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Extensions 1→N→G→Q→1 with N=C2×Dic10 and Q=S3

Direct product G=N×Q with N=C2×Dic10 and Q=S3
dρLabelID
C2×S3×Dic10240C2xS3xDic10480,1078

Semidirect products G=N:Q with N=C2×Dic10 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×Dic10)⋊1S3 = C2×C15⋊SD16φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):1S3480,390
(C2×Dic10)⋊2S3 = (C2×C20).D6φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):2S3480,402
(C2×Dic10)⋊3S3 = C60.46D4φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):3S3480,445
(C2×Dic10)⋊4S3 = C60.47D4φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):4S3480,450
(C2×Dic10)⋊5S3 = D6⋊1Dic10φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):5S3480,486
(C2×Dic10)⋊6S3 = D30⋊Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):6S3480,487
(C2×Dic10)⋊7S3 = C2×C20.D6φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):7S3480,384
(C2×Dic10)⋊8S3 = D12.37D10φ: S3/C3 → C2 ⊆ Out C2×Dic102404(C2xDic10):8S3480,385
(C2×Dic10)⋊9S3 = C12.D20φ: S3/C3 → C2 ⊆ Out C2×Dic102404(C2xDic10):9S3480,391
(C2×Dic10)⋊10S3 = C60.89D4φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):10S3480,446
(C2×Dic10)⋊11S3 = D30⋊10Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):11S3480,466
(C2×Dic10)⋊12S3 = C2×D12⋊D5φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):12S3480,1079
(C2×Dic10)⋊13S3 = C30.C24φ: S3/C3 → C2 ⊆ Out C2×Dic102404(C2xDic10):13S3480,1080
(C2×Dic10)⋊14S3 = C2×D15⋊Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10240(C2xDic10):14S3480,1082
(C2×Dic10)⋊15S3 = C2×D60⋊C2φ: trivial image240(C2xDic10):15S3480,1081

Non-split extensions G=N.Q with N=C2×Dic10 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×Dic10).1S3 = C6.Dic20φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).1S3480,47
(C2×Dic10).2S3 = (C2×C60).C4φ: S3/C3 → C2 ⊆ Out C2×Dic102404(C2xDic10).2S3480,310
(C2×Dic10).3S3 = C2×C3⋊Dic20φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).3S3480,395
(C2×Dic10).4S3 = Dic15⋊1Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).4S3480,403
(C2×Dic10).5S3 = C60.48D4φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).5S3480,465
(C2×Dic10).6S3 = C12.6D20φ: S3/C3 → C2 ⊆ Out C2×Dic102404(C2xDic10).6S3480,37
(C2×Dic10).7S3 = C30.Q16φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).7S3480,46
(C2×Dic10).8S3 = C2×C15⋊Q16φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).8S3480,394
(C2×Dic10).9S3 = Dic15⋊6Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).9S3480,407
(C2×Dic10).10S3 = Dic15⋊8Q8φ: S3/C3 → C2 ⊆ Out C2×Dic10480(C2xDic10).10S3480,461
(C2×Dic10).11S3 = Dic3×Dic10φ: trivial image480(C2xDic10).11S3480,406

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