# Extensions 1→N→G→Q→1 with N=C22×C32⋊C6 and Q=C2

Direct product G=N×Q with N=C22×C32⋊C6 and Q=C2
dρLabelID
C23×C32⋊C672C2^3xC3^2:C6432,558

Semidirect products G=N:Q with N=C22×C32⋊C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C32⋊C6)⋊1C2 = C2×He32D4φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6):1C2432,320
(C22×C32⋊C6)⋊2C2 = C2×He33D4φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6):2C2432,322
(C22×C32⋊C6)⋊3C2 = C62⋊D6φ: C2/C1C2 ⊆ Out C22×C32⋊C63612+(C2^2xC3^2:C6):3C2432,323
(C22×C32⋊C6)⋊4C2 = C2×He34D4φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6):4C2432,350
(C22×C32⋊C6)⋊5C2 = D4×C32⋊C6φ: C2/C1C2 ⊆ Out C22×C32⋊C63612+(C2^2xC3^2:C6):5C2432,360
(C22×C32⋊C6)⋊6C2 = C2×He36D4φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6):6C2432,377
(C22×C32⋊C6)⋊7C2 = C22×C32⋊D6φ: C2/C1C2 ⊆ Out C22×C32⋊C636(C2^2xC3^2:C6):7C2432,545

Non-split extensions G=N.Q with N=C22×C32⋊C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C32⋊C6).1C2 = C62.4D6φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6).1C2432,97
(C22×C32⋊C6).2C2 = C62.21D6φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6).2C2432,141
(C22×C32⋊C6).3C2 = C2×C6.S32φ: C2/C1C2 ⊆ Out C22×C32⋊C672(C2^2xC3^2:C6).3C2432,317
(C22×C32⋊C6).4C2 = C2×C4×C32⋊C6φ: trivial image72(C2^2xC3^2:C6).4C2432,349

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