Extensions 1→N→G→Q→1 with N=C₂²≀C₂ and Q=C₁₀

Direct product G=N×Q with N=C₂²≀C₂ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂²≀C₂		80		C10xC2^2wrC2	320,1523

Semidirect products G=N:Q with N=C₂²≀C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂⋊₁C₁₀ = C₅×C₂≀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	40	4	C2^2wrC2:1C10	320,958
C₂²≀C₂⋊₂C₁₀ = C₅×C₂³⋊₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:2C10	320,1536
C₂²≀C₂⋊₃C₁₀ = C₅×C₂².₂₉C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:3C10	320,1537
C₂²≀C₂⋊₄C₁₀ = C₅×C₂².₃₂C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:4C10	320,1540
C₂²≀C₂⋊₅C₁₀ = C₅×D₄²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:5C10	320,1547
C₂²≀C₂⋊₆C₁₀ = C₅×D₄⋊₅D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:6C10	320,1548
C₂²≀C₂⋊₇C₁₀ = C₅×C₂².₅₄C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:7C10	320,1562
C₂²≀C₂⋊₈C₁₀ = C₅×C₂⁴⋊C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2:8C10	320,1563
C₂²≀C₂⋊₉C₁₀ = C₅×C₂².₁₉C₂⁴	φ: trivial image	80		C2^2wrC2:9C10	320,1527

Non-split extensions G=N.Q with N=C₂²≀C₂ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²≀C₂.₁C₁₀ = C₅×C₂≀C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	40	4	C2^2wrC2.1C10	320,156
C₂²≀C₂.₂C₁₀ = C₅×C₂².₄₅C₂⁴	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²≀C₂	80		C2^2wrC2.2C10	320,1553

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