Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×F₅

Direct product G=N×Q with N=C₅ and Q=C₂×F₅

		d	ρ	Label	ID
C₁₀×F₅		40	4	C10xF5	200,45

Semidirect products G=N:Q with N=C₅ and Q=C₂×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×F₅) = D₅⋊F₅	φ: C₂×F₅/D₅ → C₄ ⊆ Aut C₅	10	8+	C5:1(C2xF5)	200,42
C₅⋊₂(C₂×F₅) = C₂×C₅⋊F₅	φ: C₂×F₅/C₁₀ → C₄ ⊆ Aut C₅	50		C5:2(C2xF5)	200,47
C₅⋊₃(C₂×F₅) = C₂×C₅²⋊C₄	φ: C₂×F₅/C₁₀ → C₄ ⊆ Aut C₅	20	4+	C5:3(C2xF5)	200,48
C₅⋊₄(C₂×F₅) = D₅×F₅	φ: C₂×F₅/F₅ → C₂ ⊆ Aut C₅	20	8+	C5:4(C2xF5)	200,41
C₅⋊₅(C₂×F₅) = C₂×D₅.D₅	φ: C₂×F₅/D₁₀ → C₂ ⊆ Aut C₅	40	4	C5:5(C2xF5)	200,46

Non-split extensions G=N.Q with N=C₅ and Q=C₂×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₂×F₅) = C₂×C₂₅⋊C₄	φ: C₂×F₅/C₁₀ → C₄ ⊆ Aut C₅	50	4+	C5.(C2xF5)	200,12

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