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

Direct product G=NxQ with N=C₅ and Q=D₄:D₅

		d	ρ	Label	ID
C₅xD₄: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/C₅xD₄ → 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/C₅xD₄ → C₂ ⊆ Aut C₅	200	4+	C5.(D4:D5)	400,16

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