Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₂C₂		32		C2xC4^2:2C2	64,209

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁C₂ = C₂².₃₂C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	16		C4^2:2C2:1C2	64,219
C₄²⋊₂C₂⋊₂C₂ = C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:2C2	64,220
C₄²⋊₂C₂⋊₃C₂ = C₂².₃₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:3C2	64,223
C₄²⋊₂C₂⋊₄C₂ = C₂².₄₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	16		C4^2:2C2:4C2	64,232
C₄²⋊₂C₂⋊₅C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:5C2	64,233
C₄²⋊₂C₂⋊₆C₂ = C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:6C2	64,234
C₄²⋊₂C₂⋊₇C₂ = C₂².₅₀C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:7C2	64,237
C₄²⋊₂C₂⋊₈C₂ = C₂².₅₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	16		C4^2:2C2:8C2	64,241
C₄²⋊₂C₂⋊₉C₂ = C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2:9C2	64,244
C₄²⋊₂C₂⋊₁₀C₂ = C₂³.₃₆C₂³	φ: trivial image	32		C4^2:2C2:10C2	64,210

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.C₂ = C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂C₂	32		C4^2:2C2.C2	64,222

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