Extensions 1→N→G→Q→1 with N=C₂³×C₃⋊S₃ and Q=C₃

Direct product G=N×Q with N=C₂³×C₃⋊S₃ and Q=C₃

		d	ρ	Label	ID
C₃⋊S₃×C₂²×C₆		144		C3:S3xC2^2xC6	432,773

Semidirect products G=N:Q with N=C₂³×C₃⋊S₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂³×C₃⋊S₃)⋊₁C₃ = C₂×C₆²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₂³×C₃⋊S₃	18	6+	(C2^3xC3:S3):1C3	432,542
(C₂³×C₃⋊S₃)⋊₂C₃ = C₂³×C₃²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₂³×C₃⋊S₃	72		(C2^3xC3:S3):2C3	432,558
(C₂³×C₃⋊S₃)⋊₃C₃ = C₂×A₄×C₃⋊S₃	φ: C₃/C₁ → C₃ ⊆ Out C₂³×C₃⋊S₃	54		(C2^3xC3:S3):3C3	432,764

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁