Extensions 1→N→G→Q→1 with N=D₄×C₃³ and Q=C₂

Direct product G=N×Q with N=D₄×C₃³ and Q=C₂

		d	ρ	Label	ID
D₄×C₃²×C₆		216		D4xC3^2xC6	432,731

Semidirect products G=N:Q with N=D₄×C₃³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃³)⋊₁C₂ = C₃²×D₄⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):1C2	432,475
(D₄×C₃³)⋊₂C₂ = C₃×C₃²⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):2C2	432,491
(D₄×C₃³)⋊₃C₂ = C₃³⋊₁₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	216		(D4xC3^3):3C2	432,507
(D₄×C₃³)⋊₄C₂ = S₃×D₄×C₃²	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):4C2	432,704
(D₄×C₃³)⋊₅C₂ = C₃²×D₄⋊₂S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):5C2	432,705
(D₄×C₃³)⋊₆C₂ = C₃×D₄×C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):6C2	432,714
(D₄×C₃³)⋊₇C₂ = C₃×C₁₂.D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3):7C2	432,715
(D₄×C₃³)⋊₈C₂ = D₄×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	108		(D4xC3^3):8C2	432,724
(D₄×C₃³)⋊₉C₂ = C₆².₁₀₀D₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	216		(D4xC3^3):9C2	432,725
(D₄×C₃³)⋊₁₀C₂ = D₈×C₃³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	216		(D4xC3^3):10C2	432,517
(D₄×C₃³)⋊₁₁C₂ = C₄○D₄×C₃³	φ: trivial image	216		(D4xC3^3):11C2	432,733

Non-split extensions G=N.Q with N=D₄×C₃³ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₃³).₁C₂ = C₃²×D₄.S₃	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3).1C2	432,476
(D₄×C₃³).₂C₂ = C₃×C₃²⋊₉SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	72		(D4xC3^3).2C2	432,492
(D₄×C₃³).₃C₂ = C₃³⋊₂₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	216		(D4xC3^3).3C2	432,508
(D₄×C₃³).₄C₂ = SD₁₆×C₃³	φ: C₂/C₁ → C₂ ⊆ Out D₄×C₃³	216		(D4xC3^3).4C2	432,518

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