Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₃

Direct product G=N×Q with N=C₃²×C₆ and Q=C₃

		d	ρ	Label	ID
C₃³×C₆		162		C3^3xC6	162,55

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁C₃ = C₂×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₆	18	3	(C3^2xC6):1C3	162,28
(C₃²×C₆)⋊₂C₃ = C₆×He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₆	54		(C3^2xC6):2C3	162,48

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁C₃ = C₂×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₆	54		(C3^2xC6).1C3	162,24
(C₃²×C₆).₂C₃ = C₆×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃²×C₆	54		(C3^2xC6).2C3	162,49

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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C3