Extensions 1→N→G→Q→1 with N=C₁₄ and Q=F₅

Direct product G=N×Q with N=C₁₄ and Q=F₅

		d	ρ	Label	ID
C₁₄×F₅		70	4	C14xF5	280,34

Semidirect products G=N:Q with N=C₁₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄⋊F₅ = C₂×C₇⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₁₄	70	4	C14:F5	280,35

Non-split extensions G=N.Q with N=C₁₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₄.F₅ = C₃₅⋊C₈	φ: F₅/D₅ → C₂ ⊆ Aut C₁₄	280	4	C14.F5	280,6
C₁₄.₂F₅ = C₇×C₅⋊C₈	central extension (φ=1)	280	4	C14.2F5	280,5

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Extensions 1→N→G→Q→1 with N=C14 and Q=F5