Extensions 1→N→G→Q→1 with N=S₃×C₃² and Q=C₃²

Direct product G=N×Q with N=S₃×C₃² and Q=C₃²

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

Semidirect products G=N:Q with N=S₃×C₃² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²)⋊C₃² = C₃×S₃×He₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54		(S3xC3^2):C3^2	486,223

Non-split extensions G=N.Q with N=S₃×C₃² and Q=C₃²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃²).₁C₃² = S₃×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	18	6	(S3xC3^2).1C3^2	486,117
(S₃×C₃²).₂C₃² = S₃×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54	6	(S3xC3^2).2C3^2	486,120
(S₃×C₃²).₃C₃² = S₃×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54	6	(S3xC3^2).3C3^2	486,123
(S₃×C₃²).₄C₃² = S₃×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54	6	(S3xC3^2).4C3^2	486,124
(S₃×C₃²).₅C₃² = C₃×S₃×3_-¹⁺²	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54		(S3xC3^2).5C3^2	486,225
(S₃×C₃²).₆C₃² = S₃×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Out S₃×C₃²	54	6	(S3xC3^2).6C3^2	486,226
(S₃×C₃²).₇C₃² = S₃×C₉²	φ: trivial image	162		(S3xC3^2).7C3^2	486,92
(S₃×C₃²).₈C₃² = S₃×C₃²⋊C₉	φ: trivial image	54		(S3xC3^2).8C3^2	486,95
(S₃×C₃²).₉C₃² = S₃×C₉⋊C₉	φ: trivial image	162		(S3xC3^2).9C3^2	486,97
(S₃×C₃²).₁₀C₃² = S₃×C₃²×C₉	φ: trivial image	162		(S3xC3^2).10C3^2	486,221

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