Extensions 1→N→G→Q→1 with N=C₃ and Q=C₉○He₃

Direct product G=N×Q with N=C₃ and Q=C₉○He₃

		d	ρ	Label	ID
C₃×C₉○He₃		81		C3xC9oHe3	243,64

Non-split extensions G=N.Q with N=C₃ and Q=C₉○He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₉○He₃) = C₉²⋊₃C₃	central extension (φ=1)	81		C3.1(C9oHe3)	243,34
C₃.₂(C₉○He₃) = C₉×He₃	central extension (φ=1)	81		C3.2(C9oHe3)	243,35
C₃.₃(C₉○He₃) = C₉×3_-¹⁺²	central extension (φ=1)	81		C3.3(C9oHe3)	243,36
C₃.₄(C₉○He₃) = C₉⋊He₃	central stem extension (φ=1)	81		C3.4(C9oHe3)	243,39
C₃.₅(C₉○He₃) = C₃².₂₃C₃³	central stem extension (φ=1)	81		C3.5(C9oHe3)	243,40
C₃.₆(C₉○He₃) = C₉⋊3_-¹⁺²	central stem extension (φ=1)	81		C3.6(C9oHe3)	243,41
C₃.₇(C₉○He₃) = C₃³.₃₁C₃²	central stem extension (φ=1)	81		C3.7(C9oHe3)	243,42
C₃.₈(C₉○He₃) = C₉²⋊₇C₃	central stem extension (φ=1)	81		C3.8(C9oHe3)	243,43
C₃.₉(C₉○He₃) = C₉²⋊₄C₃	central stem extension (φ=1)	81		C3.9(C9oHe3)	243,44
C₃.₁₀(C₉○He₃) = C₉²⋊₅C₃	central stem extension (φ=1)	81		C3.10(C9oHe3)	243,45
C₃.₁₁(C₉○He₃) = C₉²⋊₈C₃	central stem extension (φ=1)	81		C3.11(C9oHe3)	243,46

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