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
Q₈×C₃⋊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/C₃×D₅ → C₂ ⊆ Out Q₈	120	8	Q8:2(C3:F5)	480,314
Q₈⋊₃(C₃⋊F₅) = D₂₀⋊₂Dic₃	φ: C₃⋊F₅/C₃×D₅ → 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

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