Extensions 1→N→G→Q→1 with N=C₃³⋊₈D₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₈D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₈D₄		72		C2xC3^3:8D4	432,682

Semidirect products G=N:Q with N=C₃³⋊₈D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₈D₄⋊₁C₂ = S₃×C₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	72		C3^3:8D4:1C2	432,671
C₃³⋊₈D₄⋊₂C₂ = C₆².₉₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	72		C3^3:8D4:2C2	432,678
C₃³⋊₈D₄⋊₃C₂ = S₃×C₃⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	24	8+	C3^3:8D4:3C2	432,598
C₃³⋊₈D₄⋊₄C₂ = C₃⋊S₃⋊₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	24	8+	C3^3:8D4:4C2	432,602
C₃³⋊₈D₄⋊₅C₂ = D₆.₃S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	24	8+	C3^3:8D4:5C2	432,609
C₃³⋊₈D₄⋊₆C₂ = Dic₃.S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	24	8+	C3^3:8D4:6C2	432,612
C₃³⋊₈D₄⋊₇C₂ = C₁₂.₃₉S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	72		C3^3:8D4:7C2	432,664
C₃³⋊₈D₄⋊₈C₂ = C₁₂.₄₀S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	72		C3^3:8D4:8C2	432,665
C₃³⋊₈D₄⋊₉C₂ = C₃⋊S₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	72		C3^3:8D4:9C2	432,685
C₃³⋊₈D₄⋊₁₀C₂ = C₆²⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₈D₄	36		C3^3:8D4:10C2	432,686
C₃³⋊₈D₄⋊₁₁C₂ = C₁₂.₇₃S₃²	φ: trivial image	72		C3^3:8D4:11C2	432,667

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