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

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

		d	ρ	Label	ID
C₄×C₅⋊F₅		100		C4xC5:F5	400,151

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊F₅⋊C₄ = F₅²	φ: C₄/C₁ → C₄ ⊆ Out C₅⋊F₅	20	16+	C5:F5:C4	400,205
C₅⋊F₅⋊₂C₄ = C₅²⋊₃C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊F₅	20	8+	C5:F5:2C4	400,124

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₅⋊F₅.C₄ = C₂×C₅²⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₅⋊F₅	20	8+	C5:F5.C4	400,208

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