Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xHe₃.C₃

Direct product G=NxQ with N=C₃ and Q=C₂xHe₃.C₃

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

Semidirect products G=N:Q with N=C₃ and Q=C₂xHe₃.C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xHe₃.C₃) = S₃xHe₃.C₃	φ: C₂xHe₃.C₃/He₃.C₃ → C₂ ⊆ Aut C₃	54	6	C3:(C2xHe3.C3)	486,120

Non-split extensions G=N.Q with N=C₃ and Q=C₂xHe₃.C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xHe₃.C₃) = C₂xC₃².₁₉He₃	central extension (φ=1)	162		C3.1(C2xHe3.C3)	486,74
C₃.₂(C₂xHe₃.C₃) = C₂xHe₃:C₉	central extension (φ=1)	162		C3.2(C2xHe3.C3)	486,77
C₃.₃(C₂xHe₃.C₃) = C₂x3_-¹⁺²:C₉	central extension (φ=1)	162		C3.3(C2xHe3.C3)	486,78
C₃.₄(C₂xHe₃.C₃) = C₂xC₃³.C₃²	central stem extension (φ=1)	162		C3.4(C2xHe3.C3)	486,64
C₃.₅(C₂xHe₃.C₃) = C₂xC₃³.₃C₃²	central stem extension (φ=1)	162		C3.5(C2xHe3.C3)	486,65
C₃.₆(C₂xHe₃.C₃) = C₂xC₃².₂₇He₃	central stem extension (φ=1)	162		C3.6(C2xHe3.C3)	486,66
C₃.₇(C₂xHe₃.C₃) = C₂xC₃².₂₉He₃	central stem extension (φ=1)	162		C3.7(C2xHe3.C3)	486,68
C₃.₈(C₂xHe₃.C₃) = C₂xC₃³.₇C₃²	central stem extension (φ=1)	162		C3.8(C2xHe3.C3)	486,69

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