Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₅⋊₂C₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₅⋊₂C₈

		d	ρ	Label	ID
C₁₀×C₅⋊₂C₈		80		C10xC5:2C8	400,81

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₅⋊₂C₈) = C₂₀.₁₄F₅	φ: C₂×C₅⋊₂C₈/C₂₀ → C₄ ⊆ Aut C₅	80	4	C5:1(C2xC5:2C8)	400,142
C₅⋊₂(C₂×C₅⋊₂C₈) = C₂×C₅²⋊₃C₈	φ: C₂×C₅⋊₂C₈/C₂×C₁₀ → C₄ ⊆ Aut C₅	80		C5:2(C2xC5:2C8)	400,146
C₅⋊₃(C₂×C₅⋊₂C₈) = D₅×C₅⋊₂C₈	φ: C₂×C₅⋊₂C₈/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	80	4	C5:3(C2xC5:2C8)	400,60
C₅⋊₄(C₂×C₅⋊₂C₈) = C₂×C₅²⋊₇C₈	φ: C₂×C₅⋊₂C₈/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5:4(C2xC5:2C8)	400,97

Non-split extensions G=N.Q with N=C₅ and Q=C₂×C₅⋊₂C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×C₅⋊₂C₈) = C₂×C₂₅⋊₂C₈	φ: C₂×C₅⋊₂C₈/C₂×C₂₀ → C₂ ⊆ Aut C₅	400		C5.(C2xC5:2C8)	400,9

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