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		16		C2xD4:4D4	128,1746

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₄D₄⋊₁C₂ = D₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	8	4+	D4:4D4:1C2	128,928
D₄⋊₄D₄⋊₂C₂ = C₄²⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	8+	D4:4D4:2C2	128,932
D₄⋊₄D₄⋊₃C₂ = M₄(2)⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	8+	D4:4D4:3C2	128,1751
D₄⋊₄D₄⋊₄C₂ = C₄².₁₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	8+	D4:4D4:4C2	128,1753
D₄⋊₄D₄⋊₅C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	8+	D4:4D4:5C2	128,2020
D₄⋊₄D₄⋊₆C₂ = D₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	4	D4:4D4:6C2	128,2023
D₄⋊₄D₄⋊₇C₂ = D₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	4+	D4:4D4:7C2	128,2024
D₄⋊₄D₄⋊₈C₂ = C₄².₃₁₃C₂³	φ: trivial image	16	4	D4:4D4:8C2	128,1750

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₄D₄.₁C₂ = C₄².D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	4+	D4:4D4.1C2	128,134
D₄⋊₄D₄.₂C₂ = C₄².₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄⋊₄D₄	16	4	D4:4D4.2C2	128,930

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