Extensions 1→N→G→Q→1 with N=D₄.₉D₄ and Q=C₂

Direct product G=N×Q with N=D₄.₉D₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₄.₉D₄		32		C2xD4.9D4	128,1747

Semidirect products G=N:Q with N=D₄.₉D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₉D₄⋊₁C₂ = C₄²⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	4	D4.9D4:1C2	128,929
D₄.₉D₄⋊₂C₂ = C₄²⋊₅D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:2C2	128,931
D₄.₉D₄⋊₃C₂ = M₄(2)⋊C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:3C2	128,1751
D₄.₉D₄⋊₄C₂ = C₄².₁₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4:4C2	128,1754
D₄.₉D₄⋊₅C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	8+	D4.9D4:5C2	128,2020
D₄.₉D₄⋊₆C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4:6C2	128,2021
D₄.₉D₄⋊₇C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	4	D4.9D4:7C2	128,2022
D₄.₉D₄⋊₈C₂ = C₄².₃₁₃C₂³	φ: trivial image	16	4	D4.9D4:8C2	128,1750

Non-split extensions G=N.Q with N=D₄.₉D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₉D₄.₁C₂ = C₄².₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	16	4	D4.9D4.1C2	128,135
D₄.₉D₄.₂C₂ = C₄².₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₄.₉D₄	32	8-	D4.9D4.2C2	128,933

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