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

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

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

Semidirect products G=N:Q with N=C₉○He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃⋊₁C₃ = C₉.He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉○He₃	27	3	C9oHe3:1C3	243,55
C₉○He₃⋊₂C₃ = C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉○He₃	27	9	C9oHe3:2C3	243,60
C₉○He₃⋊₃C₃ = 3_-¹⁺⁴	φ: C₃/C₁ → C₃ ⊆ Out C₉○He₃	27	9	C9oHe3:3C3	243,66

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₉○He₃.₁C₃ = C₉.₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉○He₃	81	3	C9oHe3.1C3	243,19
C₉○He₃.₂C₃ = C₉.₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₉○He₃	81	3	C9oHe3.2C3	243,20
C₉○He₃.₃C₃ = C₂₇○He₃	φ: trivial image	81	3	C9oHe3.3C3	243,50

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