Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₅⋊C₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₅⋊C₈

		d	ρ	Label	ID
C₁₀×C₅⋊C₈		80		C10xC5:C8	400,139

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₅⋊C₈) = D₁₀.₂F₅	φ: C₂×C₅⋊C₈/Dic₅ → C₄ ⊆ Aut C₅	80	8-	C5:1(C2xC5:C8)	400,127
C₅⋊₂(C₂×C₅⋊C₈) = C₂×C₅²⋊₄C₈	φ: C₂×C₅⋊C₈/C₂×C₁₀ → C₄ ⊆ Aut C₅	400		C5:2(C2xC5:C8)	400,153
C₅⋊₃(C₂×C₅⋊C₈) = C₂×C₅²⋊₅C₈	φ: C₂×C₅⋊C₈/C₂×C₁₀ → C₄ ⊆ Aut C₅	80		C5:3(C2xC5:C8)	400,160
C₅⋊₄(C₂×C₅⋊C₈) = D₅×C₅⋊C₈	φ: C₂×C₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₅	80	8-	C5:4(C2xC5:C8)	400,120
C₅⋊₅(C₂×C₅⋊C₈) = C₂×C₅²⋊₃C₈	φ: C₂×C₅⋊C₈/C₂×Dic₅ → C₂ ⊆ Aut C₅	80		C5:5(C2xC5:C8)	400,146

Non-split extensions G=N.Q with N=C₅ and Q=C₂×C₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×C₅⋊C₈) = C₂×C₂₅⋊C₈	φ: C₂×C₅⋊C₈/C₂×C₁₀ → C₄ ⊆ Aut C₅	400		C5.(C2xC5:C8)	400,32

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