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

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

		d	ρ	Label	ID
C₈×F₅		40	4	C8xF5	160,66

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈⋊₁F₅ = D₅.D₈	φ: F₅/D₅ → C₂ ⊆ Aut C₈	40	4	C8:1F5	160,69
C₈⋊₂F₅ = C₄₀⋊C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₈	40	4	C8:2F5	160,68
C₈⋊₃F₅ = C₈⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₈	40	4	C8:3F5	160,67

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁F₅ = D₁₀.Q₈	φ: F₅/D₅ → C₂ ⊆ Aut C₈	80	4	C8.1F5	160,71
C₈.₂F₅ = C₄₀.C₄	φ: F₅/D₅ → C₂ ⊆ Aut C₈	80	4	C8.2F5	160,70
C₈.₃F₅ = C₈.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₈	80	4	C8.3F5	160,65
C₈.₄F₅ = C₅⋊C₃₂	central extension (φ=1)	160	4	C8.4F5	160,3
C₈.₅F₅ = D₅⋊C₁₆	central extension (φ=1)	80	4	C8.5F5	160,64

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