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Extensions 1→N→G→Q→1 with N=C4×C3⋊S3 and Q=C6

Direct product G=N×Q with N=C4×C3⋊S3 and Q=C6
dρLabelID
C3⋊S3×C2×C12144C3:S3xC2xC12432,711

Semidirect products G=N:Q with N=C4×C3⋊S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3)⋊1C6 = D4×C32⋊C6φ: C6/C1 → C6 ⊆ Out C4×C3⋊S33612+(C4xC3:S3):1C6432,360
(C4×C3⋊S3)⋊2C6 = C62.13D6φ: C6/C1 → C6 ⊆ Out C4×C3⋊S37212-(C4xC3:S3):2C6432,361
(C4×C3⋊S3)⋊3C6 = (Q8×He3)⋊C2φ: C6/C1 → C6 ⊆ Out C4×C3⋊S37212+(C4xC3:S3):3C6432,369
(C4×C3⋊S3)⋊4C6 = C62.36D6φ: C6/C1 → C6 ⊆ Out C4×C3⋊S3726(C4xC3:S3):4C6432,351
(C4×C3⋊S3)⋊5C6 = C2×C4×C32⋊C6φ: C6/C2 → C3 ⊆ Out C4×C3⋊S372(C4xC3:S3):5C6432,349
(C4×C3⋊S3)⋊6C6 = C3×D12⋊S3φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3):6C6432,644
(C4×C3⋊S3)⋊7C6 = C3×D6⋊D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3):7C6432,650
(C4×C3⋊S3)⋊8C6 = C3×D4×C3⋊S3φ: C6/C3 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3):8C6432,714
(C4×C3⋊S3)⋊9C6 = C3×C12.D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3):9C6432,715
(C4×C3⋊S3)⋊10C6 = C3×C12.26D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3):10C6432,717
(C4×C3⋊S3)⋊11C6 = C3×D6.D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3):11C6432,646
(C4×C3⋊S3)⋊12C6 = S32×C12φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3):12C6432,648
(C4×C3⋊S3)⋊13C6 = C3×C12.59D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S372(C4xC3:S3):13C6432,713

Non-split extensions G=N.Q with N=C4×C3⋊S3 and Q=C6
extensionφ:Q→Out NdρLabelID
(C4×C3⋊S3).1C6 = Q8×C32⋊C6φ: C6/C1 → C6 ⊆ Out C4×C3⋊S37212-(C4xC3:S3).1C6432,368
(C4×C3⋊S3).2C6 = He3⋊5M4(2)φ: C6/C1 → C6 ⊆ Out C4×C3⋊S3726(C4xC3:S3).2C6432,116
(C4×C3⋊S3).3C6 = C8×C32⋊C6φ: C6/C2 → C3 ⊆ Out C4×C3⋊S3726(C4xC3:S3).3C6432,115
(C4×C3⋊S3).4C6 = C3×Dic3.D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).4C6432,645
(C4×C3⋊S3).5C6 = C3×Q8×C3⋊S3φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).5C6432,716
(C4×C3⋊S3).6C6 = C3×C12.29D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).6C6432,415
(C4×C3⋊S3).7C6 = C3×C12.31D6φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).7C6432,417
(C4×C3⋊S3).8C6 = C3×C24⋊S3φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3144(C4xC3:S3).8C6432,481
(C4×C3⋊S3).9C6 = C3×C3⋊S3⋊3C8φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).9C6432,628
(C4×C3⋊S3).10C6 = C3×C32⋊M4(2)φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).10C6432,629
(C4×C3⋊S3).11C6 = C12×C32⋊C4φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).11C6432,630
(C4×C3⋊S3).12C6 = C3×C4⋊(C32⋊C4)φ: C6/C3 → C2 ⊆ Out C4×C3⋊S3484(C4xC3:S3).12C6432,631
(C4×C3⋊S3).13C6 = C3⋊S3×C24φ: trivial image144(C4xC3:S3).13C6432,480

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