Extensions 1→N→G→Q→1 with N=C₅ and Q=D₁₀

Direct product G=N×Q with N=C₅ and Q=D₁₀

		d	ρ	Label	ID
D₅×C₁₀		20	2	D5xC10	100,14

Semidirect products G=N:Q with N=C₅ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁D₁₀ = D₅²	φ: D₁₀/D₅ → C₂ ⊆ Aut C₅	10	4+	C5:1D10	100,13
C₅⋊₂D₁₀ = C₂×C₅⋊D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₅	50		C5:2D10	100,15

Non-split extensions G=N.Q with N=C₅ and Q=D₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.D₁₀ = D₅₀	φ: D₁₀/C₁₀ → C₂ ⊆ Aut C₅	50	2+	C5.D10	100,4

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Extensions 1→N→G→Q→1 with N=C5 and Q=D10