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Extensions 1→N→G→Q→1 with N=C4×C32⋊C6 and Q=C2

Direct product G=N×Q with N=C4×C32⋊C6 and Q=C2
dρLabelID
C2×C4×C32⋊C672C2xC4xC3^2:C6432,349

Semidirect products G=N:Q with N=C4×C32⋊C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C32⋊C6)⋊1C2 = C12.91S32φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6726(C4xC3^2:C6):1C2432,297
(C4×C32⋊C6)⋊2C2 = C12⋊S3⋊S3φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212+(C4xC3^2:C6):2C2432,295
(C4×C32⋊C6)⋊3C2 = C12.S32φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212-(C4xC3^2:C6):3C2432,299
(C4×C32⋊C6)⋊4C2 = C3⋊S3⋊D12φ: C2/C1 → C2 ⊆ Out C4×C32⋊C63612+(C4xC3^2:C6):4C2432,301
(C4×C32⋊C6)⋊5C2 = D4×C32⋊C6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C63612+(C4xC3^2:C6):5C2432,360
(C4×C32⋊C6)⋊6C2 = C62.13D6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212-(C4xC3^2:C6):6C2432,361
(C4×C32⋊C6)⋊7C2 = (Q8×He3)⋊C2φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212+(C4xC3^2:C6):7C2432,369
(C4×C32⋊C6)⋊8C2 = C4×C32⋊D6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6366(C4xC3^2:C6):8C2432,300
(C4×C32⋊C6)⋊9C2 = C62.36D6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6726(C4xC3^2:C6):9C2432,351

Non-split extensions G=N.Q with N=C4×C32⋊C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C32⋊C6).1C2 = He3⋊M4(2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6726(C4xC3^2:C6).1C2432,77
(C4×C32⋊C6).2C2 = C3⋊S3⋊Dic6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212-(C4xC3^2:C6).2C2432,294
(C4×C32⋊C6).3C2 = Q8×C32⋊C6φ: C2/C1 → C2 ⊆ Out C4×C32⋊C67212-(C4xC3^2:C6).3C2432,368
(C4×C32⋊C6).4C2 = C32⋊C6⋊C8φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6726(C4xC3^2:C6).4C2432,76
(C4×C32⋊C6).5C2 = He3⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C4×C32⋊C6726(C4xC3^2:C6).5C2432,116
(C4×C32⋊C6).6C2 = C8×C32⋊C6φ: trivial image726(C4xC3^2:C6).6C2432,115

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