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Extensions 1→N→G→Q→1 with N=C22×D5 and Q=D6

Direct product G=N×Q with N=C22×D5 and Q=D6
dρLabelID
S3×C23×D5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=C22×D5 and Q=D6
extensionφ:Q→Out NdρLabelID
(C22×D5)⋊D6 = C2×D5×S4φ: D6/C2 → S3 ⊆ Out C22×D5306+(C2^2xD5):D6480,1193
(C22×D5)⋊2D6 = D6⋊4D20φ: D6/C3 → C22 ⊆ Out C22×D5120(C2^2xD5):2D6480,550
(C22×D5)⋊3D6 = C15⋊C22≀C2φ: D6/C3 → C22 ⊆ Out C22×D5120(C2^2xD5):3D6480,644
(C22×D5)⋊4D6 = D30⋊18D4φ: D6/C3 → C22 ⊆ Out C22×D5120(C2^2xD5):4D6480,648
(C22×D5)⋊5D6 = D20⋊25D6φ: D6/C3 → C22 ⊆ Out C22×D51204(C2^2xD5):5D6480,1093
(C22×D5)⋊6D6 = D20⋊13D6φ: D6/C3 → C22 ⊆ Out C22×D51208-(C2^2xD5):6D6480,1101
(C22×D5)⋊7D6 = D20⋊14D6φ: D6/C3 → C22 ⊆ Out C22×D51208+(C2^2xD5):7D6480,1102
(C22×D5)⋊8D6 = C15⋊2+ 1+4φ: D6/C3 → C22 ⊆ Out C22×D51204(C2^2xD5):8D6480,1125
(C22×D5)⋊9D6 = C2×S3×D20φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5):9D6480,1088
(C22×D5)⋊10D6 = C2×C20⋊D6φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5):10D6480,1089
(C22×D5)⋊11D6 = S3×D4×D5φ: D6/S3 → C2 ⊆ Out C22×D5608+(C2^2xD5):11D6480,1097
(C22×D5)⋊12D6 = C2×S3×C5⋊D4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5):12D6480,1123
(C22×D5)⋊13D6 = C2×D10⋊D6φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5):13D6480,1124
(C22×D5)⋊14D6 = C22×C15⋊D4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5):14D6480,1118
(C22×D5)⋊15D6 = C22×C3⋊D20φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5):15D6480,1119
(C22×D5)⋊16D6 = C2×D5×C3⋊D4φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5):16D6480,1122

Non-split extensions G=N.Q with N=C22×D5 and Q=D6
extensionφ:Q→Out NdρLabelID
(C22×D5).D6 = F5×S4φ: D6/C1 → D6 ⊆ Out C22×D52012+(C2^2xD5).D6480,1189
(C22×D5).2D6 = C2×A4⋊F5φ: D6/C2 → S3 ⊆ Out C22×D53012+(C2^2xD5).2D6480,1191
(C22×D5).3D6 = Dic3.D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).3D6480,429
(C22×D5).4D6 = D30.34D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).4D6480,430
(C22×D5).5D6 = D30.D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).5D6480,432
(C22×D5).6D6 = (C2×C12).D10φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).6D6480,437
(C22×D5).7D6 = (C2×C60).C22φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).7D6480,438
(C22×D5).8D6 = (C4×Dic3)⋊D5φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).8D6480,439
(C22×D5).9D6 = C60.44D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).9D6480,440
(C22×D5).10D6 = (C4×Dic15)⋊C2φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).10D6480,442
(C22×D5).11D6 = C60.88D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).11D6480,444
(C22×D5).12D6 = Dic15⋊D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).12D6480,484
(C22×D5).13D6 = D10⋊C4⋊S3φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).13D6480,528
(C22×D5).14D6 = Dic15⋊2D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).14D6480,529
(C22×D5).15D6 = D6⋊D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).15D6480,530
(C22×D5).16D6 = (C2×Dic6)⋊D5φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).16D6480,531
(C22×D5).17D6 = C60⋊4D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).17D6480,532
(C22×D5).18D6 = D6.9D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).18D6480,533
(C22×D5).19D6 = C12⋊D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).19D6480,534
(C22×D5).20D6 = D30⋊2D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).20D6480,535
(C22×D5).21D6 = D30⋊12D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).21D6480,537
(C22×D5).22D6 = Dic15.10D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).22D6480,538
(C22×D5).23D6 = C60⋊10D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).23D6480,539
(C22×D5).24D6 = Dic15.31D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).24D6480,540
(C22×D5).25D6 = C12⋊2D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).25D6480,541
(C22×D5).26D6 = D30⋊6D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).26D6480,609
(C22×D5).27D6 = C6.(D4×D5)φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).27D6480,610
(C22×D5).28D6 = (C2×C30).D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).28D6480,612
(C22×D5).29D6 = C6.(C2×D20)φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).29D6480,613
(C22×D5).30D6 = (S3×C10)⋊D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).30D6480,641
(C22×D5).31D6 = Dic15⋊5D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).31D6480,643
(C22×D5).32D6 = (C2×C6)⋊D20φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).32D6480,645
(C22×D5).33D6 = Dic15⋊18D4φ: D6/C3 → C22 ⊆ Out C22×D5240(C2^2xD5).33D6480,647
(C22×D5).34D6 = D10.D12φ: D6/C3 → C22 ⊆ Out C22×D51208-(C2^2xD5).34D6480,248
(C22×D5).35D6 = D10.4D12φ: D6/C3 → C22 ⊆ Out C22×D51208+(C2^2xD5).35D6480,249
(C22×D5).36D6 = (C2×C60)⋊C4φ: D6/C3 → C22 ⊆ Out C22×D51204(C2^2xD5).36D6480,304
(C22×D5).37D6 = C3⋊(C23⋊F5)φ: D6/C3 → C22 ⊆ Out C22×D51204(C2^2xD5).37D6480,316
(C22×D5).38D6 = F5×C3⋊D4φ: D6/C3 → C22 ⊆ Out C22×D5608(C2^2xD5).38D6480,1010
(C22×D5).39D6 = C3⋊D4⋊F5φ: D6/C3 → C22 ⊆ Out C22×D5608(C2^2xD5).39D6480,1012
(C22×D5).40D6 = D4×C3⋊F5φ: D6/C3 → C22 ⊆ Out C22×D5608(C2^2xD5).40D6480,1067
(C22×D5).41D6 = (D5×Dic3)⋊C4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).41D6480,469
(C22×D5).42D6 = D10.19(C4×S3)φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).42D6480,470
(C22×D5).43D6 = Dic3⋊4D20φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).43D6480,471
(C22×D5).44D6 = Dic15⋊13D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).44D6480,472
(C22×D5).45D6 = (C6×D5).D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).45D6480,483
(C22×D5).46D6 = Dic3⋊D20φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).46D6480,485
(C22×D5).47D6 = D10.16D12φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).47D6480,489
(C22×D5).48D6 = D10.17D12φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).48D6480,490
(C22×D5).49D6 = D10⋊1Dic6φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).49D6480,497
(C22×D5).50D6 = D10⋊2Dic6φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).50D6480,498
(C22×D5).51D6 = Dic3×D20φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).51D6480,501
(C22×D5).52D6 = Dic15.D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).52D6480,506
(C22×D5).53D6 = D10⋊4Dic6φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).53D6480,507
(C22×D5).54D6 = D20⋊8Dic3φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).54D6480,510
(C22×D5).55D6 = C15⋊17(C4×D4)φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).55D6480,517
(C22×D5).56D6 = Dic15⋊9D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).56D6480,518
(C22×D5).57D6 = S3×D10⋊C4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).57D6480,548
(C22×D5).58D6 = D30.27D4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).58D6480,549
(C22×D5).59D6 = D30⋊4D4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).59D6480,551
(C22×D5).60D6 = D30⋊5D4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).60D6480,552
(C22×D5).61D6 = C23.17(S3×D5)φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).61D6480,624
(C22×D5).62D6 = (C6×D5)⋊D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).62D6480,625
(C22×D5).63D6 = Dic15⋊3D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).63D6480,626
(C22×D5).64D6 = Dic3×C5⋊D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).64D6480,629
(C22×D5).65D6 = Dic15⋊16D4φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).65D6480,635
(C22×D5).66D6 = D30⋊8D4φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).66D6480,653
(C22×D5).67D6 = C2×D20⋊5S3φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).67D6480,1074
(C22×D5).68D6 = C2×D20⋊S3φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).68D6480,1075
(C22×D5).69D6 = D5×D4⋊2S3φ: D6/S3 → C2 ⊆ Out C22×D51208-(C2^2xD5).69D6480,1098
(C22×D5).70D6 = C2×Dic5.D6φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).70D6480,1113
(C22×D5).71D6 = C2×C30.C23φ: D6/S3 → C2 ⊆ Out C22×D5240(C2^2xD5).71D6480,1114
(C22×D5).72D6 = D10.20D12φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).72D6480,243
(C22×D5).73D6 = C2×Dic3×F5φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).73D6480,998
(C22×D5).74D6 = C22⋊F5.S3φ: D6/S3 → C2 ⊆ Out C22×D51208-(C2^2xD5).74D6480,999
(C22×D5).75D6 = C2×D6⋊F5φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).75D6480,1000
(C22×D5).76D6 = C2×Dic3⋊F5φ: D6/S3 → C2 ⊆ Out C22×D5120(C2^2xD5).76D6480,1001
(C22×D5).77D6 = S3×C22⋊F5φ: D6/S3 → C2 ⊆ Out C22×D5608+(C2^2xD5).77D6480,1011
(C22×D5).78D6 = C22×S3×F5φ: D6/S3 → C2 ⊆ Out C22×D560(C2^2xD5).78D6480,1197
(C22×D5).79D6 = Dic3⋊C4⋊D5φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).79D6480,424
(C22×D5).80D6 = D10⋊Dic6φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).80D6480,425
(C22×D5).81D6 = (D5×C12)⋊C4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).81D6480,433
(C22×D5).82D6 = (C4×D5)⋊Dic3φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).82D6480,434
(C22×D5).83D6 = C60.67D4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).83D6480,435
(C22×D5).84D6 = C60.68D4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).84D6480,436
(C22×D5).85D6 = C4×C15⋊D4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).85D6480,515
(C22×D5).86D6 = D6⋊(C4×D5)φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).86D6480,516
(C22×D5).87D6 = C4×C3⋊D20φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).87D6480,519
(C22×D5).88D6 = C15⋊20(C4×D4)φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).88D6480,520
(C22×D5).89D6 = D6⋊C4⋊D5φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).89D6480,523
(C22×D5).90D6 = D10⋊D12φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).90D6480,524
(C22×D5).91D6 = C60⋊D4φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).91D6480,525
(C22×D5).92D6 = C12⋊7D20φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).92D6480,526
(C22×D5).93D6 = C2×D10⋊Dic3φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).93D6480,611
(C22×D5).94D6 = (C2×C30)⋊D4φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).94D6480,639
(C22×D5).95D6 = (C2×C6)⋊8D20φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).95D6480,640
(C22×D5).96D6 = C2×D6.D10φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).96D6480,1083
(C22×D5).97D6 = C2×D12⋊5D5φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).97D6480,1084
(C22×D5).98D6 = C2×C12.28D10φ: D6/C6 → C2 ⊆ Out C22×D5240(C2^2xD5).98D6480,1085
(C22×D5).99D6 = D5×C4○D12φ: D6/C6 → C2 ⊆ Out C22×D51204(C2^2xD5).99D6480,1090
(C22×D5).100D6 = D10.10D12φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).100D6480,311
(C22×D5).101D6 = C2×C4×C3⋊F5φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).101D6480,1063
(C22×D5).102D6 = C2×C60⋊C4φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).102D6480,1064
(C22×D5).103D6 = (C2×C12)⋊6F5φ: D6/C6 → C2 ⊆ Out C22×D51204(C2^2xD5).103D6480,1065
(C22×D5).104D6 = C2×D10.D6φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).104D6480,1072
(C22×D5).105D6 = C23×C3⋊F5φ: D6/C6 → C2 ⊆ Out C22×D5120(C2^2xD5).105D6480,1206
(C22×D5).106D6 = C4×D5×Dic3φ: trivial image240(C2^2xD5).106D6480,467
(C22×D5).107D6 = D5×Dic3⋊C4φ: trivial image240(C2^2xD5).107D6480,468
(C22×D5).108D6 = D5×C4⋊Dic3φ: trivial image240(C2^2xD5).108D6480,488
(C22×D5).109D6 = D5×D6⋊C4φ: trivial image120(C2^2xD5).109D6480,547
(C22×D5).110D6 = D5×C6.D4φ: trivial image120(C2^2xD5).110D6480,623
(C22×D5).111D6 = C2×D5×Dic6φ: trivial image240(C2^2xD5).111D6480,1073
(C22×D5).112D6 = S3×C2×C4×D5φ: trivial image120(C2^2xD5).112D6480,1086
(C22×D5).113D6 = C2×D5×D12φ: trivial image120(C2^2xD5).113D6480,1087
(C22×D5).114D6 = C22×D5×Dic3φ: trivial image240(C2^2xD5).114D6480,1112

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