Extensions 1→N→G→Q→1 with N=C₂₅ and Q=F₅

Direct product G=N×Q with N=C₂₅ and Q=F₅

		d	ρ	Label	ID
F₅×C₂₅		100	4	F5xC25	500,15

Semidirect products G=N:Q with N=C₂₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅⋊₁F₅ = C₂₅⋊F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂₅	125		C25:1F5	500,22
C₂₅⋊₂F₅ = C₂₅⋊₂F₅	φ: F₅/C₅ → C₄ ⊆ Aut C₂₅	50	4+	C25:2F5	500,24
C₂₅⋊₃F₅ = D₅.D₂₅	φ: F₅/D₅ → C₂ ⊆ Aut C₂₅	100	4	C25:3F5	500,19

Non-split extensions G=N.Q with N=C₂₅ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₅.F₅ = C₁₂₅⋊C₄	φ: F₅/C₅ → C₄ ⊆ Aut C₂₅	125	4+	C25.F5	500,3

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Extensions 1→N→G→Q→1 with N=C25 and Q=F5