Extensions 1→N→G→Q→1 with N=He₃.₄C₆ and Q=C₃

Direct product G=N×Q with N=He₃.₄C₆ and Q=C₃

		d	ρ	Label	ID
C₃×He₃.₄C₆		81		C3xHe3.4C6	486,235

Semidirect products G=N:Q with N=He₃.₄C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.₄C₆⋊₁C₃ = C₃≀S₃⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Out He₃.₄C₆	27	3	He3.4C6:1C3	486,125
He₃.₄C₆⋊₂C₃ = C₃≀C₃.C₆	φ: C₃/C₁ → C₃ ⊆ Out He₃.₄C₆	27	9	He3.4C6:2C3	486,132
He₃.₄C₆⋊₃C₃ = 3_-¹⁺⁴⋊₂C₂	φ: C₃/C₁ → C₃ ⊆ Out He₃.₄C₆	27	9	He3.4C6:3C3	486,239

Non-split extensions G=N.Q with N=He₃.₄C₆ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃.₄C₆.₁C₃ = He₃.C₁₈	φ: C₃/C₁ → C₃ ⊆ Out He₃.₄C₆	81	3	He3.4C6.1C3	486,26
He₃.₄C₆.₂C₃ = He₃.₂C₁₈	φ: C₃/C₁ → C₃ ⊆ Out He₃.₄C₆	81	3	He3.4C6.2C3	486,28
He₃.₄C₆.₃C₃ = He₃.₅C₁₈	φ: trivial image	81	3	He3.4C6.3C3	486,164

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Extensions 1→N→G→Q→1 with N=He3.4C6 and Q=C3