Extensions 1→N→G→Q→1 with N=S₃×C₃⋊S₃ and Q=C₄

Direct product G=N×Q with N=S₃×C₃⋊S₃ and Q=C₄

		d	ρ	Label	ID
C₄×S₃×C₃⋊S₃		72		C4xS3xC3:S3	432,670

Semidirect products G=N:Q with N=S₃×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃⋊S₃)⋊₁C₄ = S₃×C₆.D₆	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₃⋊S₃	24	8+	(S3xC3:S3):1C4	432,595
(S₃×C₃⋊S₃)⋊₂C₄ = C₂×S₃×C₃²⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out S₃×C₃⋊S₃	24	8+	(S3xC3:S3):2C4	432,753

Non-split extensions G=N.Q with N=S₃×C₃⋊S₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃⋊S₃).C₄ = S₃×F₉	φ: C₄/C₁ → C₄ ⊆ Out S₃×C₃⋊S₃	24	16+	(S3xC3:S3).C4	432,736

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Extensions 1→N→G→Q→1 with N=S3×C3⋊S3 and Q=C4