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

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

		d	ρ	Label	ID
C₅×C₅⋊C₈		40	4	C5xC5:C8	200,18

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₅⋊C₈) = C₅²⋊₄C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₅	200		C5:1(C5:C8)	200,20
C₅⋊₂(C₅⋊C₈) = C₅²⋊₅C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₅	40	4-	C5:2(C5:C8)	200,21
C₅⋊₃(C₅⋊C₈) = C₅²⋊₃C₈	φ: C₅⋊C₈/Dic₅ → C₂ ⊆ Aut C₅	40	4	C5:3(C5:C8)	200,19

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅⋊C₈) = C₂₅⋊C₈	φ: C₅⋊C₈/C₁₀ → C₄ ⊆ Aut C₅	200	4-	C5.(C5:C8)	200,3

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