Extensions 1→N→G→Q→1 with N=C₃ and Q=A₄xC₂xC₆

Direct product G=NxQ with N=C₃ and Q=A₄xC₂xC₆

		d	ρ	Label	ID
A₄xC₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₃ and Q=A₄xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(A₄xC₂xC₆) = S₃xC₆xA₄	φ: A₄xC₂xC₆/C₆xA₄ → C₂ ⊆ Aut C₃	36	6	C3:(A4xC2xC6)	432,763

Non-split extensions G=N.Q with N=C₃ and Q=A₄xC₂xC₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(A₄xC₂xC₆) = A₄xC₂xC₁₈	central extension (φ=1)	108		C3.1(A4xC2xC6)	432,546
C₃.₂(A₄xC₂xC₆) = C₂xC₆xC₃.A₄	central extension (φ=1)	108		C3.2(A4xC2xC6)	432,548
C₃.₃(A₄xC₂xC₆) = C₂²xC₉:A₄	central stem extension (φ=1)	108		C3.3(A4xC2xC6)	432,547
C₃.₄(A₄xC₂xC₆) = C₂²xC₃².A₄	central stem extension (φ=1)	36		C3.4(A4xC2xC6)	432,549
C₃.₅(A₄xC₂xC₆) = C₂²xC₃²:A₄	central stem extension (φ=1)	36		C3.5(A4xC2xC6)	432,550

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