Extensions 1→N→G→Q→1 with N=S₃×C₃⋊S₃ and Q=C₂²

Direct product G=N×Q with N=S₃×C₃⋊S₃ and Q=C₂²

		d	ρ	Label	ID
C₂²×S₃×C₃⋊S₃		72		C2^2xS3xC3:S3	432,768

Semidirect products G=N:Q with N=S₃×C₃⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃⋊S₃)⋊C₂² = C₂×S₃³	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₃⋊S₃	24	8+	(S3xC3:S3):C2^2	432,759

Non-split extensions G=N.Q with N=S₃×C₃⋊S₃ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
(S₃×C₃⋊S₃).₁C₂² = S₃×S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₃⋊S₃	12	8+	(S3xC3:S3).1C2^2	432,741
(S₃×C₃⋊S₃).₂C₂² = S₃×PSU₃(𝔽₂)	φ: C₂²/C₁ → C₂² ⊆ Out S₃×C₃⋊S₃	24	16+	(S3xC3:S3).2C2^2	432,742
(S₃×C₃⋊S₃).₃C₂² = C₂×S₃×C₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out S₃×C₃⋊S₃	24	8+	(S3xC3:S3).3C2^2	432,753

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Extensions 1→N→G→Q→1 with N=S3×C3⋊S3 and Q=C22