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

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

		d	ρ	Label	ID
C₂×C₆×C₃.A₄		108		C2xC6xC3.A4	432,548

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂²×C₃.A₄) = C₂×S₃×C₃.A₄	φ: C₂²×C₃.A₄/C₂×C₃.A₄ → C₂ ⊆ Aut C₃	36	6	C3:(C2^2xC3.A4)	432,541

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₃.A₄) = C₂²×C₉.A₄	central extension (φ=1)	108		C3.(C2^2xC3.A4)	432,225

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