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

Direct product G=N×Q with N=S3×C3×C6 and Q=C4
dρLabelID
S3×C6×C12144S3xC6xC12432,701

Semidirect products G=N:Q with N=S3×C3×C6 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C3×C6)⋊1C4 = D6⋊(C32⋊C4)φ: C4/C1C4 ⊆ Out S3×C3×C6248+(S3xC3xC6):1C4432,568
(S3×C3×C6)⋊2C4 = C2×S3×C32⋊C4φ: C4/C1C4 ⊆ Out S3×C3×C6248+(S3xC3xC6):2C4432,753
(S3×C3×C6)⋊3C4 = C3×D6⋊Dic3φ: C4/C2C2 ⊆ Out S3×C3×C648(S3xC3xC6):3C4432,426
(S3×C3×C6)⋊4C4 = C62.77D6φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6):4C4432,449
(S3×C3×C6)⋊5C4 = C32×D6⋊C4φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6):5C4432,474
(S3×C3×C6)⋊6C4 = S3×C6×Dic3φ: C4/C2C2 ⊆ Out S3×C3×C648(S3xC3xC6):6C4432,651
(S3×C3×C6)⋊7C4 = C2×S3×C3⋊Dic3φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6):7C4432,674

Non-split extensions G=N.Q with N=S3×C3×C6 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C3×C6).1C4 = S3×C322C8φ: C4/C1C4 ⊆ Out S3×C3×C6488-(S3xC3xC6).1C4432,570
(S3×C3×C6).2C4 = C33⋊M4(2)φ: C4/C1C4 ⊆ Out S3×C3×C6488-(S3xC3xC6).2C4432,572
(S3×C3×C6).3C4 = C3×S3×C3⋊C8φ: C4/C2C2 ⊆ Out S3×C3×C6484(S3xC3xC6).3C4432,414
(S3×C3×C6).4C4 = C3×D6.Dic3φ: C4/C2C2 ⊆ Out S3×C3×C6484(S3xC3xC6).4C4432,416
(S3×C3×C6).5C4 = S3×C324C8φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6).5C4432,430
(S3×C3×C6).6C4 = C337M4(2)φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6).6C4432,433
(S3×C3×C6).7C4 = C32×C8⋊S3φ: C4/C2C2 ⊆ Out S3×C3×C6144(S3xC3xC6).7C4432,465
(S3×C3×C6).8C4 = S3×C3×C24φ: trivial image144(S3xC3xC6).8C4432,464

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