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

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₃

		d	ρ	Label	ID
C₃×He₃⋊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 = C₃≀S₃	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

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