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

Direct product G=NxQ with N=C₂²:C₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₂²: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 = (C₂²xC₈):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 = C₈xD₄	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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