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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₉ = He₃⋊C₉	φ: C₉/C₃ → C₃ ⊆ Out He₃	81		He3:C9	243,17

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

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

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