Extensions 1→N→G→Q→1 with N=S₃xC₃² and Q=C₃²

Direct product G=NxQ with N=S₃xC₃² and Q=C₃²

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

Semidirect products G=N:Q with N=S₃xC₃² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²):C₃² = C₃xS₃xHe₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54		(S3xC3^2):C3^2	486,223

Non-split extensions G=N.Q with N=S₃xC₃² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃xC₃²).₁C₃² = S₃xC₃wrC₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	18	6	(S3xC3^2).1C3^2	486,117
(S₃xC₃²).₂C₃² = S₃xHe₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54	6	(S3xC3^2).2C3^2	486,120
(S₃xC₃²).₃C₃² = S₃xHe₃:C₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54	6	(S3xC3^2).3C3^2	486,123
(S₃xC₃²).₄C₃² = S₃xC₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54	6	(S3xC3^2).4C3^2	486,124
(S₃xC₃²).₅C₃² = C₃xS₃x3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54		(S3xC3^2).5C3^2	486,225
(S₃xC₃²).₆C₃² = S₃xC₉oHe₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃xC₃²	54	6	(S3xC3^2).6C3^2	486,226
(S₃xC₃²).₇C₃² = S₃xC₉²	φ: trivial image	162		(S3xC3^2).7C3^2	486,92
(S₃xC₃²).₈C₃² = S₃xC₃²:C₉	φ: trivial image	54		(S3xC3^2).8C3^2	486,95
(S₃xC₃²).₉C₃² = S₃xC₉:C₉	φ: trivial image	162		(S3xC3^2).9C3^2	486,97
(S₃xC₃²).₁₀C₃² = S₃xC₃²xC₉	φ: trivial image	162		(S3xC3^2).10C3^2	486,221

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