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
F₅×C₂₄		120	4	F5xC24	480,271

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) = C₃×D₅.D₈	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:1(C3xF5)	480,274
C₈⋊₂(C₃×F₅) = C₃×C₄₀⋊C₄	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:2(C3xF5)	480,273
C₈⋊₃(C₃×F₅) = C₃×C₈⋊F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	120	4	C8:3(C3xF5)	480,272

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) = C₃×D₁₀.Q₈	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.1(C3xF5)	480,276
C₈.₂(C₃×F₅) = C₃×C₄₀.C₄	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.2(C3xF5)	480,275
C₈.₃(C₃×F₅) = C₃×C₈.F₅	φ: C₃×F₅/C₃×D₅ → C₂ ⊆ Aut C₈	240	4	C8.3(C3xF5)	480,270
C₈.₄(C₃×F₅) = C₃×C₅⋊C₃₂	central extension (φ=1)	480	4	C8.4(C3xF5)	480,5
C₈.₅(C₃×F₅) = C₃×D₅⋊C₁₆	central extension (φ=1)	240	4	C8.5(C3xF5)	480,269

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