Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂²⋊C₄		80		C10xC2^2:C4	160,176

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₁₀ = C₅×C₂³⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	40	4	C2^2:C4:1C10	160,49
C₂²⋊C₄⋊₂C₁₀ = C₅×C₂²≀C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	40		C2^2:C4:2C10	160,181
C₂²⋊C₄⋊₃C₁₀ = C₅×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:3C10	160,182
C₂²⋊C₄⋊₄C₁₀ = C₅×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:4C10	160,184
C₂²⋊C₄⋊₅C₁₀ = C₅×C₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4:5C10	160,185
C₂²⋊C₄⋊₆C₁₀ = D₄×C₂₀	φ: trivial image	80		C2^2:C4:6C10	160,179

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₁₀ = C₅×C₂²⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.1C10	160,183
C₂²⋊C₄.₂C₁₀ = C₅×C₄²⋊₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₂²⋊C₄	80		C2^2:C4.2C10	160,187
C₂²⋊C₄.₃C₁₀ = C₅×C₄²⋊C₂	φ: trivial image	80		C2^2:C4.3C10	160,178

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