Extensions 1→N→G→Q→1 with N=C₃ and Q=He₃.C₃

Direct product G=N×Q with N=C₃ and Q=He₃.C₃

		d	ρ	Label	ID
C₃×He₃.C₃		81		C3xHe3.C3	243,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(He₃.C₃) = C₃².₁₉He₃	central extension (φ=1)	81		C3.1(He3.C3)	243,14
C₃.₂(He₃.C₃) = He₃⋊C₉	central extension (φ=1)	81		C3.2(He3.C3)	243,17
C₃.₃(He₃.C₃) = 3_-¹⁺²⋊C₉	central extension (φ=1)	81		C3.3(He3.C3)	243,18
C₃.₄(He₃.C₃) = C₃³.C₃²	central stem extension (φ=1)	81		C3.4(He3.C3)	243,4
C₃.₅(He₃.C₃) = C₃³.₃C₃²	central stem extension (φ=1)	81		C3.5(He3.C3)	243,5
C₃.₆(He₃.C₃) = C₃².₂₇He₃	central stem extension (φ=1)	81		C3.6(He3.C3)	243,6
C₃.₇(He₃.C₃) = C₃².₂₉He₃	central stem extension (φ=1)	81		C3.7(He3.C3)	243,8
C₃.₈(He₃.C₃) = C₃³.₇C₃²	central stem extension (φ=1)	81		C3.8(He3.C3)	243,9

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