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

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

		d	ρ	Label	ID
C₆×He₃.C₃		162		C6xHe3.C3	486,211

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×He₃.C₃)⋊₁C₂ = C₃×He₃.₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	54	6	(C3xHe3.C3):1C2	486,168
(C₃×He₃.C₃)⋊₂C₂ = He₃.(C₃⋊S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	81		(C3xHe3.C3):2C2	486,186
(C₃×He₃.C₃)⋊₃C₂ = C₃×He₃.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	54	6	(C3xHe3.C3):3C2	486,119
(C₃×He₃.C₃)⋊₄C₂ = C₃²⋊₄D₉⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	81		(C3xHe3.C3):4C2	486,170
(C₃×He₃.C₃)⋊₅C₂ = C₃×He₃.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	81		(C3xHe3.C3):5C2	486,118
(C₃×He₃.C₃)⋊₆C₂ = S₃×He₃.C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	54	6	(C3xHe3.C3):6C2	486,120
(C₃×He₃.C₃)⋊₇C₂ = He₃.C₃⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×He₃.C₃	54	6	(C3xHe3.C3):7C2	486,169

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