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Extensions 1→N→G→Q→1 with N=S3×C2×C6 and Q=C4

Direct product G=N×Q with N=S3×C2×C6 and Q=C4
dρLabelID
S3×C22×C1296S3xC2^2xC12288,989

Semidirect products G=N:Q with N=S3×C2×C6 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C2×C6)⋊1C4 = C62.31D4φ: C4/C1 → C4 ⊆ Out S3×C2×C6244(S3xC2xC6):1C4288,228
(S3×C2×C6)⋊2C4 = C3×C23.6D6φ: C4/C1 → C4 ⊆ Out S3×C2×C6244(S3xC2xC6):2C4288,240
(S3×C2×C6)⋊3C4 = C2×D6⋊Dic3φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6):3C4288,608
(S3×C2×C6)⋊4C4 = S3×C6.D4φ: C4/C2 → C2 ⊆ Out S3×C2×C648(S3xC2xC6):4C4288,616
(S3×C2×C6)⋊5C4 = C3×S3×C22⋊C4φ: C4/C2 → C2 ⊆ Out S3×C2×C648(S3xC2xC6):5C4288,651
(S3×C2×C6)⋊6C4 = C6×D6⋊C4φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6):6C4288,698
(S3×C2×C6)⋊7C4 = C22×S3×Dic3φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6):7C4288,969

Non-split extensions G=N.Q with N=S3×C2×C6 and Q=C4
extensionφ:Q→Out NdρLabelID
(S3×C2×C6).1C4 = C12.D12φ: C4/C1 → C4 ⊆ Out S3×C2×C6484(S3xC2xC6).1C4288,206
(S3×C2×C6).2C4 = C3×C12.46D4φ: C4/C1 → C4 ⊆ Out S3×C2×C6484(S3xC2xC6).2C4288,257
(S3×C2×C6).3C4 = C12.77D12φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6).3C4288,204
(S3×C2×C6).4C4 = C3×D6⋊C8φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6).4C4288,254
(S3×C2×C6).5C4 = C2×S3×C3⋊C8φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6).5C4288,460
(S3×C2×C6).6C4 = S3×C4.Dic3φ: C4/C2 → C2 ⊆ Out S3×C2×C6484(S3xC2xC6).6C4288,461
(S3×C2×C6).7C4 = C2×D6.Dic3φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6).7C4288,467
(S3×C2×C6).8C4 = C6×C8⋊S3φ: C4/C2 → C2 ⊆ Out S3×C2×C696(S3xC2xC6).8C4288,671
(S3×C2×C6).9C4 = C3×S3×M4(2)φ: C4/C2 → C2 ⊆ Out S3×C2×C6484(S3xC2xC6).9C4288,677
(S3×C2×C6).10C4 = S3×C2×C24φ: trivial image96(S3xC2xC6).10C4288,670

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