Extensions 1→N→G→Q→1 with N=C₈.₄Q₈ and Q=C₂

Direct product G=N×Q with N=C₈.₄Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.₄Q₈		64		C2xC8.4Q8	128,892

Semidirect products G=N:Q with N=C₈.₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.₄Q₈⋊₁C₂ = D₁₆.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	64	2	C8.4Q8:1C2	128,149
C₈.₄Q₈⋊₂C₂ = M₆(2)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4+	C8.4Q8:2C2	128,151
C₈.₄Q₈⋊₃C₂ = M₅(2).₁C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4	C8.4Q8:3C2	128,893
C₈.₄Q₈⋊₄C₂ = D₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4	C8.4Q8:4C2	128,911
C₈.₄Q₈⋊₅C₂ = D₄.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4+	C8.4Q8:5C2	128,953
C₈.₄Q₈⋊₆C₂ = D₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	64	4-	C8.4Q8:6C2	128,954
C₈.₄Q₈⋊₇C₂ = D₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4	C8.4Q8:7C2	128,955
C₈.₄Q₈⋊₈C₂ = C₈○D₁₆	φ: trivial image	32	2	C8.4Q8:8C2	128,910

Non-split extensions G=N.Q with N=C₈.₄Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.₄Q₈.₁C₂ = C₃₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	64	2	C8.4Q8.1C2	128,157
C₈.₄Q₈.₂C₂ = C₁₆.₁₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	64	4-	C8.4Q8.2C2	128,152
C₈.₄Q₈.₃C₂ = C₈.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈.₄Q₈	32	4	C8.4Q8.3C2	128,158

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