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
C₃×C₃²⋊C₉		81		C3xC3^2:C9	243,32

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.C₉²	central extension (φ=1)	243		C3.1(C3^2:C9)	243,2
C₃.₂(C₃²⋊C₉) = C₃²⋊C₂₇	central extension (φ=1)	81		C3.2(C3^2:C9)	243,12
C₃.₃(C₃²⋊C₉) = C₃³⋊C₉	central stem extension (φ=1)	27		C3.3(C3^2:C9)	243,13
C₃.₄(C₃²⋊C₉) = C₃².₁₉He₃	central stem extension (φ=1)	81		C3.4(C3^2:C9)	243,14
C₃.₅(C₃²⋊C₉) = C₃².₂₀He₃	central stem extension (φ=1)	81		C3.5(C3^2:C9)	243,15
C₃.₆(C₃²⋊C₉) = C₉.₄He₃	central stem extension (φ=1)	27	3	C3.6(C3^2:C9)	243,16
C₃.₇(C₃²⋊C₉) = He₃⋊C₉	central stem extension (φ=1)	81		C3.7(C3^2:C9)	243,17
C₃.₈(C₃²⋊C₉) = 3_-¹⁺²⋊C₉	central stem extension (φ=1)	81		C3.8(C3^2:C9)	243,18
C₃.₉(C₃²⋊C₉) = C₉.₅He₃	central stem extension (φ=1)	81	3	C3.9(C3^2:C9)	243,19
C₃.₁₀(C₃²⋊C₉) = C₉.₆He₃	central stem extension (φ=1)	81	3	C3.10(C3^2:C9)	243,20

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