Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂²⋊A₄

Direct product G=N×Q with N=C₆ and Q=C₂²⋊A₄

		d	ρ	Label	ID
C₆×C₂²⋊A₄		36		C6xC2^2:A4	288,1042

Non-split extensions G=N.Q with N=C₆ and Q=C₂²⋊A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₂²⋊A₄) = C₂²⋊(Q₈⋊C₉)	central extension (φ=1)	72	6	C6.1(C2^2:A4)	288,350
C₆.₂(C₂²⋊A₄) = 2₊¹⁺⁴⋊₂C₉	central extension (φ=1)	72	4	C6.2(C2^2:A4)	288,351
C₆.₃(C₂²⋊A₄) = C₂×C₂⁴⋊C₉	central extension (φ=1)	36		C6.3(C2^2:A4)	288,838
C₆.₄(C₂²⋊A₄) = C₃×Q₈⋊A₄	central extension (φ=1)	72	6	C6.4(C2^2:A4)	288,986
C₆.₅(C₂²⋊A₄) = C₃×C₂³⋊A₄	central extension (φ=1)	24	4	C6.5(C2^2:A4)	288,987

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