# Extensions 1→N→G→Q→1 with N=C2×C6×C3⋊S3 and Q=C2

Direct product G=N×Q with N=C2×C6×C3⋊S3 and Q=C2
dρLabelID
C3⋊S3×C22×C6144C3:S3xC2^2xC6432,773

Semidirect products G=N:Q with N=C2×C6×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×C3⋊S3)⋊1C2 = C6×C3⋊D12φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3):1C2432,656
(C2×C6×C3⋊S3)⋊2C2 = C3×Dic3⋊D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3244(C2xC6xC3:S3):2C2432,659
(C2×C6×C3⋊S3)⋊3C2 = C2×C336D4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3144(C2xC6xC3:S3):3C2432,680
(C2×C6×C3⋊S3)⋊4C2 = C2×C338D4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S372(C2xC6xC3:S3):4C2432,682
(C2×C6×C3⋊S3)⋊5C2 = C3⋊S3×C3⋊D4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S372(C2xC6xC3:S3):5C2432,685
(C2×C6×C3⋊S3)⋊6C2 = C2×C339D4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3):6C2432,694
(C2×C6×C3⋊S3)⋊7C2 = C6224D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3244(C2xC6xC3:S3):7C2432,696
(C2×C6×C3⋊S3)⋊8C2 = C6×C12⋊S3φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3144(C2xC6xC3:S3):8C2432,712
(C2×C6×C3⋊S3)⋊9C2 = C3×D4×C3⋊S3φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S372(C2xC6xC3:S3):9C2432,714
(C2×C6×C3⋊S3)⋊10C2 = C6×C327D4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S372(C2xC6xC3:S3):10C2432,719
(C2×C6×C3⋊S3)⋊11C2 = S32×C2×C6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3):11C2432,767
(C2×C6×C3⋊S3)⋊12C2 = C22×S3×C3⋊S3φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S372(C2xC6xC3:S3):12C2432,768
(C2×C6×C3⋊S3)⋊13C2 = C22×C324D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3):13C2432,769

Non-split extensions G=N.Q with N=C2×C6×C3⋊S3 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×C6×C3⋊S3).1C2 = C3×C6.D12φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).1C2432,427
(C2×C6×C3⋊S3).2C2 = C62.78D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3144(C2xC6xC3:S3).2C2432,450
(C2×C6×C3⋊S3).3C2 = C62.84D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).3C2432,461
(C2×C6×C3⋊S3).4C2 = C3×C6.11D12φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3144(C2xC6xC3:S3).4C2432,490
(C2×C6×C3⋊S3).5C2 = C3×C62⋊C4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3244(C2xC6xC3:S3).5C2432,634
(C2×C6×C3⋊S3).6C2 = C6211Dic3φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3244(C2xC6xC3:S3).6C2432,641
(C2×C6×C3⋊S3).7C2 = C6×C6.D6φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).7C2432,654
(C2×C6×C3⋊S3).8C2 = C2×Dic3×C3⋊S3φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S3144(C2xC6xC3:S3).8C2432,677
(C2×C6×C3⋊S3).9C2 = C2×C339(C2×C4)φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).9C2432,692
(C2×C6×C3⋊S3).10C2 = C2×C6×C32⋊C4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).10C2432,765
(C2×C6×C3⋊S3).11C2 = C22×C33⋊C4φ: C2/C1C2 ⊆ Out C2×C6×C3⋊S348(C2xC6xC3:S3).11C2432,766
(C2×C6×C3⋊S3).12C2 = C3⋊S3×C2×C12φ: trivial image144(C2xC6xC3:S3).12C2432,711

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