Extensions 1→N→G→Q→1 with N=C₅ and Q=C₅×C₁₀

Direct product G=N×Q with N=C₅ and Q=C₅×C₁₀

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

Semidirect products G=N:Q with N=C₅ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×C₁₀) = D₅×C₅²	φ: C₅×C₁₀/C₅² → C₂ ⊆ Aut C₅	50		C5:(C5xC10)	250,12

Non-split extensions G=N.Q with N=C₅ and Q=C₅×C₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.₁(C₅×C₁₀) = C₂×He₅	central stem extension (φ=1)	50	5	C5.1(C5xC10)	250,10
C₅.₂(C₅×C₁₀) = C₂×5_-¹⁺²	central stem extension (φ=1)	50	5	C5.2(C5xC10)	250,11

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Extensions 1→N→G→Q→1 with N=C5 and Q=C5×C10