Extensions 1→N→G→Q→1 with N=D₄.₄D₄ and Q=C₂

Direct product G=N×Q with N=D₄.₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₄D₄		32		C2xD4.4D4	128,1797

Semidirect products G=N:Q with N=D₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₄D₄⋊₁C₂ = Q₁₆.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	32	4+	D4.4D4:1C2	128,924
D₄.₄D₄⋊₂C₂ = Q₁₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	32	4	D4.4D4:2C2	128,925
D₄.₄D₄⋊₃C₂ = D₄.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	32	4+	D4.4D4:3C2	128,953
D₄.₄D₄⋊₄C₂ = M₄(2).₃₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	16	8+	D4.4D4:4C2	128,1800
D₄.₄D₄⋊₅C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	16	8+	D4.4D4:5C2	128,2020
D₄.₄D₄⋊₆C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	32	4	D4.4D4:6C2	128,2022
D₄.₄D₄⋊₇C₂ = D₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	16	4+	D4.4D4:7C2	128,2024
D₄.₄D₄⋊₈C₂ = M₄(2).₁₀C₂³	φ: trivial image	32	4	D4.4D4:8C2	128,1799

Non-split extensions G=N.Q with N=D₄.₄D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₄D₄.C₂ = D₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₄D₄	32	4	D4.4D4.C2	128,955

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