Extensions 1→N→G→Q→1 with N=C₂ and Q=C₁₂.₂₆D₆

Direct product G=N×Q with N=C₂ and Q=C₁₂.₂₆D₆

		d	ρ	Label	ID
C₂×C₁₂.₂₆D₆		144		C2xC12.26D6	288,1011

Non-split extensions G=N.Q with N=C₂ and Q=C₁₂.₂₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂.₁(C₁₂.₂₆D₆) = C₆².₂₃₆C₂³	central extension (φ=1)	144		C2.1(C12.26D6)	288,749
C₂.₂(C₁₂.₂₆D₆) = C₆².₂₃₇C₂³	central extension (φ=1)	144		C2.2(C12.26D6)	288,750
C₂.₃(C₁₂.₂₆D₆) = Q₈×C₃⋊Dic₃	central extension (φ=1)	288		C2.3(C12.26D6)	288,802
C₂.₄(C₁₂.₂₆D₆) = C₆².₂₃₄C₂³	central stem extension (φ=1)	288		C2.4(C12.26D6)	288,747
C₂.₅(C₁₂.₂₆D₆) = C₆².₂₃₈C₂³	central stem extension (φ=1)	144		C2.5(C12.26D6)	288,751
C₂.₆(C₁₂.₂₆D₆) = C₁₂⋊₃D₁₂	central stem extension (φ=1)	144		C2.6(C12.26D6)	288,752
C₂.₇(C₁₂.₂₆D₆) = C₆².₂₄₂C₂³	central stem extension (φ=1)	144		C2.7(C12.26D6)	288,755
C₂.₈(C₁₂.₂₆D₆) = C₆².₂₆₁C₂³	central stem extension (φ=1)	144		C2.8(C12.26D6)	288,803
C₂.₉(C₁₂.₂₆D₆) = C₆².₂₆₂C₂³	central stem extension (φ=1)	144		C2.9(C12.26D6)	288,804

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