Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₅×Q₈

Direct product G=N×Q with N=C₁₀ and Q=C₅×Q₈

		d	ρ	Label	ID
Q₈×C₅×C₁₀		400		Q8xC5xC10	400,203

Semidirect products G=N:Q with N=C₁₀ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀⋊(C₅×Q₈) = C₁₀×Dic₁₀	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₁₀	80		C10:(C5xQ8)	400,181

Non-split extensions G=N.Q with N=C₁₀ and Q=C₅×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁(C₅×Q₈) = C₅×C₁₀.D₄	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₁₀	80		C10.1(C5xQ8)	400,84
C₁₀.₂(C₅×Q₈) = C₅×C₄⋊Dic₅	φ: C₅×Q₈/C₂₀ → C₂ ⊆ Aut C₁₀	80		C10.2(C5xQ8)	400,85
C₁₀.₃(C₅×Q₈) = C₄⋊C₄×C₂₅	central extension (φ=1)	400		C10.3(C5xQ8)	400,22
C₁₀.₄(C₅×Q₈) = Q₈×C₅₀	central extension (φ=1)	400		C10.4(C5xQ8)	400,47
C₁₀.₅(C₅×Q₈) = C₄⋊C₄×C₅²	central extension (φ=1)	400		C10.5(C5xQ8)	400,110

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