Extensions 1→N→G→Q→1 with N=C₂ and Q=A₄×C₃×C₆

Direct product G=N×Q with N=C₂ and Q=A₄×C₃×C₆

		d	ρ	Label	ID
A₄×C₆²		108		A4xC6^2	432,770

Non-split extensions G=N.Q with N=C₂ and Q=A₄×C₃×C₆

extension	φ:Q→Aut N	d	Label	ID
C₂.₁(A₄×C₃×C₆) = A₄×C₃×C₁₂	central extension (φ=1)	108	C2.1(A4xC3xC6)	432,697
C₂.₂(A₄×C₃×C₆) = C₃×C₆×SL₂(𝔽₃)	central stem extension (φ=1)	144	C2.2(A4xC3xC6)	432,698
C₂.₃(A₄×C₃×C₆) = C₃²×C₄.A₄	central stem extension (φ=1)	144	C2.3(A4xC3xC6)	432,699

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Extensions 1→N→G→Q→1 with N=C2 and Q=A4×C3×C6