Extensions 1→N→G→Q→1 with N=C₅ and Q=C₁₀²

Direct product G=N×Q with N=C₅ and Q=C₁₀²

		d	ρ	Label	ID
C₅×C₁₀²		500		C5xC10^2	500,56

Semidirect products G=N:Q with N=C₅ and Q=C₁₀²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₁₀² = D₅×C₅×C₁₀	φ: C₁₀²/C₅×C₁₀ → C₂ ⊆ Aut C₅	100		C5:C10^2	500,53

Non-split extensions G=N.Q with N=C₅ and Q=C₁₀²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.₁C₁₀² = C₂²×He₅	central stem extension (φ=1)	100		C5.1C10^2	500,35
C₅.₂C₁₀² = C₂²×5_-¹⁺²	central stem extension (φ=1)	100		C5.2C10^2	500,36

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Extensions 1→N→G→Q→1 with N=C5 and Q=C102