Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅xF₅

Direct product G=NxQ with N=C₄ and Q=C₅xF₅

		d	ρ	Label	ID
C₂₀xF₅		80	4	C20xF5	400,137

Semidirect products G=N:Q with N=C₄ and Q=C₅xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₅xF₅) = C₅xC₄:F₅	φ: C₅xF₅/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4:(C5xF5)	400,138

Non-split extensions G=N.Q with N=C₄ and Q=C₅xF₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅xF₅) = C₅xC₄.F₅	φ: C₅xF₅/C₅xD₅ → C₂ ⊆ Aut C₄	80	4	C4.(C5xF5)	400,136
C₄.₂(C₅xF₅) = C₅xC₅:C₁₆	central extension (φ=1)	80	4	C4.2(C5xF5)	400,56
C₄.₃(C₅xF₅) = C₅xD₅:C₈	central extension (φ=1)	80	4	C4.3(C5xF5)	400,135

Extensions 1→N→G→Q→1 with N=C4 and Q=C5xF5