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

Direct product G=NxQ with N=C₅ and Q=C₅:C₈

		d	ρ	Label	ID
C₅xC₅: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

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