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

Direct product G=N×Q with N=Q₈ and Q=C₃×F₅

		d	ρ	Label	ID
C₃×Q₈×F₅		120	8	C3xQ8xF5	480,1056

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃×F₅) = F₅×SL₂(𝔽₃)	φ: C₃×F₅/F₅ → C₃ ⊆ Out Q₈	40	8-	Q8:(C3xF5)	480,965
Q₈⋊₂(C₃×F₅) = C₃×Q₈⋊F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Out Q₈	120	8	Q8:2(C3xF5)	480,289
Q₈⋊₃(C₃×F₅) = C₃×Q₈⋊₂F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Out Q₈	120	8	Q8:3(C3xF5)	480,290

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) = SL₂(𝔽₃).F₅	φ: C₃×F₅/F₅ → C₃ ⊆ Out Q₈	160	8+	Q8.(C3xF5)	480,964
Q₈.₂(C₃×F₅) = C₃×Q₈.F₅	φ: trivial image	240	8	Q8.2(C3xF5)	480,1055

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