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

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

		d	ρ	Label	ID
C₆×C₃.A₄		54		C6xC3.A4	216,105

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃.A₄) = Q₈⋊C₂₇	central extension (φ=1)	216	2	C6.1(C3.A4)	216,3
C₆.₂(C₃.A₄) = C₂×C₉.A₄	central extension (φ=1)	54	3	C6.2(C3.A4)	216,22
C₆.₃(C₃.A₄) = C₃×Q₈⋊C₉	central extension (φ=1)	216		C6.3(C3.A4)	216,40

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