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

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

		d	ρ	Label	ID
C₃×C₃.He₃		81		C3xC3.He3	243,54

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.He₃⋊₁C₃ = C₉²⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	3	C3.He3:1C3	243,25
C₃.He₃⋊₂C₃ = C₃².He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	9	C3.He3:2C3	243,28
C₃.He₃⋊₃C₃ = C₃².₆He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	9	C3.He3:3C3	243,30
C₃.He₃⋊₄C₃ = C₃².C₃³	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	9	C3.He3:4C3	243,59
C₃.He₃⋊₅C₃ = C₉.₂He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	9	C3.He3:5C3	243,60
C₃.He₃⋊₆C₃ = C₉.He₃	φ: trivial image	27	3	C3.He3:6C3	243,55

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃.He₃.₁C₃ = C₉².C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	3	C3.He3.1C3	243,27
C₃.He₃.₂C₃ = C₃².₅He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃.He₃	27	9	C3.He3.2C3	243,29

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