Extensions 1→N→G→Q→1 with N=C₂ and Q=C₂²×C₃.A₄

Direct product G=N×Q with N=C₂ and Q=C₂²×C₃.A₄

		d	ρ	Label	ID
C₂³×C₃.A₄		72		C2^3xC3.A4	288,837

Non-split extensions G=N.Q with N=C₂ and Q=C₂²×C₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₂²×C₃.A₄) = C₂×C₄×C₃.A₄	central extension (φ=1)	72		C2.1(C2^2xC3.A4)	288,343
C₂.₂(C₂²×C₃.A₄) = D₄×C₃.A₄	central stem extension (φ=1)	36	6	C2.2(C2^2xC3.A4)	288,344
C₂.₃(C₂²×C₃.A₄) = C₂²×Q₈⋊C₉	central stem extension (φ=1)	288		C2.3(C2^2xC3.A4)	288,345
C₂.₄(C₂²×C₃.A₄) = Q₈×C₃.A₄	central stem extension (φ=1)	72	6	C2.4(C2^2xC3.A4)	288,346
C₂.₅(C₂²×C₃.A₄) = C₂×Q₈.C₁₈	central stem extension (φ=1)	144		C2.5(C2^2xC3.A4)	288,347
C₂.₆(C₂²×C₃.A₄) = 2₊¹⁺⁴⋊C₉	central stem extension (φ=1)	72	4	C2.6(C2^2xC3.A4)	288,348
C₂.₇(C₂²×C₃.A₄) = 2_-¹⁺⁴⋊C₉	central stem extension (φ=1)	144	4	C2.7(C2^2xC3.A4)	288,349

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