Extensions 1→N→G→Q→1 with N=C₂³⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=C₂³⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₂³⋊C₄		80		C10xC2^3:C4	320,910

Semidirect products G=N:Q with N=C₂³⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄⋊₁C₁₀ = C₅×C₂≀C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	4	C2^3:C4:1C10	320,156
C₂³⋊C₄⋊₂C₁₀ = C₅×C₄²⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	4	C2^3:C4:2C10	320,158
C₂³⋊C₄⋊₃C₁₀ = C₅×C₂≀C₂²	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	40	4	C2^3:C4:3C10	320,958
C₂³⋊C₄⋊₄C₁₀ = C₅×C₂³.₇D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	4	C2^3:C4:4C10	320,959
C₂³⋊C₄⋊₅C₁₀ = C₅×C₂³.C₂³	φ: trivial image	80	4	C2^3:C4:5C10	320,911

Non-split extensions G=N.Q with N=C₂³⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊C₄.₁C₁₀ = C₅×C₂³.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	4	C2^3:C4.1C10	320,157
C₂³⋊C₄.₂C₁₀ = C₅×C₄²⋊₃C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₂³⋊C₄	80	4	C2^3:C4.2C10	320,159

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