Extensions 1→N→G→Q→1 with N=C₅² and Q=C₆

Direct product G=N×Q with N=C₅² and Q=C₆

		d	ρ	Label	ID
C₅×C₃₀		150		C5xC30	150,13

Semidirect products G=N:Q with N=C₅² and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅²⋊C₆ = C₅²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₅²	15	6+	C5^2:C6	150,6
C₅²⋊₂C₆ = C₂×C₅²⋊C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₅²	30	3	C5^2:2C6	150,7
C₅²⋊₃C₆ = D₅×C₁₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅²	30	2	C5^2:3C6	150,8
C₅²⋊₄C₆ = C₃×C₅⋊D₅	φ: C₆/C₃ → C₂ ⊆ Aut C₅²	75		C5^2:4C6	150,9

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