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	243,53

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) = C₃².₂₀He₃	central extension (φ=1)	81		C3.1(He3:C3)	243,15
C₃.₂(He₃⋊C₃) = He₃⋊C₉	central extension (φ=1)	81		C3.2(He3:C3)	243,17
C₃.₃(He₃⋊C₃) = C₃².₂₄He₃	central stem extension (φ=1)	81		C3.3(He3:C3)	243,3
C₃.₄(He₃⋊C₃) = C₃².₂₇He₃	central stem extension (φ=1)	81		C3.4(He3:C3)	243,6
C₃.₅(He₃⋊C₃) = C₃².₂₉He₃	central stem extension (φ=1)	81		C3.5(He3:C3)	243,8
C₃.₆(He₃⋊C₃) = C₉²⋊C₃	central stem extension (φ=1)	27	3	C3.6(He3:C3)	243,25
C₃.₇(He₃⋊C₃) = C₉²⋊₂C₃	central stem extension (φ=1)	27	3	C3.7(He3:C3)	243,26
C₃.₈(He₃⋊C₃) = C₉².C₃	central stem extension (φ=1)	27	3	C3.8(He3:C3)	243,27
C₃.₉(He₃⋊C₃) = C₃².He₃	central stem extension (φ=1)	27	9	C3.9(He3:C3)	243,28
C₃.₁₀(He₃⋊C₃) = C₃².₅He₃	central stem extension (φ=1)	27	9	C3.10(He3:C3)	243,29
C₃.₁₁(He₃⋊C₃) = C₃².₆He₃	central stem extension (φ=1)	27	9	C3.11(He3:C3)	243,30

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