Extensions 1→N→G→Q→1 with N=C₈.₂₆D₄ and Q=C₂

Direct product G=N×Q with N=C₈.₂₆D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈.₂₆D₄		32		C2xC8.26D4	128,1686

Semidirect products G=N:Q with N=C₈.₂₆D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.₂₆D₄⋊₁C₂ = D₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	16	8+	C8.26D4:1C2	128,913
C₈.₂₆D₄⋊₂C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	16	4	C8.26D4:2C2	128,1688
C₈.₂₆D₄⋊₃C₂ = M₄(2)○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	32	4	C8.26D4:3C2	128,1689
C₈.₂₆D₄⋊₄C₂ = D₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	16	8+	C8.26D4:4C2	128,2020
C₈.₂₆D₄⋊₅C₂ = D₈.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	32	8-	C8.26D4:5C2	128,2021
C₈.₂₆D₄⋊₆C₂ = C₄².₂₈₃C₂³	φ: trivial image	32	4	C8.26D4:6C2	128,1687

Non-split extensions G=N.Q with N=C₈.₂₆D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈.₂₆D₄.C₂ = Q₃₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈.₂₆D₄	32	8-	C8.26D4.C2	128,912

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