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

Direct product G=N×Q with N=C₅ and Q=C₄×F₅

		d	ρ	Label	ID
C₂₀×F₅		80	4	C20xF5	400,137

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄×F₅) = C₅²⋊₃C₄²	φ: C₄×F₅/Dic₅ → C₄ ⊆ Aut C₅	20	8+	C5:1(C4xF5)	400,124
C₅⋊₂(C₄×F₅) = C₄×C₅⋊F₅	φ: C₄×F₅/C₂₀ → C₄ ⊆ Aut C₅	100		C5:2(C4xF5)	400,151
C₅⋊₃(C₄×F₅) = C₄×C₅²⋊C₄	φ: C₄×F₅/C₂₀ → C₄ ⊆ Aut C₅	40	4	C5:3(C4xF5)	400,158
C₅⋊₄(C₄×F₅) = F₅²	φ: C₄×F₅/F₅ → C₄ ⊆ Aut C₅	20	16+	C5:4(C4xF5)	400,205
C₅⋊₅(C₄×F₅) = C₄×D₅.D₅	φ: C₄×F₅/C₄×D₅ → C₂ ⊆ Aut C₅	80	4	C5:5(C4xF5)	400,144
C₅⋊₆(C₄×F₅) = Dic₅×F₅	φ: C₄×F₅/C₂×F₅ → C₂ ⊆ Aut C₅	80	8-	C5:6(C4xF5)	400,117

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₄×F₅) = C₄×C₂₅⋊C₄	φ: C₄×F₅/C₂₀ → C₄ ⊆ Aut C₅	100	4	C5.(C4xF5)	400,30

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