Extensions 1→N→G→Q→1 with N=C₂³×C₆ and Q=C₃

Direct product G=N×Q with N=C₂³×C₆ and Q=C₃

		d	ρ	Label	ID
C₂²×C₆²		144		C2^2xC6^2	144,197

Semidirect products G=N:Q with N=C₂³×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆)⋊₁C₃ = A₄×C₂×C₆	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₆	36		(C2^3xC6):1C3	144,193
(C₂³×C₆)⋊₂C₃ = C₃×C₂²⋊A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₆	36		(C2^3xC6):2C3	144,194

Non-split extensions G=N.Q with N=C₂³×C₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂³×C₆).₁C₃ = C₂²×C₃.A₄	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₆	36		(C2^3xC6).1C3	144,110
(C₂³×C₆).₂C₃ = C₂⁴⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₂³×C₆	36		(C2^3xC6).2C3	144,111

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Extensions 1→N→G→Q→1 with N=C23×C6 and Q=C3