Extensions 1→N→G→Q→1 with N=C₄ and Q=F₅

Direct product G=N×Q with N=C₄ and Q=F₅

		d	ρ	Label	ID
C₄×F₅		20	4	C4xF5	80,30

Semidirect products G=N:Q with N=C₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊F₅ = C₄⋊F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄	20	4	C4:F5	80,31

Non-split extensions G=N.Q with N=C₄ and Q=F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.F₅ = C₄.F₅	φ: F₅/D₅ → C₂ ⊆ Aut C₄	40	4	C4.F5	80,29
C₄.₂F₅ = C₅⋊C₁₆	central extension (φ=1)	80	4	C4.2F5	80,3
C₄.₃F₅ = D₅⋊C₈	central extension (φ=1)	40	4	C4.3F5	80,28

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Extensions 1→N→G→Q→1 with N=C4 and Q=F5