Extensions 1→N→G→Q→1 with N=C₅² and Q=C₁₀

Direct product G=N×Q with N=C₅² and Q=C₁₀

		d	ρ	Label	ID
C₅²×C₁₀		250		C5^2xC10	250,15

Semidirect products G=N:Q with N=C₅² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊C₁₀ = C₅²⋊C₁₀	φ: C₁₀/C₁ → C₁₀ ⊆ Aut C₅²	25	10+	C5^2:C10	250,5
C₅²⋊₂C₁₀ = C₂×He₅	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅²	50	5	C5^2:2C10	250,10
C₅²⋊₃C₁₀ = D₅×C₅²	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅²	50		C5^2:3C10	250,12
C₅²⋊₄C₁₀ = C₅×C₅⋊D₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅²	50		C5^2:4C10	250,13

Non-split extensions G=N.Q with N=C₅² and Q=C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅².C₁₀ = C₂×5_-¹⁺²	φ: C₁₀/C₂ → C₅ ⊆ Aut C₅²	50	5	C5^2.C10	250,11
C₅².₂C₁₀ = D₅×C₂₅	φ: C₁₀/C₅ → C₂ ⊆ Aut C₅²	50	2	C5^2.2C10	250,4

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