Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄.A₄

Direct product G=N×Q with N=C₃ and Q=C₃×C₄.A₄

		d	ρ	Label	ID
C₃²×C₄.A₄		144		C3^2xC4.A4	432,699

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₄.A₄) = C₃×Dic₃.A₄	φ: C₃×C₄.A₄/C₃×SL₂(𝔽₃) → C₂ ⊆ Aut C₃	48	4	C3:(C3xC4.A4)	432,622

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×C₄.A₄) = C₉×C₄.A₄	central extension (φ=1)	144	2	C3.1(C3xC4.A4)	432,329
C₃.₂(C₃×C₄.A₄) = C₃×Q₈.C₁₈	central extension (φ=1)	216		C3.2(C3xC4.A4)	432,337
C₃.₃(C₃×C₄.A₄) = C₃₆.A₄	central stem extension (φ=1)	144	6	C3.3(C3xC4.A4)	432,330
C₃.₄(C₃×C₄.A₄) = Q₈⋊C₉⋊₄C₆	central stem extension (φ=1)	72	6	C3.4(C3xC4.A4)	432,338
C₃.₅(C₃×C₄.A₄) = C₄○D₄⋊He₃	central stem extension (φ=1)	72	6	C3.5(C3xC4.A4)	432,339

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