Extensions 1→N→G→Q→1 with N=C₅ and Q=F₅

Direct product G=N×Q with N=C₅ and Q=F₅

		d	ρ	Label	ID
C₅×F₅		20	4	C5xF5	100,9

Semidirect products G=N:Q with N=C₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁F₅ = C₅⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₅	25		C5:1F5	100,11
C₅⋊₂F₅ = C₅²⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₅	10	4+	C5:2F5	100,12
C₅⋊₃F₅ = D₅.D₅	φ: F₅/D₅ → C₂ ⊆ Aut C₅	20	4	C5:3F5	100,10

Non-split extensions G=N.Q with N=C₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.F₅ = C₂₅⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₅	25	4+	C5.F5	100,3

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Extensions 1→N→G→Q→1 with N=C5 and Q=F5