Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₃wrC₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₃wrC₃

		d	ρ	Label	ID
C₆xC₃wrC₃		54		C6xC3wrC3	486,210

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₃wrC₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xC₃wrC₃) = S₃xC₃wrC₃	φ: C₂xC₃wrC₃/C₃wrC₃ → C₂ ⊆ Aut C₃	18	6	C3:(C2xC3wrC3)	486,117

Non-split extensions G=N.Q with N=C₃ and Q=C₂xC₃wrC₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₂xC₃wrC₃) = C₂xC₃³:C₉	central extension (φ=1)	54		C3.1(C2xC3wrC3)	486,73
C₃.₂(C₂xC₃wrC₃) = C₂xHe₃:C₉	central extension (φ=1)	162		C3.2(C2xC3wrC3)	486,77
C₃.₃(C₂xC₃wrC₃) = C₂x3_-¹⁺²:C₉	central extension (φ=1)	162		C3.3(C2xC3wrC3)	486,78
C₃.₄(C₂xC₃wrC₃) = C₂xC₃².₂₄He₃	central stem extension (φ=1)	162		C3.4(C2xC3wrC3)	486,63
C₃.₅(C₂xC₃wrC₃) = C₂xC₃³.C₃²	central stem extension (φ=1)	162		C3.5(C2xC3wrC3)	486,64
C₃.₆(C₂xC₃wrC₃) = C₂xC₃³.₃C₃²	central stem extension (φ=1)	162		C3.6(C2xC3wrC3)	486,65
C₃.₇(C₂xC₃wrC₃) = C₂xC₃².₂₇He₃	central stem extension (φ=1)	162		C3.7(C2xC3wrC3)	486,66
C₃.₈(C₂xC₃wrC₃) = C₂xC₃².₂₈He₃	central stem extension (φ=1)	162		C3.8(C2xC3wrC3)	486,67

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