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

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

		d	ρ	Label	ID
C₉×He₃		81		C9xHe3	243,35

Semidirect products G=N:Q with N=C₉ and Q=He₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊He₃ = C₉⋊He₃	φ: He₃/C₃² → C₃ ⊆ Aut C₉	81		C9:He3	243,39

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.₁He₃ = C₉.He₃	φ: He₃/C₃² → C₃ ⊆ Aut C₉	27	3	C9.1He3	243,55
C₉.₂He₃ = C₉.₂He₃	φ: He₃/C₃² → C₃ ⊆ Aut C₉	27	9	C9.2He3	243,60
C₉.₃He₃ = C₃²⋊C₂₇	central extension (φ=1)	81		C9.3He3	243,12
C₉.₄He₃ = C₉.₄He₃	central extension (φ=1)	27	3	C9.4He3	243,16
C₉.₅He₃ = C₉.₅He₃	central extension (φ=1)	81	3	C9.5He3	243,19
C₉.₆He₃ = C₉.₆He₃	central extension (φ=1)	81	3	C9.6He3	243,20

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