Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂²⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊C₈		32		C2xC2^2:C8	64,87

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁C₂ = C₂³⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8:1C2	64,4
C₂²⋊C₈⋊₂C₂ = C₂².SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8:2C2	64,8
C₂²⋊C₈⋊₃C₂ = C₂²⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8:3C2	64,128
C₂²⋊C₈⋊₄C₂ = C₂².D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:4C2	64,161
C₂²⋊C₈⋊₅C₂ = D₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:5C2	64,130
C₂²⋊C₈⋊₆C₂ = D₄.₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:6C2	64,133
C₂²⋊C₈⋊₇C₂ = C₂³.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:7C2	64,163
C₂²⋊C₈⋊₈C₂ = Q₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:8C2	64,129
C₂²⋊C₈⋊₉C₂ = C₂²⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8:9C2	64,131
C₂²⋊C₈⋊₁₀C₂ = C₂³.₄₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:10C2	64,162
C₂²⋊C₈⋊₁₁C₂ = C₂⁴.₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8:11C2	64,88
C₂²⋊C₈⋊₁₂C₂ = (C₂²×C₈)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:12C2	64,89
C₂²⋊C₈⋊₁₃C₂ = C₈⋊₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:13C2	64,116
C₂²⋊C₈⋊₁₄C₂ = C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8:14C2	64,117
C₂²⋊C₈⋊₁₅C₂ = C₈×D₄	φ: trivial image	32		C2^2:C8:15C2	64,115

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁C₂ = C₂².M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.1C2	64,5
C₂²⋊C₈.₂C₂ = C₂³.₃₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	16		C2^2:C8.2C2	64,9
C₂²⋊C₈.₃C₂ = C₂²⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.3C2	64,132
C₂²⋊C₈.₄C₂ = C₂³.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.4C2	64,165
C₂²⋊C₈.₅C₂ = C₂³.₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.5C2	64,166
C₂²⋊C₈.₆C₂ = C₂³.₄₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.6C2	64,164
C₂²⋊C₈.₇C₂ = C₄².₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.7C2	64,113
C₂²⋊C₈.₈C₂ = C₄².₇C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊C₈	32		C2^2:C8.8C2	64,114
C₂²⋊C₈.₉C₂ = C₄².₁₂C₄	φ: trivial image	32		C2^2:C8.9C2	64,112

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