Extensions 1→N→G→Q→1 with N=C₅² and Q=S₃

Direct product G=N×Q with N=C₅² and Q=S₃

		d	ρ	Label	ID
S₃×C₅²		75		S3xC5^2	150,10

Semidirect products G=N:Q with N=C₅² and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊S₃ = C₅²⋊S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₅²	15	3	C5^2:S3	150,5
C₅²⋊₂S₃ = C₅×D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₅²	30	2	C5^2:2S3	150,11
C₅²⋊₃S₃ = C₅⋊D₁₅	φ: S₃/C₃ → C₂ ⊆ Aut C₅²	75		C5^2:3S3	150,12

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