Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=C₂⁴

Direct product G=N×Q with N=C₃⋊S₃ and Q=C₂⁴

		d	ρ	Label	ID
C₂⁴×C₃⋊S₃		144		C2^4xC3:S3	288,1044

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊C₂⁴ = S₃²×C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out C₃⋊S₃	48		C3:S3:C2^4	288,1040

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=C₂⁴

extension	φ:Q→Out N	d	Label	ID
C₃⋊S₃.₁C₂⁴ = C₂²×S₃≀C₂	φ: C₂⁴/C₂² → C₂² ⊆ Out C₃⋊S₃	24	C3:S3.1C2^4	288,1031
C₃⋊S₃.₂C₂⁴ = C₂²×PSU₃(𝔽₂)	φ: C₂⁴/C₂² → C₂² ⊆ Out C₃⋊S₃	36	C3:S3.2C2^4	288,1032
C₃⋊S₃.₃C₂⁴ = C₂³×C₃²⋊C₄	φ: C₂⁴/C₂³ → C₂ ⊆ Out C₃⋊S₃	48	C3:S3.3C2^4	288,1039

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=C24