Extensions 1→N→G→Q→1 with N=C₃⋊D₄ and Q=C₃×S₃

Direct product G=N×Q with N=C₃⋊D₄ and Q=C₃×S₃

		d	ρ	Label	ID
C₃×S₃×C₃⋊D₄		24	4	C3xS3xC3:D4	432,658

Semidirect products G=N:Q with N=C₃⋊D₄ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊D₄⋊₁(C₃×S₃) = C₃×D₆.₄D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₃⋊D₄	24	4	C3:D4:1(C3xS3)	432,653
C₃⋊D₄⋊₂(C₃×S₃) = C₃×Dic₃⋊D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out C₃⋊D₄	24	4	C3:D4:2(C3xS3)	432,659
C₃⋊D₄⋊₃(C₃×S₃) = C₃×D₆.₃D₆	φ: trivial image	24	4	C3:D4:3(C3xS3)	432,652

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁