Extensions 1→N→G→Q→1 with N=Q₈×C₃³ and Q=C₂

Direct product G=N×Q with N=Q₈×C₃³ and Q=C₂

		d	ρ	Label	ID
Q₈×C₃²×C₆		432		Q8xC3^2xC6	432,732

Semidirect products G=N:Q with N=Q₈×C₃³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃³)⋊₁C₂ = C₃²×Q₈⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):1C2	432,477
(Q₈×C₃³)⋊₂C₂ = C₃×C₃²⋊₁₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):2C2	432,493
(Q₈×C₃³)⋊₃C₂ = C₃³⋊₂₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	216		(Q8xC3^3):3C2	432,509
(Q₈×C₃³)⋊₄C₂ = S₃×Q₈×C₃²	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):4C2	432,706
(Q₈×C₃³)⋊₅C₂ = C₃²×Q₈⋊₃S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):5C2	432,707
(Q₈×C₃³)⋊₆C₂ = C₃×Q₈×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):6C2	432,716
(Q₈×C₃³)⋊₇C₂ = C₃×C₁₂.₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3):7C2	432,717
(Q₈×C₃³)⋊₈C₂ = Q₈×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	216		(Q8xC3^3):8C2	432,726
(Q₈×C₃³)⋊₉C₂ = (Q₈×C₃³)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	216		(Q8xC3^3):9C2	432,727
(Q₈×C₃³)⋊₁₀C₂ = SD₁₆×C₃³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	216		(Q8xC3^3):10C2	432,518
(Q₈×C₃³)⋊₁₁C₂ = C₄○D₄×C₃³	φ: trivial image	216		(Q8xC3^3):11C2	432,733

Non-split extensions G=N.Q with N=Q₈×C₃³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₃³).₁C₂ = C₃²×C₃⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3).1C2	432,478
(Q₈×C₃³).₂C₂ = C₃×C₃²⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	144		(Q8xC3^3).2C2	432,494
(Q₈×C₃³).₃C₂ = C₃³⋊₁₅Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	432		(Q8xC3^3).3C2	432,510
(Q₈×C₃³).₄C₂ = Q₁₆×C₃³	φ: C₂/C₁ → C₂ ⊆ Out Q₈×C₃³	432		(Q8xC3^3).4C2	432,519

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