Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=C₃×C₉

Direct product G=N×Q with N=C₃⋊S₃ and Q=C₃×C₉

		d	ρ	Label	ID
C₃⋊S₃×C₃×C₉		54		C3:S3xC3xC9	486,228

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=C₃×C₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊₁(C₃×C₉) = C₉×C₃²⋊C₆	φ: C₃×C₉/C₉ → C₃ ⊆ Out C₃⋊S₃	54	6	C3:S3:1(C3xC9)	486,98
C₃⋊S₃⋊₂(C₃×C₉) = C₃×C₃²⋊C₁₈	φ: C₃×C₉/C₃² → C₃ ⊆ Out C₃⋊S₃	54		C3:S3:2(C3xC9)	486,93

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁