Extensions 1→N→G→Q→1 with N=C₅ and Q=D₅⋊C₈

Direct product G=N×Q with N=C₅ and Q=D₅⋊C₈

		d	ρ	Label	ID
C₅×D₅⋊C₈		80	4	C5xD5:C8	400,135

Semidirect products G=N:Q with N=C₅ and Q=D₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₅⋊C₈) = C₂₀.F₅	φ: D₅⋊C₈/C₂₀ → C₄ ⊆ Aut C₅	200		C5:1(D5:C8)	400,149
C₅⋊₂(D₅⋊C₈) = C₂₀.₁₁F₅	φ: D₅⋊C₈/C₂₀ → C₄ ⊆ Aut C₅	40	4	C5:2(D5:C8)	400,156
C₅⋊₃(D₅⋊C₈) = D₁₀.₂F₅	φ: D₅⋊C₈/D₁₀ → C₄ ⊆ Aut C₅	80	8-	C5:3(D5:C8)	400,127
C₅⋊₄(D₅⋊C₈) = Dic₅.₄F₅	φ: D₅⋊C₈/C₅⋊C₈ → C₂ ⊆ Aut C₅	40	8+	C5:4(D5:C8)	400,121
C₅⋊₅(D₅⋊C₈) = C₂₀.₁₄F₅	φ: D₅⋊C₈/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:5(D5:C8)	400,142

Non-split extensions G=N.Q with N=C₅ and Q=D₅⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₅⋊C₈) = D₂₅⋊C₈	φ: D₅⋊C₈/C₂₀ → C₄ ⊆ Aut C₅	200	4	C5.(D5:C8)	400,28

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