Extensions 1→N→G→Q→1 with N=C₃xHe₃.C₃ and Q=C₂

Direct product G=NxQ with N=C₃xHe₃.C₃ and Q=C₂

		d	ρ	Label	ID
C₆xHe₃.C₃		162		C6xHe3.C3	486,211

Semidirect products G=N:Q with N=C₃xHe₃.C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xHe₃.C₃):₁C₂ = C₃xHe₃.₃S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	54	6	(C3xHe3.C3):1C2	486,168
(C₃xHe₃.C₃):₂C₂ = He₃.(C₃:S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	81		(C3xHe3.C3):2C2	486,186
(C₃xHe₃.C₃):₃C₂ = C₃xHe₃.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	54	6	(C3xHe3.C3):3C2	486,119
(C₃xHe₃.C₃):₄C₂ = C₃²:₄D₉:C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	81		(C3xHe3.C3):4C2	486,170
(C₃xHe₃.C₃):₅C₂ = C₃xHe₃.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	81		(C3xHe3.C3):5C2	486,118
(C₃xHe₃.C₃):₆C₂ = S₃xHe₃.C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	54	6	(C3xHe3.C3):6C2	486,120
(C₃xHe₃.C₃):₇C₂ = He₃.C₃:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xHe₃.C₃	54	6	(C3xHe3.C3):7C2	486,169

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