Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄.A₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₄.A₄

		d	ρ	Label	ID
C₃²xC₄.A₄		144		C3^2xC4.A4	432,699

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₃xC₄.A₄) = C₃xDic₃.A₄	φ: C₃xC₄.A₄/C₃xSL₂(F₃) → C₂ ⊆ Aut C₃	48	4	C3:(C3xC4.A4)	432,622

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₄.A₄) = C₉xC₄.A₄	central extension (φ=1)	144	2	C3.1(C3xC4.A4)	432,329
C₃.₂(C₃xC₄.A₄) = C₃xQ₈.C₁₈	central extension (φ=1)	216		C3.2(C3xC4.A4)	432,337
C₃.₃(C₃xC₄.A₄) = C₃₆.A₄	central stem extension (φ=1)	144	6	C3.3(C3xC4.A4)	432,330
C₃.₄(C₃xC₄.A₄) = Q₈:C₉:₄C₆	central stem extension (φ=1)	72	6	C3.4(C3xC4.A4)	432,338
C₃.₅(C₃xC₄.A₄) = C₄oD₄:He₃	central stem extension (φ=1)	72	6	C3.5(C3xC4.A4)	432,339

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