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Extensions 1→N→G→Q→1 with N=C5×D6⋊C4 and Q=C2

Direct product G=N×Q with N=C5×D6⋊C4 and Q=C2
dρLabelID
C10×D6⋊C4240C10xD6:C4480,806

Semidirect products G=N:Q with N=C5×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D6⋊C4)⋊1C2 = C5×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):1C2480,754
(C5×D6⋊C4)⋊2C2 = C5×C23.28D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):2C2480,808
(C5×D6⋊C4)⋊3C2 = C5×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):3C2480,809
(C5×D6⋊C4)⋊4C2 = D10.17D12φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):4C2480,490
(C5×D6⋊C4)⋊5C2 = D30⋊D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):5C2480,496
(C5×D6⋊C4)⋊6C2 = D6.9D20φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):6C2480,533
(C5×D6⋊C4)⋊7C2 = Dic15.10D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):7C2480,538
(C5×D6⋊C4)⋊8C2 = D30⋊5D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):8C2480,552
(C5×D6⋊C4)⋊9C2 = D30.35D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):9C2480,431
(C5×D6⋊C4)⋊10C2 = Dic15⋊14D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):10C2480,482
(C5×D6⋊C4)⋊11C2 = Dic15⋊9D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):11C2480,518
(C5×D6⋊C4)⋊12C2 = D30⋊12D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):12C2480,537
(C5×D6⋊C4)⋊13C2 = Dic15.31D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):13C2480,540
(C5×D6⋊C4)⋊14C2 = D30.27D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):14C2480,549
(C5×D6⋊C4)⋊15C2 = (C2×C20).D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):15C2480,402
(C5×D6⋊C4)⋊16C2 = Dic15⋊D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):16C2480,484
(C5×D6⋊C4)⋊17C2 = D6.D20φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):17C2480,503
(C5×D6⋊C4)⋊18C2 = D30.7D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):18C2480,514
(C5×D6⋊C4)⋊19C2 = D6⋊4D20φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):19C2480,550
(C5×D6⋊C4)⋊20C2 = C5×D6⋊D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):20C2480,761
(C5×D6⋊C4)⋊21C2 = C5×C23.9D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):21C2480,762
(C5×D6⋊C4)⋊22C2 = C5×C23.21D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):22C2480,765
(C5×D6⋊C4)⋊23C2 = C5×C12⋊D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):23C2480,774
(C5×D6⋊C4)⋊24C2 = Dic5.8D12φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):24C2480,426
(C5×D6⋊C4)⋊25C2 = Dic5⋊4D12φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):25C2480,481
(C5×D6⋊C4)⋊26C2 = D6⋊(C4×D5)φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):26C2480,516
(C5×D6⋊C4)⋊27C2 = D6⋊C4⋊D5φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):27C2480,523
(C5×D6⋊C4)⋊28C2 = D10⋊D12φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):28C2480,524
(C5×D6⋊C4)⋊29C2 = D5×D6⋊C4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):29C2480,547
(C5×D6⋊C4)⋊30C2 = C5×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):30C2480,759
(C5×D6⋊C4)⋊31C2 = C5×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):31C2480,760
(C5×D6⋊C4)⋊32C2 = C5×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):32C2480,763
(C5×D6⋊C4)⋊33C2 = C5×C23.11D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):33C2480,764
(C5×D6⋊C4)⋊34C2 = C5×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):34C2480,772
(C5×D6⋊C4)⋊35C2 = C5×D6.D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):35C2480,773
(C5×D6⋊C4)⋊36C2 = C5×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4120(C5xD6:C4):36C2480,816
(C5×D6⋊C4)⋊37C2 = C5×C23.14D6φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):37C2480,818
(C5×D6⋊C4)⋊38C2 = C5×C12.23D4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4):38C2480,826
(C5×D6⋊C4)⋊39C2 = C20×D12φ: trivial image240(C5xD6:C4):39C2480,752
(C5×D6⋊C4)⋊40C2 = C20×C3⋊D4φ: trivial image240(C5xD6:C4):40C2480,807

Non-split extensions G=N.Q with N=C5×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C5×D6⋊C4).1C2 = C5×C42⋊3S3φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).1C2480,755
(C5×D6⋊C4).2C2 = C60⋊5C4⋊C2φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).2C2480,418
(C5×D6⋊C4).3C2 = D6⋊2Dic10φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).3C2480,493
(C5×D6⋊C4).4C2 = D6⋊3Dic10φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).4C2480,508
(C5×D6⋊C4).5C2 = D6⋊Dic5.C2φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).5C2480,443
(C5×D6⋊C4).6C2 = (S3×Dic5)⋊C4φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).6C2480,476
(C5×D6⋊C4).7C2 = D6⋊C4.D5φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).7C2480,417
(C5×D6⋊C4).8C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).8C2480,486
(C5×D6⋊C4).9C2 = D6⋊4Dic10φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).9C2480,512
(C5×D6⋊C4).10C2 = C5×C4.D12φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).10C2480,776
(C5×D6⋊C4).11C2 = C5×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).11C2480,777
(C5×D6⋊C4).12C2 = C5⋊(C42⋊3S3)φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).12C2480,448
(C5×D6⋊C4).13C2 = D6.(C4×D5)φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).13C2480,474
(C5×D6⋊C4).14C2 = C5×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).14C2480,771
(C5×D6⋊C4).15C2 = C5×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).15C2480,775
(C5×D6⋊C4).16C2 = C5×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C5×D6⋊C4240(C5xD6:C4).16C2480,825
(C5×D6⋊C4).17C2 = C5×C42⋊2S3φ: trivial image240(C5xD6:C4).17C2480,751

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