Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₃×S₃

Direct product G=N×Q with N=Dic₆ and Q=C₃×S₃

		d	ρ	Label	ID
C₃×S₃×Dic₆		48	4	C3xS3xDic6	432,642

Semidirect products G=N:Q with N=Dic₆ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁(C₃×S₃) = C₃×C₃²⋊₅SD₁₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6:1(C3xS3)	432,422
Dic₆⋊₂(C₃×S₃) = C₃×Dic₆⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6:2(C3xS3)	432,420
Dic₆⋊₃(C₃×S₃) = C₃×D₁₂⋊S₃	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6:3(C3xS3)	432,644
Dic₆⋊₄(C₃×S₃) = C₃×Dic₃.D₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6:4(C3xS3)	432,645
Dic₆⋊₅(C₃×S₃) = C₃×D₆.₆D₆	φ: trivial image	48	4	Dic6:5(C3xS3)	432,647

Non-split extensions G=N.Q with N=Dic₆ and Q=C₃×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁(C₃×S₃) = C₃×C₃²⋊₃Q₁₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6.1(C3xS3)	432,424
Dic₆.₂(C₃×S₃) = C₃×C₃²⋊₂Q₁₆	φ: C₃×S₃/C₃² → C₂ ⊆ Out Dic₆	48	4	Dic6.2(C3xS3)	432,423

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁