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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×He₃⋊C₂)⋊₁C₂ = C₃×C₃²⋊D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃⋊C₂	18	6	(C3xHe3:C2):1C2	324,117
(C₃×He₃⋊C₂)⋊₂C₂ = S₃×He₃⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃⋊C₂	18	6	(C3xHe3:C2):2C2	324,122
(C₃×He₃⋊C₂)⋊₃C₂ = He₃⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃⋊C₂	27		(C3xHe3:C2):3C2	324,124

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×He₃⋊C₂).₁C₂ = C₃×He₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃⋊C₂	54		(C3xHe3:C2).1C2	324,110
(C₃×He₃⋊C₂).₂C₂ = He₃⋊₄Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃⋊C₂	18	6	(C3xHe3:C2).2C2	324,113

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