Extensions 1→N→G→Q→1 with N=C₂³.₇D₄ and Q=C₂

Direct product G=N×Q with N=C₂³.₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³.₇D₄		32		C2xC2^3.7D4	128,1756

Semidirect products G=N:Q with N=C₂³.₇D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₇D₄⋊₁C₂ = C₄²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	16	4	C2^3.7D4:1C2	128,929
C₂³.₇D₄⋊₂C₂ = C₄².₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	16	4	C2^3.7D4:2C2	128,930
C₂³.₇D₄⋊₃C₂ = C₄²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	16	8+	C2^3.7D4:3C2	128,932
C₂³.₇D₄⋊₄C₂ = C₂⁴⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	16	8+	C2^3.7D4:4C2	128,1758
C₂³.₇D₄⋊₅C₂ = C₂³.₁₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	32	8-	C2^3.7D4:5C2	128,1760
C₂³.₇D₄⋊₆C₂ = C₂³.₇C₂⁴	φ: trivial image	16	4	C2^3.7D4:6C2	128,1757

Non-split extensions G=N.Q with N=C₂³.₇D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³.₇D₄.C₂ = C₄².₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³.₇D₄	32	8-	C2^3.7D4.C2	128,933

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