Extensions 1→N→G→Q→1 with N=C22×C3⋊S3 and Q=C4

Direct product G=N×Q with N=C22×C3⋊S3 and Q=C4
dρLabelID
C22×C4×C3⋊S3144C2^2xC4xC3:S3288,1004

Semidirect products G=N:Q with N=C22×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×C3⋊S3)⋊1C4 = C62.32D4φ: C4/C1C4 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3):1C4288,229
(C22×C3⋊S3)⋊2C4 = C62.110D4φ: C4/C1C4 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):2C4288,281
(C22×C3⋊S3)⋊3C4 = (C6×C12)⋊C4φ: C4/C1C4 ⊆ Out C22×C3⋊S3244+(C2^2xC3:S3):3C4288,422
(C22×C3⋊S3)⋊4C4 = C2×C6.D12φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3):4C4288,611
(C22×C3⋊S3)⋊5C4 = C62.116C23φ: C4/C2C2 ⊆ Out C22×C3⋊S324(C2^2xC3:S3):5C4288,622
(C22×C3⋊S3)⋊6C4 = C22⋊C4×C3⋊S3φ: C4/C2C2 ⊆ Out C22×C3⋊S372(C2^2xC3:S3):6C4288,737
(C22×C3⋊S3)⋊7C4 = C2×C6.11D12φ: C4/C2C2 ⊆ Out C22×C3⋊S3144(C2^2xC3:S3):7C4288,784
(C22×C3⋊S3)⋊8C4 = C2×C62⋊C4φ: C4/C2C2 ⊆ Out C22×C3⋊S324(C2^2xC3:S3):8C4288,941
(C22×C3⋊S3)⋊9C4 = C22×C6.D6φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3):9C4288,972
(C22×C3⋊S3)⋊10C4 = C23×C32⋊C4φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3):10C4288,1039

Non-split extensions G=N.Q with N=C22×C3⋊S3 and Q=C4
extensionφ:Q→Out NdρLabelID
(C22×C3⋊S3).1C4 = C12.70D12φ: C4/C1C4 ⊆ Out C22×C3⋊S3244+(C2^2xC3:S3).1C4288,207
(C22×C3⋊S3).2C4 = C12.19D12φ: C4/C1C4 ⊆ Out C22×C3⋊S372(C2^2xC3:S3).2C4288,298
(C22×C3⋊S3).3C4 = (C2×C62).C4φ: C4/C1C4 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3).3C4288,436
(C22×C3⋊S3).4C4 = C22⋊F9φ: C4/C1C4 ⊆ Out C22×C3⋊S3248+(C2^2xC3:S3).4C4288,867
(C22×C3⋊S3).5C4 = C22×F9φ: C4/C1C4 ⊆ Out C22×C3⋊S336(C2^2xC3:S3).5C4288,1030
(C22×C3⋊S3).6C4 = C12.78D12φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).6C4288,205
(C22×C3⋊S3).7C4 = C12.60D12φ: C4/C2C2 ⊆ Out C22×C3⋊S3144(C2^2xC3:S3).7C4288,295
(C22×C3⋊S3).8C4 = C62.6(C2×C4)φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).8C4288,426
(C22×C3⋊S3).9C4 = C2×C12.29D6φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).9C4288,464
(C22×C3⋊S3).10C4 = C3⋊C820D6φ: C4/C2C2 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3).10C4288,466
(C22×C3⋊S3).11C4 = C2×C12.31D6φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).11C4288,468
(C22×C3⋊S3).12C4 = C2×C24⋊S3φ: C4/C2C2 ⊆ Out C22×C3⋊S3144(C2^2xC3:S3).12C4288,757
(C22×C3⋊S3).13C4 = M4(2)×C3⋊S3φ: C4/C2C2 ⊆ Out C22×C3⋊S372(C2^2xC3:S3).13C4288,763
(C22×C3⋊S3).14C4 = C2×C3⋊S33C8φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).14C4288,929
(C22×C3⋊S3).15C4 = C2×C32⋊M4(2)φ: C4/C2C2 ⊆ Out C22×C3⋊S348(C2^2xC3:S3).15C4288,930
(C22×C3⋊S3).16C4 = C3⋊S3⋊M4(2)φ: C4/C2C2 ⊆ Out C22×C3⋊S3244(C2^2xC3:S3).16C4288,931
(C22×C3⋊S3).17C4 = C2×C8×C3⋊S3φ: trivial image144(C2^2xC3:S3).17C4288,756

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