Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅xD₈

Direct product G=NxQ with N=C₅ and Q=C₅xD₈

		d	ρ	Label	ID
D₈xC₅²		200		D8xC5^2	400,113

Semidirect products G=N:Q with N=C₅ and Q=C₅xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅:₁(C₅xD₈) = C₅xD₄₀	φ: C₅xD₈/C₄₀ → C₂ ⊆ Aut C₅	80	2	C5:1(C5xD8)	400,79
C₅:₂(C₅xD₈) = C₅xD₄:D₅	φ: C₅xD₈/C₅xD₄ → C₂ ⊆ Aut C₅	40	4	C5:2(C5xD8)	400,87

Non-split extensions G=N.Q with N=C₅ and Q=C₅xD₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅xD₈) = D₈xC₂₅	central extension (φ=1)	200	2	C5.(C5xD8)	400,25

Extensions 1→N→G→Q→1 with N=C5 and Q=C5xD8