Extensions 1→N→G→Q→1 with N=D₄.₅D₄ and Q=C₂

Direct product G=N×Q with N=D₄.₅D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₅D₄		64		C2xD4.5D4	128,1798

Semidirect products G=N:Q with N=D₄.₅D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₅D₄⋊₁C₂ = D₈.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	4	D4.5D4:1C2	128,926
D₄.₅D₄⋊₂C₂ = D₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	64	4-	D4.5D4:2C2	128,927
D₄.₅D₄⋊₃C₂ = D₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	4	D4.5D4:3C2	128,955
D₄.₅D₄⋊₄C₂ = M₄(2).₃₈D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	8-	D4.5D4:4C2	128,1801
D₄.₅D₄⋊₅C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	8-	D4.5D4:5C2	128,2021
D₄.₅D₄⋊₆C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	4	D4.5D4:6C2	128,2022
D₄.₅D₄⋊₇C₂ = D₈○Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	32	4-	D4.5D4:7C2	128,2025
D₄.₅D₄⋊₈C₂ = M₄(2).₁₀C₂³	φ: trivial image	32	4	D4.5D4:8C2	128,1799

Non-split extensions G=N.Q with N=D₄.₅D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₅D₄.C₂ = D₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄.₅D₄	64	4-	D4.5D4.C2	128,954

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