Extensions 1→N→G→Q→1 with N=D₄.₁₀D₄ and Q=C₂

Direct product G=N×Q with N=D₄.₁₀D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₁₀D₄		32		C2xD4.10D4	128,1749

Semidirect products G=N:Q with N=D₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₄⋊₁C₂ = C₄².₁₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	32	8-	D4.10D4:1C2	128,935
D₄.₁₀D₄⋊₂C₂ = C₄².₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	16	4	D4.10D4:2C2	128,936
D₄.₁₀D₄⋊₃C₂ = M₄(2).C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	32	8-	D4.10D4:3C2	128,1752
D₄.₁₀D₄⋊₄C₂ = C₄².₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	32	8-	D4.10D4:4C2	128,1754
D₄.₁₀D₄⋊₅C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	32	8-	D4.10D4:5C2	128,2021
D₄.₁₀D₄⋊₆C₂ = D₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	16	4	D4.10D4:6C2	128,2023
D₄.₁₀D₄⋊₇C₂ = D₈○Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	32	4-	D4.10D4:7C2	128,2025
D₄.₁₀D₄⋊₈C₂ = C₄².₃₁₃C₂³	φ: trivial image	16	4	D4.10D4:8C2	128,1750

Non-split extensions G=N.Q with N=D₄.₁₀D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁₀D₄.₁C₂ = C₄².₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	16	4-	D4.10D4.1C2	128,137
D₄.₁₀D₄.₂C₂ = Q₈≀C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄.₁₀D₄	16	4-	D4.10D4.2C2	128,937

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