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

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

		d	ρ	Label	ID
C₂²×C₃⋊S₃		36		C2^2xC3:S3	72,49

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊C₂² = C₂×S₃²	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊S₃	12	4+	C3:S3:C2^2	72,46

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.₁C₂² = S₃≀C₂	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊S₃	6	4+	C3:S3.1C2^2	72,40
C₃⋊S₃.₂C₂² = PSU₃(𝔽₂)	φ: C₂²/C₁ → C₂² ⊆ Out C₃⋊S₃	9	8+	C3:S3.2C2^2	72,41
C₃⋊S₃.₃C₂² = C₂×C₃²⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out C₃⋊S₃	12	4+	C3:S3.3C2^2	72,45

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