Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₅xA₄

Direct product G=NxQ with N=Q₈ and Q=C₅xA₄

		d	ρ	Label	ID
C₅xQ₈xA₄		120	6	C5xQ8xA4	480,1129

Semidirect products G=N:Q with N=Q₈ and Q=C₅xA₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₁(C₅xA₄) = C₅xQ₈:A₄	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Out Q₈	120	6	Q8:1(C5xA4)	480,1133
Q₈:₂(C₅xA₄) = C₅xC₂³:A₄	φ: C₅xA₄/C₂xC₁₀ → C₃ ⊆ Out Q₈	40	4	Q8:2(C5xA4)	480,1134

Non-split extensions G=N.Q with N=Q₈ and Q=C₅xA₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₅xA₄) = C₅xQ₈.A₄	φ: trivial image	120	4	Q8.(C5xA4)	480,1131

Extensions 1→N→G→Q→1 with N=Q8 and Q=C5xA4