Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅:F₅

Direct product G=NxQ with N=C₄ and Q=C₅:F₅

		d	ρ	Label	ID
C₄xC₅:F₅		100		C4xC5:F5	400,151

Semidirect products G=N:Q with N=C₄ and Q=C₅:F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₅:F₅) = C₂₀:F₅	φ: C₅:F₅/C₅:D₅ → C₂ ⊆ Aut C₄	100		C4:(C5:F5)	400,152

Non-split extensions G=N.Q with N=C₄ and Q=C₅:F₅

extension	φ:Q→Aut N	d	Label	ID
C₄.(C₅:F₅) = C₅²:₇M₄(2)	φ: C₅:F₅/C₅:D₅ → C₂ ⊆ Aut C₄	200	C4.(C5:F5)	400,150
C₄.₂(C₅:F₅) = C₅²:₄C₁₆	central extension (φ=1)	400	C4.2(C5:F5)	400,58
C₄.₃(C₅:F₅) = C₂₀.F₅	central extension (φ=1)	200	C4.3(C5:F5)	400,149

Extensions 1→N→G→Q→1 with N=C4 and Q=C5:F5