Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=C₂

Direct product G=N×Q with N=C₄².C₂ and Q=C₂

		d	ρ	Label	ID
C₂×C₄².C₂		64		C2xC4^2.C2	64,208

Semidirect products G=N:Q with N=C₄².C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂⋊₁C₂ = D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:1C2	64,159
C₄².C₂⋊₂C₂ = C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:2C2	64,169
C₄².C₂⋊₃C₂ = C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:3C2	64,171
C₄².C₂⋊₄C₂ = C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:4C2	64,220
C₄².C₂⋊₅C₂ = C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:5C2	64,221
C₄².C₂⋊₆C₂ = C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:6C2	64,222
C₄².C₂⋊₇C₂ = C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:7C2	64,225
C₄².C₂⋊₈C₂ = C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:8C2	64,233
C₄².C₂⋊₉C₂ = C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:9C2	64,234
C₄².C₂⋊₁₀C₂ = D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:10C2	64,235
C₄².C₂⋊₁₁C₂ = C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:11C2	64,243
C₄².C₂⋊₁₂C₂ = C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	32		C4^2.C2:12C2	64,244
C₄².C₂⋊₁₃C₂ = C₂³.₃₆C₂³	φ: trivial image	32		C4^2.C2:13C2	64,210
C₄².C₂⋊₁₄C₂ = C₂³.₃₇C₂³	φ: trivial image	32		C4^2.C2:14C2	64,214

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁C₂ = C₄².₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.1C2	64,11
C₄².C₂.₂C₂ = Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.2C2	64,160
C₄².C₂.₃C₂ = C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.3C2	64,172
C₄².C₂.₄C₂ = C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.4C2	64,180
C₄².C₂.₅C₂ = C₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.5C2	64,182
C₄².C₂.₆C₂ = Q₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.6C2	64,238
C₄².C₂.₇C₂ = C₂².₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄².C₂	64		C4^2.C2.7C2	64,245

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