Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³×A₄

Direct product G=N×Q with N=C₃ and Q=C₂³×A₄

		d	ρ	Label	ID
A₄×C₂²×C₆		72		A4xC2^2xC6	288,1041

Semidirect products G=N:Q with N=C₃ and Q=C₂³×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂³×A₄) = C₂²×S₃×A₄	φ: C₂³×A₄/C₂²×A₄ → C₂ ⊆ Aut C₃	36		C3:(C2^3xA4)	288,1037

Non-split extensions G=N.Q with N=C₃ and Q=C₂³×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³×A₄) = C₂³×C₃.A₄	central extension (φ=1)	72		C3.(C2^3xA4)	288,837

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Extensions 1→N→G→Q→1 with N=C3 and Q=C23×A4