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Extensions 1→N→G→Q→1 with N=C22×C6 and Q=D10

Direct product G=N×Q with N=C22×C6 and Q=D10
dρLabelID
D5×C23×C6240D5xC2^3xC6480,1210

Semidirect products G=N:Q with N=C22×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C22×C6)⋊1D10 = C3×C23⋊D10φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):1D10480,730
(C22×C6)⋊2D10 = C3×D4⋊6D10φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6):2D10480,1141
(C22×C6)⋊3D10 = D30⋊8D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):3D10480,653
(C22×C6)⋊4D10 = D30⋊17D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):4D10480,902
(C22×C6)⋊5D10 = C2×S3×C5⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):5D10480,1123
(C22×C6)⋊6D10 = C2×D10⋊D6φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):6D10480,1124
(C22×C6)⋊7D10 = C15⋊2+ 1+4φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6):7D10480,1125
(C22×C6)⋊8D10 = C2×D4×D15φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6):8D10480,1169
(C22×C6)⋊9D10 = D4⋊6D30φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6):9D10480,1171
(C22×C6)⋊10D10 = C6×D4×D5φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6):10D10480,1139
(C22×C6)⋊11D10 = C2×D5×C3⋊D4φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6):11D10480,1122
(C22×C6)⋊12D10 = S3×C23×D5φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6):12D10480,1207
(C22×C6)⋊13D10 = C2×C6×C5⋊D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6):13D10480,1149
(C22×C6)⋊14D10 = C22×C15⋊7D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6):14D10480,1179
(C22×C6)⋊15D10 = C24×D15φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6):15D10480,1212

Non-split extensions G=N.Q with N=C22×C6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C22×C6).1D10 = C3×C23.1D10φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).1D10480,84
(C22×C6).2D10 = C3×C23⋊Dic5φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).2D10480,112
(C22×C6).3D10 = C3×C23.D10φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).3D10480,672
(C22×C6).4D10 = C3×D10.12D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).4D10480,676
(C22×C6).5D10 = C3×D10⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).5D10480,677
(C22×C6).6D10 = C3×Dic5.5D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).6D10480,678
(C22×C6).7D10 = C3×C23.18D10φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).7D10480,728
(C22×C6).8D10 = C3×C20.17D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).8D10480,729
(C22×C6).9D10 = C3×C20⋊2D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).9D10480,731
(C22×C6).10D10 = C3×Dic5⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).10D10480,732
(C22×C6).11D10 = C3×C20⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).11D10480,733
(C22×C6).12D10 = (C2×C6).D20φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).12D10480,71
(C22×C6).13D10 = C15⋊8(C23⋊C4)φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).13D10480,72
(C22×C6).14D10 = C15⋊9(C23⋊C4)φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).14D10480,73
(C22×C6).15D10 = C23.6D30φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).15D10480,166
(C22×C6).16D10 = C23.7D30φ: D10/C5 → C22 ⊆ Aut C22×C61204(C2^2xC6).16D10480,194
(C22×C6).17D10 = C23.D5⋊S3φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).17D10480,601
(C22×C6).18D10 = Dic15.19D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).18D10480,602
(C22×C6).19D10 = C23.26(S3×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).19D10480,605
(C22×C6).20D10 = C23.13(S3×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).20D10480,606
(C22×C6).21D10 = C23.14(S3×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).21D10480,607
(C22×C6).22D10 = C23.48(S3×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).22D10480,608
(C22×C6).23D10 = D30⋊6D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).23D10480,609
(C22×C6).24D10 = C6.(D4×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).24D10480,610
(C22×C6).25D10 = (C2×C30).D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).25D10480,612
(C22×C6).26D10 = C6.(C2×D20)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).26D10480,613
(C22×C6).27D10 = C10.(C2×D12)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).27D10480,618
(C22×C6).28D10 = (C2×C10).D12φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).28D10480,619
(C22×C6).29D10 = C23.17(S3×D5)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).29D10480,624
(C22×C6).30D10 = (C6×D5)⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).30D10480,625
(C22×C6).31D10 = Dic15⋊3D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).31D10480,626
(C22×C6).32D10 = Dic3×C5⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).32D10480,629
(C22×C6).33D10 = S3×C23.D5φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).33D10480,630
(C22×C6).34D10 = (S3×C10).D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).34D10480,631
(C22×C6).35D10 = C15⋊28(C4×D4)φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).35D10480,632
(C22×C6).36D10 = D30⋊7D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).36D10480,633
(C22×C6).37D10 = Dic15⋊4D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).37D10480,634
(C22×C6).38D10 = Dic15⋊16D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).38D10480,635
(C22×C6).39D10 = Dic15⋊17D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).39D10480,636
(C22×C6).40D10 = D30.45D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).40D10480,637
(C22×C6).41D10 = D30.16D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).41D10480,638
(C22×C6).42D10 = (S3×C10)⋊D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).42D10480,641
(C22×C6).43D10 = Dic15⋊5D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).43D10480,643
(C22×C6).44D10 = C15⋊C22≀C2φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).44D10480,644
(C22×C6).45D10 = (C2×C6)⋊D20φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).45D10480,645
(C22×C6).46D10 = (C2×C10)⋊11D12φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).46D10480,646
(C22×C6).47D10 = Dic15⋊18D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).47D10480,647
(C22×C6).48D10 = D30⋊18D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).48D10480,648
(C22×C6).49D10 = D30⋊19D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).49D10480,649
(C22×C6).50D10 = (C2×C10)⋊8Dic6φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).50D10480,651
(C22×C6).51D10 = Dic15.48D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).51D10480,652
(C22×C6).52D10 = C23.15D30φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).52D10480,842
(C22×C6).53D10 = C22⋊2Dic30φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).53D10480,843
(C22×C6).54D10 = C23.8D30φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).54D10480,844
(C22×C6).55D10 = C22⋊C4×D15φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).55D10480,845
(C22×C6).56D10 = Dic15⋊19D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).56D10480,846
(C22×C6).57D10 = D30⋊16D4φ: D10/C5 → C22 ⊆ Aut C22×C6120(C2^2xC6).57D10480,847
(C22×C6).58D10 = D30.28D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).58D10480,848
(C22×C6).59D10 = D30⋊9D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).59D10480,849
(C22×C6).60D10 = C23.11D30φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).60D10480,850
(C22×C6).61D10 = C22.D60φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).61D10480,851
(C22×C6).62D10 = D4×Dic15φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).62D10480,899
(C22×C6).63D10 = C23.22D30φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).63D10480,900
(C22×C6).64D10 = C60.17D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).64D10480,901
(C22×C6).65D10 = C60⋊2D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).65D10480,903
(C22×C6).66D10 = Dic15⋊12D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).66D10480,904
(C22×C6).67D10 = C60⋊3D4φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).67D10480,905
(C22×C6).68D10 = C2×Dic5.D6φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).68D10480,1113
(C22×C6).69D10 = C2×C30.C23φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).69D10480,1114
(C22×C6).70D10 = C2×D4⋊2D15φ: D10/C5 → C22 ⊆ Aut C22×C6240(C2^2xC6).70D10480,1170
(C22×C6).71D10 = C3×C23.11D10φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).71D10480,670
(C22×C6).72D10 = C3×Dic5.14D4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).72D10480,671
(C22×C6).73D10 = C3×D5×C22⋊C4φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6).73D10480,673
(C22×C6).74D10 = C3×Dic5⋊4D4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).74D10480,674
(C22×C6).75D10 = C3×C22⋊D20φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6).75D10480,675
(C22×C6).76D10 = C3×C22.D20φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).76D10480,679
(C22×C6).77D10 = C3×D4×Dic5φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).77D10480,727
(C22×C6).78D10 = C6×D4⋊2D5φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).78D10480,1140
(C22×C6).79D10 = C30.24C42φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).79D10480,70
(C22×C6).80D10 = C2×Dic3×Dic5φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).80D10480,603
(C22×C6).81D10 = (C6×Dic5)⋊7C4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).81D10480,604
(C22×C6).82D10 = C2×D10⋊Dic3φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).82D10480,611
(C22×C6).83D10 = C2×D6⋊Dic5φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).83D10480,614
(C22×C6).84D10 = C30.(C2×D4)φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).84D10480,615
(C22×C6).85D10 = C2×D30⋊4C4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).85D10480,616
(C22×C6).86D10 = C2×C30.Q8φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).86D10480,617
(C22×C6).87D10 = C2×Dic15⋊5C4φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).87D10480,620
(C22×C6).88D10 = C2×C6.Dic10φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).88D10480,621
(C22×C6).89D10 = C6.D4⋊D5φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).89D10480,622
(C22×C6).90D10 = D5×C6.D4φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6).90D10480,623
(C22×C6).91D10 = Dic5×C3⋊D4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).91D10480,627
(C22×C6).92D10 = C15⋊26(C4×D4)φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).92D10480,628
(C22×C6).93D10 = (C2×C30)⋊D4φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6).93D10480,639
(C22×C6).94D10 = (C2×C6)⋊8D20φ: D10/D5 → C2 ⊆ Aut C22×C6120(C2^2xC6).94D10480,640
(C22×C6).95D10 = (C2×C10)⋊4D12φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).95D10480,642
(C22×C6).96D10 = (C2×C30)⋊Q8φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).96D10480,650
(C22×C6).97D10 = C22×D5×Dic3φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).97D10480,1112
(C22×C6).98D10 = C22×S3×Dic5φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).98D10480,1115
(C22×C6).99D10 = C2×Dic3.D10φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).99D10480,1116
(C22×C6).100D10 = C22×D30.C2φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).100D10480,1117
(C22×C6).101D10 = C22×C15⋊D4φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).101D10480,1118
(C22×C6).102D10 = C22×C3⋊D20φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).102D10480,1119
(C22×C6).103D10 = C22×C5⋊D12φ: D10/D5 → C2 ⊆ Aut C22×C6240(C2^2xC6).103D10480,1120
(C22×C6).104D10 = C22×C15⋊Q8φ: D10/D5 → C2 ⊆ Aut C22×C6480(C2^2xC6).104D10480,1121
(C22×C6).105D10 = C3×C20.48D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).105D10480,717
(C22×C6).106D10 = C3×C23.21D10φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).106D10480,719
(C22×C6).107D10 = C12×C5⋊D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).107D10480,721
(C22×C6).108D10 = C3×C23.23D10φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).108D10480,722
(C22×C6).109D10 = C3×C20⋊7D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).109D10480,723
(C22×C6).110D10 = C3×C24⋊2D5φ: D10/C10 → C2 ⊆ Aut C22×C6120(C2^2xC6).110D10480,746
(C22×C6).111D10 = C6×C4○D20φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).111D10480,1138
(C22×C6).112D10 = C30.29C42φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).112D10480,191
(C22×C6).113D10 = C2×C4×Dic15φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).113D10480,887
(C22×C6).114D10 = C2×C30.4Q8φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).114D10480,888
(C22×C6).115D10 = C60.205D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).115D10480,889
(C22×C6).116D10 = C2×C60⋊5C4φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).116D10480,890
(C22×C6).117D10 = C23.26D30φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).117D10480,891
(C22×C6).118D10 = C2×D30⋊3C4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).118D10480,892
(C22×C6).119D10 = C4×C15⋊7D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).119D10480,893
(C22×C6).120D10 = C23.28D30φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).120D10480,894
(C22×C6).121D10 = C60⋊29D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).121D10480,895
(C22×C6).122D10 = C2×C30.38D4φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).122D10480,917
(C22×C6).123D10 = C24⋊5D15φ: D10/C10 → C2 ⊆ Aut C22×C6120(C2^2xC6).123D10480,918
(C22×C6).124D10 = C22×Dic30φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).124D10480,1165
(C22×C6).125D10 = C22×C4×D15φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).125D10480,1166
(C22×C6).126D10 = C22×D60φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).126D10480,1167
(C22×C6).127D10 = C2×D60⋊11C2φ: D10/C10 → C2 ⊆ Aut C22×C6240(C2^2xC6).127D10480,1168
(C22×C6).128D10 = C23×Dic15φ: D10/C10 → C2 ⊆ Aut C22×C6480(C2^2xC6).128D10480,1178
(C22×C6).129D10 = C3×C10.10C42central extension (φ=1)480(C2^2xC6).129D10480,109
(C22×C6).130D10 = Dic5×C2×C12central extension (φ=1)480(C2^2xC6).130D10480,715
(C22×C6).131D10 = C6×C10.D4central extension (φ=1)480(C2^2xC6).131D10480,716
(C22×C6).132D10 = C6×C4⋊Dic5central extension (φ=1)480(C2^2xC6).132D10480,718
(C22×C6).133D10 = C6×D10⋊C4central extension (φ=1)240(C2^2xC6).133D10480,720
(C22×C6).134D10 = C6×C23.D5central extension (φ=1)240(C2^2xC6).134D10480,745
(C22×C6).135D10 = C2×C6×Dic10central extension (φ=1)480(C2^2xC6).135D10480,1135
(C22×C6).136D10 = D5×C22×C12central extension (φ=1)240(C2^2xC6).136D10480,1136
(C22×C6).137D10 = C2×C6×D20central extension (φ=1)240(C2^2xC6).137D10480,1137
(C22×C6).138D10 = Dic5×C22×C6central extension (φ=1)480(C2^2xC6).138D10480,1148

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