C2×C30).100D4 = C120⋊10C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).100D4480,177
(C2×C30).101D4 = C120⋊9C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).101D4480,178
(C2×C30).102D4 = D60⋊8C4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).102D4480,181
(C2×C30).103D4 = C2×C24⋊D5φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).103D4480,867
(C2×C30).104D4 = C2×D120φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).104D4480,868
(C2×C30).105D4 = C40.69D6φ: D4/C4 → C2 ⊆ Aut C2×C302402(C2xC30).105D4480,869
(C2×C30).106D4 = C2×Dic60φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).106D4480,870
(C2×C30).107D4 = C2×C60⋊5C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).107D4480,890
(C2×C30).108D4 = C3×C20.44D4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).108D4480,94
(C2×C30).109D4 = C3×C40⋊6C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).109D4480,95
(C2×C30).110D4 = C3×C40⋊5C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).110D4480,96
(C2×C30).111D4 = C3×D20⋊5C4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).111D4480,99
(C2×C30).112D4 = C6×C40⋊C2φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).112D4480,695
(C2×C30).113D4 = C6×D40φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).113D4480,696
(C2×C30).114D4 = C3×D40⋊7C2φ: D4/C4 → C2 ⊆ Aut C2×C302402(C2xC30).114D4480,697
(C2×C30).115D4 = C6×Dic20φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).115D4480,698
(C2×C30).116D4 = C6×C4⋊Dic5φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).116D4480,718
(C2×C30).117D4 = C6×D10⋊C4φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).117D4480,720
(C2×C30).118D4 = C5×C2.Dic12φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).118D4480,135
(C2×C30).119D4 = C5×C8⋊Dic3φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).119D4480,136
(C2×C30).120D4 = C5×C24⋊1C4φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).120D4480,137
(C2×C30).121D4 = C5×C2.D24φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).121D4480,140
(C2×C30).122D4 = C5×C6.C42φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).122D4480,150
(C2×C30).123D4 = C10×C24⋊C2φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).123D4480,781
(C2×C30).124D4 = C10×D24φ: D4/C4 → C2 ⊆ Aut C2×C30240(C2xC30).124D4480,782
(C2×C30).125D4 = C5×C4○D24φ: D4/C4 → C2 ⊆ Aut C2×C302402(C2xC30).125D4480,783
(C2×C30).126D4 = C10×Dic12φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).126D4480,784
(C2×C30).127D4 = C10×C4⋊Dic3φ: D4/C4 → C2 ⊆ Aut C2×C30480(C2xC30).127D4480,804
(C2×C30).128D4 = C15×C23⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).128D4480,202
(C2×C30).129D4 = C15×C4≀C2φ: D4/C22 → C2 ⊆ Aut C2×C301202(C2xC30).129D4480,207
(C2×C30).130D4 = C15×C22.D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).130D4480,928
(C2×C30).131D4 = C15×C8⋊C22φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).131D4480,941
(C2×C30).132D4 = C15×C8.C22φ: D4/C22 → C2 ⊆ Aut C2×C302404(C2xC30).132D4480,942
(C2×C30).133D4 = D60⋊7C4φ: D4/C22 → C2 ⊆ Aut C2×C301202(C2xC30).133D4480,165
(C2×C30).134D4 = C23.6D30φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).134D4480,166
(C2×C30).135D4 = C60.1Q8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).135D4480,167
(C2×C30).136D4 = C60.2Q8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).136D4480,168
(C2×C30).137D4 = D60⋊9C4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).137D4480,169
(C2×C30).138D4 = Dic30⋊9C4φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).138D4480,170
(C2×C30).139D4 = C30.29C42φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).139D4480,191
(C2×C30).140D4 = D4⋊Dic15φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).140D4480,192
(C2×C30).141D4 = Q8⋊2Dic15φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).141D4480,195
(C2×C30).142D4 = C2×C30.4Q8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).142D4480,888
(C2×C30).143D4 = C2×D30⋊3C4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).143D4480,892
(C2×C30).144D4 = C23.28D30φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).144D4480,894
(C2×C30).145D4 = C2×D4⋊D15φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).145D4480,896
(C2×C30).146D4 = D4.D30φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).146D4480,897
(C2×C30).147D4 = C2×D4.D15φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).147D4480,898
(C2×C30).148D4 = C2×Q8⋊2D15φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).148D4480,906
(C2×C30).149D4 = Q8.11D30φ: D4/C22 → C2 ⊆ Aut C2×C302404(C2xC30).149D4480,907
(C2×C30).150D4 = C2×C15⋊7Q16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).150D4480,908
(C2×C30).151D4 = C2×C30.38D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).151D4480,917
(C2×C30).152D4 = C3×D20⋊4C4φ: D4/C22 → C2 ⊆ Aut C2×C301202(C2xC30).152D4480,83
(C2×C30).153D4 = C3×C23.1D10φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).153D4480,84
(C2×C30).154D4 = C3×C10.D8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).154D4480,85
(C2×C30).155D4 = C3×C20.Q8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).155D4480,86
(C2×C30).156D4 = C3×D20⋊6C4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).156D4480,87
(C2×C30).157D4 = C3×C10.Q16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).157D4480,88
(C2×C30).158D4 = C3×C10.10C42φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).158D4480,109
(C2×C30).159D4 = C3×D4⋊Dic5φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).159D4480,110
(C2×C30).160D4 = C3×Q8⋊Dic5φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).160D4480,113
(C2×C30).161D4 = C6×C10.D4φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).161D4480,716
(C2×C30).162D4 = C3×C23.23D10φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).162D4480,722
(C2×C30).163D4 = C6×D4⋊D5φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).163D4480,724
(C2×C30).164D4 = C3×D4.D10φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).164D4480,725
(C2×C30).165D4 = C6×D4.D5φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).165D4480,726
(C2×C30).166D4 = C6×Q8⋊D5φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).166D4480,734
(C2×C30).167D4 = C3×C20.C23φ: D4/C22 → C2 ⊆ Aut C2×C302404(C2xC30).167D4480,735
(C2×C30).168D4 = C6×C5⋊Q16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).168D4480,736
(C2×C30).169D4 = C6×C23.D5φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).169D4480,745
(C2×C30).170D4 = C5×C42⋊4S3φ: D4/C22 → C2 ⊆ Aut C2×C301202(C2xC30).170D4480,124
(C2×C30).171D4 = C5×C23.6D6φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).171D4480,125
(C2×C30).172D4 = C5×C6.Q16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).172D4480,126
(C2×C30).173D4 = C5×C12.Q8φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).173D4480,127
(C2×C30).174D4 = C5×C6.D8φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).174D4480,128
(C2×C30).175D4 = C5×C6.SD16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).175D4480,129
(C2×C30).176D4 = C5×D4⋊Dic3φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).176D4480,151
(C2×C30).177D4 = C5×Q8⋊2Dic3φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).177D4480,154
(C2×C30).178D4 = C10×Dic3⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).178D4480,802
(C2×C30).179D4 = C10×D6⋊C4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).179D4480,806
(C2×C30).180D4 = C5×C23.28D6φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).180D4480,808
(C2×C30).181D4 = C10×D4⋊S3φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).181D4480,810
(C2×C30).182D4 = C5×D12⋊6C22φ: D4/C22 → C2 ⊆ Aut C2×C301204(C2xC30).182D4480,811
(C2×C30).183D4 = C10×D4.S3φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).183D4480,812
(C2×C30).184D4 = C10×Q8⋊2S3φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).184D4480,820
(C2×C30).185D4 = C5×Q8.11D6φ: D4/C22 → C2 ⊆ Aut C2×C302404(C2xC30).185D4480,821
(C2×C30).186D4 = C10×C3⋊Q16φ: D4/C22 → C2 ⊆ Aut C2×C30480(C2xC30).186D4480,822
(C2×C30).187D4 = C10×C6.D4φ: D4/C22 → C2 ⊆ Aut C2×C30240(C2xC30).187D4480,831
(C2×C30).188D4 = C15×C2.C42central extension (φ=1)480(C2xC30).188D4480,198
(C2×C30).189D4 = C15×D4⋊C4central extension (φ=1)240(C2xC30).189D4480,205
(C2×C30).190D4 = C15×Q8⋊C4central extension (φ=1)480(C2xC30).190D4480,206
(C2×C30).191D4 = C15×C4.Q8central extension (φ=1)480(C2xC30).191D4480,209
(C2×C30).192D4 = C15×C2.D8central extension (φ=1)480(C2xC30).192D4480,210
(C2×C30).193D4 = C22⋊C4×C30central extension (φ=1)240(C2xC30).193D4480,920
(C2×C30).194D4 = C4⋊C4×C30central extension (φ=1)480(C2xC30).194D4480,921
(C2×C30).195D4 = D8×C30central extension (φ=1)240(C2xC30).195D4480,937
(C2×C30).196D4 = SD16×C30central extension (φ=1)240(C2xC30).196D4480,938
(C2×C30).197D4 = Q16×C30central extension (φ=1)480(C2xC30).197D4480,939

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