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

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

		d	ρ	Label	ID
C₃×He₃.C₃		81		C3xHe3.C3	243,52

Semidirect products G=N:Q with N=He₃.C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.C₃⋊₁C₃ = He₃.C₃²	φ: C₃/C₁ → C₃ ⊆ Out He₃.C₃	27	9	He3.C3:1C3	243,57
He₃.C₃⋊₂C₃ = C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out He₃.C₃	27	9	He3.C3:2C3	243,60
He₃.C₃⋊₃C₃ = C₉.He₃	φ: trivial image	27	3	He3.C3:3C3	243,55

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