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Extensions 1→N→G→Q→1 with N=C23×C6 and Q=C4

Direct product G=N×Q with N=C23×C6 and Q=C4
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C23×C6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C23×C6)⋊1C4 = C3×C2≀C4φ: C4/C1 → C4 ⊆ Aut C23×C6244(C2^3xC6):1C4192,157
(C23×C6)⋊2C4 = C6×C23⋊C4φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6):2C4192,842
(C23×C6)⋊3C4 = C24⋊5Dic3φ: C4/C1 → C4 ⊆ Aut C23×C6244(C2^3xC6):3C4192,95
(C23×C6)⋊4C4 = C2×C23.7D6φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6):4C4192,778
(C23×C6)⋊5C4 = C3×C24⋊3C4φ: C4/C2 → C2 ⊆ Aut C23×C648(C2^3xC6):5C4192,812
(C23×C6)⋊6C4 = C2×C6×C22⋊C4φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6):6C4192,1401
(C23×C6)⋊7C4 = C25.4S3φ: C4/C2 → C2 ⊆ Aut C23×C648(C2^3xC6):7C4192,806
(C23×C6)⋊8C4 = C22×C6.D4φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6):8C4192,1398
(C23×C6)⋊9C4 = Dic3×C24φ: C4/C2 → C2 ⊆ Aut C23×C6192(C2^3xC6):9C4192,1528

Non-split extensions G=N.Q with N=C23×C6 and Q=C4
extensionφ:Q→Aut NdρLabelID
(C23×C6).1C4 = C3×C23⋊C8φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6).1C4192,129
(C23×C6).2C4 = C6×C4.D4φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6).2C4192,844
(C23×C6).3C4 = C24.3Dic3φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6).3C4192,84
(C23×C6).4C4 = C2×C12.D4φ: C4/C1 → C4 ⊆ Aut C23×C648(C2^3xC6).4C4192,775
(C23×C6).5C4 = C6×C22⋊C8φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6).5C4192,839
(C23×C6).6C4 = C3×C24.4C4φ: C4/C2 → C2 ⊆ Aut C23×C648(C2^3xC6).6C4192,840
(C23×C6).7C4 = C2×C6×M4(2)φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6).7C4192,1455
(C23×C6).8C4 = C2×C12.55D4φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6).8C4192,765
(C23×C6).9C4 = C24.6Dic3φ: C4/C2 → C2 ⊆ Aut C23×C648(C2^3xC6).9C4192,766
(C23×C6).10C4 = C23×C3⋊C8φ: C4/C2 → C2 ⊆ Aut C23×C6192(C2^3xC6).10C4192,1339
(C23×C6).11C4 = C22×C4.Dic3φ: C4/C2 → C2 ⊆ Aut C23×C696(C2^3xC6).11C4192,1340

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