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Extensions 1→N→G→Q→1 with N=C4×C3⋊S3 and Q=C4

Direct product G=N×Q with N=C4×C3⋊S3 and Q=C4
dρLabelID
C42×C3⋊S3144C4^2xC3:S3288,728

Semidirect products G=N:Q with N=C4×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3)⋊1C4 = C62.19C23φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):1C4288,497
(C4×C3⋊S3)⋊2C4 = C62.70C23φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):2C4288,548
(C4×C3⋊S3)⋊3C4 = C4⋊C4×C3⋊S3φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):3C4288,748
(C4×C3⋊S3)⋊4C4 = C62.236C23φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):4C4288,749
(C4×C3⋊S3)⋊5C4 = C62.44C23φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):5C4288,522
(C4×C3⋊S3)⋊6C4 = C4×C6.D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):6C4288,530
(C4×C3⋊S3)⋊7C4 = C122⋊16C2φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):7C4288,729
(C4×C3⋊S3)⋊8C4 = C2×C4×C32⋊C4φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):8C4288,932
(C4×C3⋊S3)⋊9C4 = C2×C4⋊(C32⋊C4)φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3):9C4288,933
(C4×C3⋊S3)⋊10C4 = (C6×C12)⋊5C4φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3):10C4288,934

Non-split extensions G=N.Q with N=C4×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3).1C4 = C4.3F9φ: C4/C1 → C4 ⊆ Out C4×C3⋊S3488(C4xC3:S3).1C4288,861
(C4×C3⋊S3).2C4 = C4.F9φ: C4/C1 → C4 ⊆ Out C4×C3⋊S3488(C4xC3:S3).2C4288,862
(C4×C3⋊S3).3C4 = C4×F9φ: C4/C1 → C4 ⊆ Out C4×C3⋊S3368(C4xC3:S3).3C4288,863
(C4×C3⋊S3).4C4 = C4⋊F9φ: C4/C1 → C4 ⊆ Out C4×C3⋊S3368(C4xC3:S3).4C4288,864
(C4×C3⋊S3).5C4 = C3⋊C8⋊20D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3).5C4288,466
(C4×C3⋊S3).6C4 = M4(2)×C3⋊S3φ: C4/C2 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3).6C4288,763
(C4×C3⋊S3).7C4 = C24.60D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).7C4288,190
(C4×C3⋊S3).8C4 = C24.62D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).8C4288,192
(C4×C3⋊S3).9C4 = C48⋊S3φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).9C4288,273
(C4×C3⋊S3).10C4 = C3⋊S3⋊3C16φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).10C4288,412
(C4×C3⋊S3).11C4 = C32⋊3M5(2)φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).11C4288,413
(C4×C3⋊S3).12C4 = C2×C12.29D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).12C4288,464
(C4×C3⋊S3).13C4 = C2×C12.31D6φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).13C4288,468
(C4×C3⋊S3).14C4 = C2×C24⋊S3φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).14C4288,757
(C4×C3⋊S3).15C4 = C2×C3⋊S3⋊3C8φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).15C4288,929
(C4×C3⋊S3).16C4 = C2×C32⋊M4(2)φ: C4/C2 → C2 ⊆ Out C4×C3⋊S348(C4xC3:S3).16C4288,930
(C4×C3⋊S3).17C4 = C3⋊S3⋊M4(2)φ: C4/C2 → C2 ⊆ Out C4×C3⋊S3244(C4xC3:S3).17C4288,931
(C4×C3⋊S3).18C4 = C16×C3⋊S3φ: trivial image144(C4xC3:S3).18C4288,272
(C4×C3⋊S3).19C4 = C2×C8×C3⋊S3φ: trivial image144(C4xC3:S3).19C4288,756

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