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Extensions 1→N→G→Q→1 with N=C22×S3 and Q=D10

Direct product G=N×Q with N=C22×S3 and Q=D10
dρLabelID
S3×C23×D5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=C22×S3 and Q=D10
extensionφ:Q→Out NdρLabelID
(C22×S3)⋊1D10 = D30⋊4D4φ: D10/C5 → C22 ⊆ Out C22×S3120(C2^2xS3):1D10480,551
(C22×S3)⋊2D10 = (C2×C30)⋊D4φ: D10/C5 → C22 ⊆ Out C22×S3120(C2^2xS3):2D10480,639
(C22×S3)⋊3D10 = D30⋊19D4φ: D10/C5 → C22 ⊆ Out C22×S3120(C2^2xS3):3D10480,649
(C22×S3)⋊4D10 = D20⋊26D6φ: D10/C5 → C22 ⊆ Out C22×S31204(C2^2xS3):4D10480,1094
(C22×S3)⋊5D10 = D20⋊13D6φ: D10/C5 → C22 ⊆ Out C22×S31208-(C2^2xS3):5D10480,1101
(C22×S3)⋊6D10 = D12⋊14D10φ: D10/C5 → C22 ⊆ Out C22×S31208+(C2^2xS3):6D10480,1103
(C22×S3)⋊7D10 = C15⋊2+ 1+4φ: D10/C5 → C22 ⊆ Out C22×S31204(C2^2xS3):7D10480,1125
(C22×S3)⋊8D10 = C2×D5×D12φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3):8D10480,1087
(C22×S3)⋊9D10 = C2×C20⋊D6φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3):9D10480,1089
(C22×S3)⋊10D10 = S3×D4×D5φ: D10/D5 → C2 ⊆ Out C22×S3608+(C2^2xS3):10D10480,1097
(C22×S3)⋊11D10 = C2×D5×C3⋊D4φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3):11D10480,1122
(C22×S3)⋊12D10 = C2×D10⋊D6φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3):12D10480,1124
(C22×S3)⋊13D10 = C22×C15⋊D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3):13D10480,1118
(C22×S3)⋊14D10 = C22×C5⋊D12φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3):14D10480,1120
(C22×S3)⋊15D10 = C2×S3×C5⋊D4φ: D10/C10 → C2 ⊆ Out C22×S3120(C2^2xS3):15D10480,1123

Non-split extensions G=N.Q with N=C22×S3 and Q=D10
extensionφ:Q→Out NdρLabelID
(C22×S3).1D10 = (C2×C20).D6φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).1D10480,402
(C22×S3).2D10 = D6⋊C4.D5φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).2D10480,417
(C22×S3).3D10 = C60⋊5C4⋊C2φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).3D10480,418
(C22×S3).4D10 = Dic5.8D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).4D10480,426
(C22×S3).5D10 = D30.35D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).5D10480,431
(C22×S3).6D10 = D6⋊Dic5.C2φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).6D10480,443
(C22×S3).7D10 = C60.89D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).7D10480,446
(C22×S3).8D10 = C5⋊(C42⋊3S3)φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).8D10480,448
(C22×S3).9D10 = C60.69D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).9D10480,449
(C22×S3).10D10 = Dic15⋊D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).10D10480,484
(C22×S3).11D10 = D10.17D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).11D10480,490
(C22×S3).12D10 = D30⋊D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).12D10480,496
(C22×S3).13D10 = D30.7D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).13D10480,514
(C22×S3).14D10 = D6⋊C4⋊D5φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).14D10480,523
(C22×S3).15D10 = D10⋊D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).15D10480,524
(C22×S3).16D10 = C60⋊D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).16D10480,525
(C22×S3).17D10 = C20⋊D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).17D10480,527
(C22×S3).18D10 = Dic15⋊2D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).18D10480,529
(C22×S3).19D10 = D30⋊12D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).19D10480,537
(C22×S3).20D10 = Dic15.10D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).20D10480,538
(C22×S3).21D10 = C60⋊10D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).21D10480,539
(C22×S3).22D10 = Dic15.31D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).22D10480,540
(C22×S3).23D10 = C20⋊2D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).23D10480,542
(C22×S3).24D10 = C23.D5⋊S3φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).24D10480,601
(C22×S3).25D10 = C30.(C2×D4)φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).25D10480,615
(C22×S3).26D10 = (C2×C10).D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).26D10480,619
(C22×S3).27D10 = (C6×D5)⋊D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).27D10480,625
(C22×S3).28D10 = D30⋊7D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).28D10480,633
(C22×S3).29D10 = (C2×C10)⋊4D12φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).29D10480,642
(C22×S3).30D10 = Dic15⋊5D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).30D10480,643
(C22×S3).31D10 = Dic15⋊18D4φ: D10/C5 → C22 ⊆ Out C22×S3240(C2^2xS3).31D10480,647
(C22×S3).32D10 = D6.(C4×D5)φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).32D10480,474
(C22×S3).33D10 = (S3×Dic5)⋊C4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).33D10480,476
(C22×S3).34D10 = Dic5⋊4D12φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).34D10480,481
(C22×S3).35D10 = Dic15⋊14D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).35D10480,482
(C22×S3).36D10 = D6⋊1Dic10φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).36D10480,486
(C22×S3).37D10 = Dic5×D12φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).37D10480,491
(C22×S3).38D10 = Dic5⋊D12φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).38D10480,492
(C22×S3).39D10 = D6⋊2Dic10φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).39D10480,493
(C22×S3).40D10 = (C2×D12).D5φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).40D10480,499
(C22×S3).41D10 = D6.D20φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).41D10480,503
(C22×S3).42D10 = D6⋊3Dic10φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).42D10480,508
(C22×S3).43D10 = Dic15⋊8D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).43D10480,511
(C22×S3).44D10 = D6⋊4Dic10φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).44D10480,512
(C22×S3).45D10 = D6⋊(C4×D5)φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).45D10480,516
(C22×S3).46D10 = Dic15⋊9D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).46D10480,518
(C22×S3).47D10 = D6.9D20φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).47D10480,533
(C22×S3).48D10 = D5×D6⋊C4φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3).48D10480,547
(C22×S3).49D10 = D30.27D4φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3).49D10480,549
(C22×S3).50D10 = D6⋊4D20φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3).50D10480,550
(C22×S3).51D10 = D30⋊5D4φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3).51D10480,552
(C22×S3).52D10 = Dic5×C3⋊D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).52D10480,627
(C22×S3).53D10 = (S3×C10).D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).53D10480,631
(C22×S3).54D10 = Dic15⋊4D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).54D10480,634
(C22×S3).55D10 = Dic15⋊17D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).55D10480,636
(C22×S3).56D10 = (S3×C10)⋊D4φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).56D10480,641
(C22×S3).57D10 = D30⋊8D4φ: D10/D5 → C2 ⊆ Out C22×S3120(C2^2xS3).57D10480,653
(C22×S3).58D10 = C2×D12⋊D5φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).58D10480,1079
(C22×S3).59D10 = C2×D12⋊5D5φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).59D10480,1084
(C22×S3).60D10 = S3×D4⋊2D5φ: D10/D5 → C2 ⊆ Out C22×S31208-(C2^2xS3).60D10480,1099
(C22×S3).61D10 = C2×C30.C23φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).61D10480,1114
(C22×S3).62D10 = C2×Dic3.D10φ: D10/D5 → C2 ⊆ Out C22×S3240(C2^2xS3).62D10480,1116
(C22×S3).63D10 = (S3×C20)⋊5C4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).63D10480,414
(C22×S3).64D10 = D6⋊Dic5⋊C2φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).64D10480,427
(C22×S3).65D10 = D6⋊Dic10φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).65D10480,428
(C22×S3).66D10 = C60.45D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).66D10480,441
(C22×S3).67D10 = C60.46D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).67D10480,445
(C22×S3).68D10 = (S3×C20)⋊7C4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).68D10480,447
(C22×S3).69D10 = C4×C15⋊D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).69D10480,515
(C22×S3).70D10 = C15⋊17(C4×D4)φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).70D10480,517
(C22×S3).71D10 = C4×C5⋊D12φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).71D10480,521
(C22×S3).72D10 = C15⋊22(C4×D4)φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).72D10480,522
(C22×S3).73D10 = D10⋊C4⋊S3φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).73D10480,528
(C22×S3).74D10 = D6⋊D20φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).74D10480,530
(C22×S3).75D10 = C60⋊4D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).75D10480,532
(C22×S3).76D10 = C60⋊6D4φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).76D10480,536
(C22×S3).77D10 = C2×D6⋊Dic5φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).77D10480,614
(C22×S3).78D10 = C15⋊C22≀C2φ: D10/C10 → C2 ⊆ Out C22×S3120(C2^2xS3).78D10480,644
(C22×S3).79D10 = (C2×C10)⋊11D12φ: D10/C10 → C2 ⊆ Out C22×S3120(C2^2xS3).79D10480,646
(C22×S3).80D10 = C2×D20⋊5S3φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).80D10480,1074
(C22×S3).81D10 = C2×D60⋊C2φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).81D10480,1081
(C22×S3).82D10 = C2×D6.D10φ: D10/C10 → C2 ⊆ Out C22×S3240(C2^2xS3).82D10480,1083
(C22×S3).83D10 = S3×C4○D20φ: D10/C10 → C2 ⊆ Out C22×S31204(C2^2xS3).83D10480,1091
(C22×S3).84D10 = C4×S3×Dic5φ: trivial image240(C2^2xS3).84D10480,473
(C22×S3).85D10 = S3×C10.D4φ: trivial image240(C2^2xS3).85D10480,475
(C22×S3).86D10 = S3×C4⋊Dic5φ: trivial image240(C2^2xS3).86D10480,502
(C22×S3).87D10 = S3×D10⋊C4φ: trivial image120(C2^2xS3).87D10480,548
(C22×S3).88D10 = S3×C23.D5φ: trivial image120(C2^2xS3).88D10480,630
(C22×S3).89D10 = C2×S3×Dic10φ: trivial image240(C2^2xS3).89D10480,1078
(C22×S3).90D10 = S3×C2×C4×D5φ: trivial image120(C2^2xS3).90D10480,1086
(C22×S3).91D10 = C2×S3×D20φ: trivial image120(C2^2xS3).91D10480,1088
(C22×S3).92D10 = C22×S3×Dic5φ: trivial image240(C2^2xS3).92D10480,1115

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