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

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

		d	ρ	Label	ID
C₂×C₄₀		80		C2xC40	80,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×C₈) = D₅⋊C₈	φ: C₂×C₈/C₄ → C₄ ⊆ Aut C₅	40	4	C5:1(C2xC8)	80,28
C₅⋊₂(C₂×C₈) = C₂×C₅⋊C₈	φ: C₂×C₈/C₂² → C₄ ⊆ Aut C₅	80		C5:2(C2xC8)	80,32
C₅⋊₃(C₂×C₈) = C₈×D₅	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₅	40	2	C5:3(C2xC8)	80,4
C₅⋊₄(C₂×C₈) = C₂×C₅⋊₂C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₅	80		C5:4(C2xC8)	80,9

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