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Extensions 1→N→G→Q→1 with N=C2×D20 and Q=S3

Direct product G=N×Q with N=C2×D20 and Q=S3
dρLabelID
C2×S3×D20120C2xS3xD20480,1088

Semidirect products G=N:Q with N=C2×D20 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×D20)⋊1S3 = C2×C3⋊D40φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):1S3480,376
(C2×D20)⋊2S3 = Dic15⋊D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):2S3480,484
(C2×D20)⋊3S3 = Dic3⋊D20φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):3S3480,485
(C2×D20)⋊4S3 = C60⋊4D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):4S3480,532
(C2×D20)⋊5S3 = C12⋊D20φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):5S3480,534
(C2×D20)⋊6S3 = D6⋊4D20φ: S3/C3 → C2 ⊆ Out C2×D20120(C2xD20):6S3480,550
(C2×D20)⋊7S3 = C2×C15⋊D8φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):7S3480,372
(C2×D20)⋊8S3 = C60.36D4φ: S3/C3 → C2 ⊆ Out C2×D201204(C2xD20):8S3480,374
(C2×D20)⋊9S3 = D60⋊30C22φ: S3/C3 → C2 ⊆ Out C2×D201204(C2xD20):9S3480,388
(C2×D20)⋊10S3 = C60⋊10D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):10S3480,539
(C2×D20)⋊11S3 = C12⋊2D20φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):11S3480,541
(C2×D20)⋊12S3 = C2×D20⋊S3φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20):12S3480,1075
(C2×D20)⋊13S3 = C2×C20⋊D6φ: S3/C3 → C2 ⊆ Out C2×D20120(C2xD20):13S3480,1089
(C2×D20)⋊14S3 = D20⋊25D6φ: S3/C3 → C2 ⊆ Out C2×D201204(C2xD20):14S3480,1093
(C2×D20)⋊15S3 = C2×D20⋊5S3φ: trivial image240(C2xD20):15S3480,1074

Non-split extensions G=N.Q with N=C2×D20 and Q=S3
extensionφ:Q→Out NdρLabelID
(C2×D20).1S3 = C6.D40φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).1S3480,41
(C2×D20).2S3 = (C2×C60)⋊C4φ: S3/C3 → C2 ⊆ Out C2×D201204(C2xD20).2S3480,304
(C2×D20).3S3 = C2×C6.D20φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).3S3480,386
(C2×D20).4S3 = C60.44D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).4S3480,440
(C2×D20).5S3 = (C6×D5).D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).5S3480,483
(C2×D20).6S3 = C60.28D4φ: S3/C3 → C2 ⊆ Out C2×D201204(C2xD20).6S3480,34
(C2×D20).7S3 = C30.D8φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).7S3480,40
(C2×D20).8S3 = C2×C30.D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).8S3480,382
(C2×D20).9S3 = C60.88D4φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).9S3480,444
(C2×D20).10S3 = D20⋊8Dic3φ: S3/C3 → C2 ⊆ Out C2×D20240(C2xD20).10S3480,510
(C2×D20).11S3 = Dic3×D20φ: trivial image240(C2xD20).11S3480,501

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