Extensions 1→N→G→Q→1 with N=He₃:C₂ and Q=C₃

Direct product G=NxQ with N=He₃:C₂ and Q=C₃

		d	ρ	Label	ID
C₃xHe₃:C₂		27		C3xHe3:C2	162,41

Semidirect products G=N:Q with N=He₃:C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₂:₁C₃ = C₃wrS₃	φ: C₃/C₁ → C₃ ⊆ Out He₃:C₂	9	3	He3:C2:1C3	162,10
He₃:C₂:₂C₃ = He₃.₂C₆	φ: C₃/C₁ → C₃ ⊆ Out He₃:C₂	27	3	He3:C2:2C3	162,14

Non-split extensions G=N.Q with N=He₃:C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₂.C₃ = He₃.C₆	φ: C₃/C₁ → C₃ ⊆ Out He₃:C₂	27	3	He3:C2.C3	162,12
He₃:C₂.₂C₃ = He₃.₄C₆	φ: trivial image	27	3	He3:C2.2C3	162,44

Extensions 1→N→G→Q→1 with N=He3:C2 and Q=C3