Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃xC₃³

Direct product G=NxQ with N=C₃ and Q=S₃xC₃³

		d	ρ	Label	ID
S₃xC₃⁴		162		S3xC3^4	486,256

Semidirect products G=N:Q with N=C₃ and Q=S₃xC₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(S₃xC₃³) = C₃:S₃xC₃³	φ: S₃xC₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3:(S3xC3^3)	486,257

Non-split extensions G=N.Q with N=C₃ and Q=S₃xC₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃xC₃³) = D₉xC₃³	φ: S₃xC₃³/C₃⁴ → C₂ ⊆ Aut C₃	162		C3.1(S3xC3^3)	486,220
C₃.₂(S₃xC₃³) = C₃²xC₃²:C₆	φ: S₃xC₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3.2(S3xC3^3)	486,222
C₃.₃(S₃xC₃³) = C₃²xC₉:C₆	φ: S₃xC₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3.3(S3xC3^3)	486,224
C₃.₄(S₃xC₃³) = S₃xC₃²xC₉	central extension (φ=1)	162		C3.4(S3xC3^3)	486,221
C₃.₅(S₃xC₃³) = C₃xS₃xHe₃	central stem extension (φ=1)	54		C3.5(S3xC3^3)	486,223
C₃.₆(S₃xC₃³) = C₃xS₃x3_-¹⁺²	central stem extension (φ=1)	54		C3.6(S3xC3^3)	486,225
C₃.₇(S₃xC₃³) = S₃xC₉oHe₃	central stem extension (φ=1)	54	6	C3.7(S3xC3^3)	486,226

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