Extensions 1→N→G→Q→1 with N=D₄○D₈ and Q=C₂

Direct product G=N×Q with N=D₄○D₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₄○D₈		32		C2xD4oD8	128,2313

Semidirect products G=N:Q with N=D₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄○D₈⋊₁C₂ = Q₁₆.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	32	4+	D4oD8:1C2	128,924
D₄○D₈⋊₂C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	16	8+	D4oD8:2C2	128,2020
D₄○D₈⋊₃C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	32	4	D4oD8:3C2	128,2022
D₄○D₈⋊₄C₂ = D₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	16	4+	D4oD8:4C2	128,2024
D₄○D₈⋊₅C₂ = D₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	32	4+	D4oD8:5C2	128,2147
D₄○D₈⋊₆C₂ = D₄○SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	32	4	D4oD8:6C2	128,2148
D₄○D₈⋊₇C₂ = D₈⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	16	8+	D4oD8:7C2	128,2317
D₄○D₈⋊₈C₂ = C₈.C₂⁴	φ: trivial image	32	4	D4oD8:8C2	128,2316

Non-split extensions G=N.Q with N=D₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄○D₈.C₂ = D₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄○D₈	32	4	D4oD8.C2	128,926

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