Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×A₄

Direct product G=N×Q with N=C₃ and Q=C₂²×A₄

		d	ρ	Label	ID
A₄×C₂×C₆		36		A4xC2xC6	144,193

Semidirect products G=N:Q with N=C₃ and Q=C₂²×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×A₄) = C₂×S₃×A₄	φ: C₂²×A₄/C₂×A₄ → C₂ ⊆ Aut C₃	18	6+	C3:(C2^2xA4)	144,190

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×A₄) = C₂²×C₃.A₄	central extension (φ=1)	36		C3.(C2^2xA4)	144,110

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×A4