Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊D₅

Direct product G=N×Q with N=C₅ and Q=D₄⋊D₅

		d	ρ	Label	ID
C₅×D₄⋊D₅		40	4	C5xD4:D5	400,87

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊D₅) = C₅⋊D₄₀	φ: D₄⋊D₅/C₅⋊₂C₈ → C₂ ⊆ Aut C₅	40	4+	C5:1(D4:D5)	400,65
C₅⋊₂(D₄⋊D₅) = C₅²⋊₂D₈	φ: D₄⋊D₅/D₂₀ → C₂ ⊆ Aut C₅	80	4	C5:2(D4:D5)	400,64
C₅⋊₃(D₄⋊D₅) = C₅²⋊₇D₈	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200		C5:3(D4:D5)	400,103

Non-split extensions G=N.Q with N=C₅ and Q=D₄⋊D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(D₄⋊D₅) = D₄⋊D₂₅	φ: D₄⋊D₅/C₅×D₄ → C₂ ⊆ Aut C₅	200	4+	C5.(D4:D5)	400,16

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Extensions 1→N→G→Q→1 with N=C5 and Q=D4⋊D5