Extensions 1→N→G→Q→1 with N=S₃×He₃ and Q=C₃

Direct product G=N×Q with N=S₃×He₃ and Q=C₃

		d	ρ	Label	ID
C₃×S₃×He₃		54		C3xS3xHe3	486,223

Semidirect products G=N:Q with N=S₃×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×He₃)⋊₁C₃ = S₃×C₃≀C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×He₃	18	6	(S3xHe3):1C3	486,117
(S₃×He₃)⋊₂C₃ = S₃×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×He₃	54	6	(S3xHe3):2C3	486,123

Non-split extensions G=N.Q with N=S₃×He₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×He₃).C₃ = S₃×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Out S₃×He₃	54	6	(S3xHe3).C3	486,120
(S₃×He₃).₂C₃ = S₃×C₉○He₃	φ: trivial image	54	6	(S3xHe3).2C3	486,226

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Extensions 1→N→G→Q→1 with N=S3×He3 and Q=C3