Extensions 1→N→G→Q→1 with N=He₃.C₆ and Q=C₃

Direct product G=N×Q with N=He₃.C₆ and Q=C₃

		d	ρ	Label	ID
C₃×He₃.C₆		81		C3xHe3.C6	486,118

Semidirect products G=N:Q with N=He₃.C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.C₆⋊₁C₃ = He₃.C₃⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out He₃.C₆	27	9	He3.C6:1C3	486,128
He₃.C₆⋊₂C₃ = C₃≀C₃.C₆	φ: C₃/C₁ → C₃ ⊆ Out He₃.C₆	27	9	He3.C6:2C3	486,132
He₃.C₆⋊₃C₃ = C₃≀S₃⋊₃C₃	φ: trivial image	27	3	He3.C6:3C3	486,125

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