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Extensions 1→N→G→Q→1 with N=C6×Dic10 and Q=C2

Direct product G=N×Q with N=C6×Dic10 and Q=C2
dρLabelID
C2×C6×Dic10480C2xC6xDic10480,1135

Semidirect products G=N:Q with N=C6×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Dic10)⋊1C2 = D12.37D10φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):1C2480,385
(C6×Dic10)⋊2C2 = C12.D20φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):2C2480,391
(C6×Dic10)⋊3C2 = C30.C24φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):3C2480,1080
(C6×Dic10)⋊4C2 = C2×C15⋊SD16φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):4C2480,390
(C6×Dic10)⋊5C2 = C60.46D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):5C2480,445
(C6×Dic10)⋊6C2 = C60.47D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):6C2480,450
(C6×Dic10)⋊7C2 = C2×S3×Dic10φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):7C2480,1078
(C6×Dic10)⋊8C2 = C2×D60⋊C2φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):8C2480,1081
(C6×Dic10)⋊9C2 = C2×C20.D6φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):9C2480,384
(C6×Dic10)⋊10C2 = C60.89D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):10C2480,446
(C6×Dic10)⋊11C2 = D30⋊10Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):11C2480,466
(C6×Dic10)⋊12C2 = C2×D12⋊D5φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):12C2480,1079
(C6×Dic10)⋊13C2 = C2×D15⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):13C2480,1082
(C6×Dic10)⋊14C2 = (C2×C20).D6φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):14C2480,402
(C6×Dic10)⋊15C2 = D6⋊1Dic10φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):15C2480,486
(C6×Dic10)⋊16C2 = D30⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):16C2480,487
(C6×Dic10)⋊17C2 = C3×C4.D20φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):17C2480,668
(C6×Dic10)⋊18C2 = C3×Dic5.14D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):18C2480,671
(C6×Dic10)⋊19C2 = C3×Dic5.5D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):19C2480,678
(C6×Dic10)⋊20C2 = C3×D10⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):20C2480,689
(C6×Dic10)⋊21C2 = C6×C40⋊C2φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):21C2480,695
(C6×Dic10)⋊22C2 = C3×C20.48D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):22C2480,717
(C6×Dic10)⋊23C2 = C3×D10⋊2Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):23C2480,690
(C6×Dic10)⋊24C2 = C3×C8.D10φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):24C2480,702
(C6×Dic10)⋊25C2 = C6×D4.D5φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):25C2480,726
(C6×Dic10)⋊26C2 = C3×C20.17D4φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):26C2480,729
(C6×Dic10)⋊27C2 = C3×D4.9D10φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):27C2480,744
(C6×Dic10)⋊28C2 = C6×D4⋊2D5φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):28C2480,1140
(C6×Dic10)⋊29C2 = C6×Q8×D5φ: C2/C1 → C2 ⊆ Out C6×Dic10240(C6xDic10):29C2480,1142
(C6×Dic10)⋊30C2 = C3×D4.10D10φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10):30C2480,1147
(C6×Dic10)⋊31C2 = C6×C4○D20φ: trivial image240(C6xDic10):31C2480,1138

Non-split extensions G=N.Q with N=C6×Dic10 and Q=C2
extensionφ:Q→Out NdρLabelID
(C6×Dic10).1C2 = C12.6D20φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10).1C2480,37
(C6×Dic10).2C2 = C6.Dic20φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).2C2480,47
(C6×Dic10).3C2 = C2×C3⋊Dic20φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).3C2480,395
(C6×Dic10).4C2 = Dic3×Dic10φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).4C2480,406
(C6×Dic10).5C2 = C60.48D4φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).5C2480,465
(C6×Dic10).6C2 = C30.Q16φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).6C2480,46
(C6×Dic10).7C2 = C2×C15⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).7C2480,394
(C6×Dic10).8C2 = Dic15⋊6Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).8C2480,407
(C6×Dic10).9C2 = Dic15⋊8Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).9C2480,461
(C6×Dic10).10C2 = C3×C20.44D4φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).10C2480,94
(C6×Dic10).11C2 = C3×Dic5.D4φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10).11C2480,285
(C6×Dic10).12C2 = (C2×C60).C4φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10).12C2480,310
(C6×Dic10).13C2 = Dic15⋊1Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).13C2480,403
(C6×Dic10).14C2 = C3×C20⋊2Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).14C2480,662
(C6×Dic10).15C2 = C3×C20⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).15C2480,681
(C6×Dic10).16C2 = C6×Dic20φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).16C2480,698
(C6×Dic10).17C2 = C3×C10.Q16φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).17C2480,88
(C6×Dic10).18C2 = C3×C4.12D20φ: C2/C1 → C2 ⊆ Out C6×Dic102404(C6xDic10).18C2480,102
(C6×Dic10).19C2 = C3×Dic5⋊3Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).19C2480,680
(C6×Dic10).20C2 = C6×C5⋊Q16φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).20C2480,736
(C6×Dic10).21C2 = C3×Dic5⋊Q8φ: C2/C1 → C2 ⊆ Out C6×Dic10480(C6xDic10).21C2480,737
(C6×Dic10).22C2 = C12×Dic10φ: trivial image480(C6xDic10).22C2480,661

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