Extensions 1→N→G→Q→1 with N=C₄²⋊₂C₂ and Q=C₁₀

Direct product G=N×Q with N=C₄²⋊₂C₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄²⋊₂C₂		160		C10xC4^2:2C2	320,1530

Semidirect products G=N:Q with N=C₄²⋊₂C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂⋊₁C₁₀ = C₅×C₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	80		C4^2:2C2:1C10	320,1540
C₄²⋊₂C₂⋊₂C₁₀ = C₅×C₂².₃₃C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:2C10	320,1541
C₄²⋊₂C₂⋊₃C₁₀ = C₅×C₂².₃₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:3C10	320,1544
C₄²⋊₂C₂⋊₄C₁₀ = C₅×C₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	80		C4^2:2C2:4C10	320,1553
C₄²⋊₂C₂⋊₅C₁₀ = C₅×C₂².₄₆C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:5C10	320,1554
C₄²⋊₂C₂⋊₆C₁₀ = C₅×C₂².₄₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:6C10	320,1555
C₄²⋊₂C₂⋊₇C₁₀ = C₅×C₂².₅₀C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:7C10	320,1558
C₄²⋊₂C₂⋊₈C₁₀ = C₅×C₂².₅₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	80		C4^2:2C2:8C10	320,1562
C₄²⋊₂C₂⋊₉C₁₀ = C₅×C₂².₅₇C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2:9C10	320,1565
C₄²⋊₂C₂⋊₁₀C₁₀ = C₅×C₂³.₃₆C₂³	φ: trivial image	160		C4^2:2C2:10C10	320,1531

Non-split extensions G=N.Q with N=C₄²⋊₂C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂C₂.C₁₀ = C₅×C₂².₃₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₄²⋊₂C₂	160		C4^2:2C2.C10	320,1543

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