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	243,53

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₃⋊₁C₃ = C₉²⋊₂C₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	3	He3:C3:1C3	243,26
He₃⋊C₃⋊₂C₃ = C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	9	He3:C3:2C3	243,28
He₃⋊C₃⋊₃C₃ = He₃⋊C₃²	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	9	He3:C3:3C3	243,58
He₃⋊C₃⋊₄C₃ = C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	9	He3:C3:4C3	243,60
He₃⋊C₃⋊₅C₃ = C₉.He₃	φ: trivial image	27	3	He3:C3:5C3	243,55

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₃.₁C₃ = C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	3	He3:C3.1C3	243,25
He₃⋊C₃.₂C₃ = C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out He₃⋊C₃	27	9	He3:C3.2C3	243,30

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