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

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

		d	ρ	Label	ID
C₃×He₃		27		C3xHe3	81,12

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁He₃ = C₃²⋊C₉	central extension (φ=1)	27		C3.1He3	81,3
C₃.₂He₃ = C₃≀C₃	central stem extension (φ=1)	9	3	C3.2He3	81,7
C₃.₃He₃ = He₃.C₃	central stem extension (φ=1)	27	3	C3.3He3	81,8
C₃.₄He₃ = He₃⋊C₃	central stem extension (φ=1)	27	3	C3.4He3	81,9
C₃.₅He₃ = C₃.He₃	central stem extension (φ=1)	27	3	C3.5He3	81,10

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