Extensions 1→N→G→Q→1 with N=C₈ and Q=C₃⋊F₅

Direct product G=N×Q with N=C₈ and Q=C₃⋊F₅

		d	ρ	Label	ID
C₈×C₃⋊F₅		120	4	C8xC3:F5	480,296

Semidirect products G=N:Q with N=C₈ and Q=C₃⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁(C₃⋊F₅) = D₅.D₂₄	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:1(C3:F5)	480,299
C₈⋊₂(C₃⋊F₅) = C₁₂₀⋊C₄	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:2(C3:F5)	480,298
C₈⋊₃(C₃⋊F₅) = C₂₄⋊F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:3(C3:F5)	480,297

Non-split extensions G=N.Q with N=C₈ and Q=C₃⋊F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₃⋊F₅) = C₂₄.₁F₅	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.1(C3:F5)	480,301
C₈.₂(C₃⋊F₅) = C₄₀.Dic₃	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.2(C3:F5)	480,300
C₈.₃(C₃⋊F₅) = C₁₂₀.C₄	φ: C₃⋊F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.3(C3:F5)	480,295
C₈.₄(C₃⋊F₅) = C₁₅⋊C₃₂	central extension (φ=1)	480	4	C8.4(C3:F5)	480,6
C₈.₅(C₃⋊F₅) = C₂₄.F₅	central extension (φ=1)	240	4	C8.5(C3:F5)	480,294

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