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

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

		d	ρ	Label	ID
C₂×D₄.₈D₄		32		C2xD4.8D4	128,1748

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₈D₄⋊₁C₂ = C₄².₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	16	8+	D4.8D4:1C2	128,934
D₄.₈D₄⋊₂C₂ = C₄².₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	16	4	D4.8D4:2C2	128,936
D₄.₈D₄⋊₃C₂ = M₄(2).C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	32	8-	D4.8D4:3C2	128,1752
D₄.₈D₄⋊₄C₂ = C₄².₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	16	8+	D4.8D4:4C2	128,1753
D₄.₈D₄⋊₅C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	16	8+	D4.8D4:5C2	128,2020
D₄.₈D₄⋊₆C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	32	8-	D4.8D4:6C2	128,2021
D₄.₈D₄⋊₇C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	32	4	D4.8D4:7C2	128,2022
D₄.₈D₄⋊₈C₂ = C₄².₃₁₃C₂³	φ: trivial image	16	4	D4.8D4:8C2	128,1750

Non-split extensions G=N.Q with N=D₄.₈D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₈D₄.₁C₂ = C₄².₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	16	4	D4.8D4.1C2	128,136
D₄.₈D₄.₂C₂ = C₄².₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₈D₄	32	8-	D4.8D4.2C2	128,935

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