Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₃³

Direct product G=N×Q with N=C₃ and Q=S₃×C₃³

		d	ρ	Label	ID
S₃×C₃⁴		162		S3xC3^4	486,256

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₃³) = C₃⋊S₃×C₃³	φ: S₃×C₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3:(S3xC3^3)	486,257

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₃³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₃³) = D₉×C₃³	φ: S₃×C₃³/C₃⁴ → C₂ ⊆ Aut C₃	162		C3.1(S3xC3^3)	486,220
C₃.₂(S₃×C₃³) = C₃²×C₃²⋊C₆	φ: S₃×C₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3.2(S3xC3^3)	486,222
C₃.₃(S₃×C₃³) = C₃²×C₉⋊C₆	φ: S₃×C₃³/C₃⁴ → C₂ ⊆ Aut C₃	54		C3.3(S3xC3^3)	486,224
C₃.₄(S₃×C₃³) = S₃×C₃²×C₉	central extension (φ=1)	162		C3.4(S3xC3^3)	486,221
C₃.₅(S₃×C₃³) = C₃×S₃×He₃	central stem extension (φ=1)	54		C3.5(S3xC3^3)	486,223
C₃.₆(S₃×C₃³) = C₃×S₃×3_-¹⁺²	central stem extension (φ=1)	54		C3.6(S3xC3^3)	486,225
C₃.₇(S₃×C₃³) = S₃×C₉○He₃	central stem extension (φ=1)	54	6	C3.7(S3xC3^3)	486,226

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