Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₃:F₅

Direct product G=NxQ with N=Q₈ and Q=C₃:F₅

		d	ρ	Label	ID
Q₈xC₃:F₅		120	8	Q8xC3:F5	480,1069

Semidirect products G=N:Q with N=Q₈ and Q=C₃:F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:(C₃:F₅) = D₁₀.S₄	φ: C₃:F₅/D₅ → S₃ ⊆ Out Q₈	40	8-	Q8:(C3:F5)	480,962
Q₈:₂(C₃:F₅) = Dic₁₀:₂Dic₃	φ: C₃:F₅/C₃xD₅ → C₂ ⊆ Out Q₈	120	8	Q8:2(C3:F5)	480,314
Q₈:₃(C₃:F₅) = D₂₀:₂Dic₃	φ: C₃:F₅/C₃xD₅ → C₂ ⊆ Out Q₈	120	8	Q8:3(C3:F5)	480,315

Non-split extensions G=N.Q with N=Q₈ and Q=C₃:F₅

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃:F₅) = C₅:U₂(F₃)	φ: C₃:F₅/D₅ → S₃ ⊆ Out Q₈	120	8+	Q8.(C3:F5)	480,961
Q₈.₂(C₃:F₅) = D₂₀.Dic₃	φ: trivial image	240	8	Q8.2(C3:F5)	480,1068

Extensions 1→N→G→Q→1 with N=Q8 and Q=C3:F5