Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²×C₉

Direct product G=N×Q with N=C₃ and Q=C₃²×C₉

		d	ρ	Label	ID
C₃³×C₉		243		C3^3xC9	243,61

Non-split extensions G=N.Q with N=C₃ and Q=C₃²×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃²×C₉) = C₃×C₃²⋊C₉	central stem extension (φ=1)	81		C3.1(C3^2xC9)	243,32
C₃.₂(C₃²×C₉) = C₃×C₉⋊C₉	central stem extension (φ=1)	243		C3.2(C3^2xC9)	243,33
C₃.₃(C₃²×C₉) = C₉²⋊₃C₃	central stem extension (φ=1)	81		C3.3(C3^2xC9)	243,34
C₃.₄(C₃²×C₉) = C₉×He₃	central stem extension (φ=1)	81		C3.4(C3^2xC9)	243,35
C₃.₅(C₃²×C₉) = C₉×3_-¹⁺²	central stem extension (φ=1)	81		C3.5(C3^2xC9)	243,36
C₃.₆(C₃²×C₉) = C₃×C₂₇⋊C₃	central stem extension (φ=1)	81		C3.6(C3^2xC9)	243,49
C₃.₇(C₃²×C₉) = C₂₇○He₃	central stem extension (φ=1)	81	3	C3.7(C3^2xC9)	243,50

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