Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=C₆

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₆

		d	ρ	Label	ID
C₆×He₃⋊C₂		54		C6xHe3:C2	324,145

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊₁C₆ = C₂×C₃≀S₃	φ: C₆/C₂ → C₃ ⊆ Out He₃⋊C₂	18	3	He3:C2:1C6	324,68
He₃⋊C₂⋊₂C₆ = C₂×He₃.₂C₆	φ: C₆/C₂ → C₃ ⊆ Out He₃⋊C₂	54	3	He3:C2:2C6	324,72
He₃⋊C₂⋊₃C₆ = C₃×C₃²⋊D₆	φ: C₆/C₃ → C₂ ⊆ Out He₃⋊C₂	18	6	He3:C2:3C6	324,117

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.C₆ = C₂×He₃.C₆	φ: C₆/C₂ → C₃ ⊆ Out He₃⋊C₂	54	3	He3:C2.C6	324,70
He₃⋊C₂.₂C₆ = C₃×He₃⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out He₃⋊C₂	54		He3:C2.2C6	324,110
He₃⋊C₂.₃C₆ = He₃.₃C₁₂	φ: C₆/C₃ → C₂ ⊆ Out He₃⋊C₂	54	3	He3:C2.3C6	324,111
He₃⋊C₂.₄C₆ = C₂×He₃.₄C₆	φ: trivial image	54	3	He3:C2.4C6	324,148

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