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

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

		d	ρ	Label	ID
C₃⋊S₃²		18		C3:S3^2	324,169

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊(C₃⋊S₃) = He₃⋊₅D₆	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out C₃⋊S₃	18	12+	C3:S3:(C3:S3)	324,121
C₃⋊S₃⋊₂(C₃⋊S₃) = C₃³⋊₁₇D₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊S₃	36		C3:S3:2(C3:S3)	324,170

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.(C₃⋊S₃) = C₃⁴⋊C₄	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out C₃⋊S₃	36		C3:S3.(C3:S3)	324,163

⋊

ℤ

𝔽

○

≀

ℚ

◁

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