Extensions 1→N→G→Q→1 with N=C₈○D₈ and Q=C₂

Direct product G=N×Q with N=C₈○D₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₈○D₈		32		C2xC8oD8	128,1685

Semidirect products G=N:Q with N=C₈○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₈⋊₁C₂ = C₈○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	2	C8oD8:1C2	128,910
C₈○D₈⋊₂C₂ = D₁₆⋊₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8:2C2	128,911
C₈○D₈⋊₃C₂ = C₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8:3C2	128,944
C₈○D₈⋊₄C₂ = D₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4+	C8oD8:4C2	128,945
C₈○D₈⋊₅C₂ = C₄².₂₈₃C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8:5C2	128,1687
C₈○D₈⋊₆C₂ = M₄(2).₅₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4	C8oD8:6C2	128,1688
C₈○D₈⋊₇C₂ = M₄(2)○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8:7C2	128,1689
C₈○D₈⋊₈C₂ = D₈○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8:8C2	128,2022
C₈○D₈⋊₉C₂ = D₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4	C8oD8:9C2	128,2023
C₈○D₈⋊₁₀C₂ = D₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4+	C8oD8:10C2	128,2024
C₈○D₈⋊₁₁C₂ = D₈○Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4-	C8oD8:11C2	128,2025

Non-split extensions G=N.Q with N=C₈○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₈.₁C₂ = C₈≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	2	C8oD8.1C2	128,67
C₈○D₈.₂C₂ = C₈.₃₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4	C8oD8.2C2	128,68
C₈○D₈.₃C₂ = D₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8.3C2	128,903
C₈○D₈.₄C₂ = C₈.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4-	C8oD8.4C2	128,946
C₈○D₈.₅C₂ = D₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	16	4	C8oD8.5C2	128,962
C₈○D₈.₆C₂ = D₈.₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₈	32	4	C8oD8.6C2	128,963
C₈○D₈.₇C₂ = C₁₆○D₈	φ: trivial image	32	2	C8oD8.7C2	128,902

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