Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₃

Direct product G=N×Q with N=Q₈ and Q=Dic₃

		d	ρ	Label	ID
Q₈×Dic₃		96		Q8xDic3	96,152

Semidirect products G=N:Q with N=Q₈ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₃ = Q₈⋊Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out Q₈	32		Q8:Dic3	96,66
Q₈⋊₂Dic₃ = Q₈⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₈	96		Q8:2Dic3	96,42
Q₈⋊₃Dic₃ = Q₈⋊₃Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₈	24	4	Q8:3Dic3	96,44

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.Dic₃ = U₂(𝔽₃)	φ: Dic₃/C₂ → S₃ ⊆ Out Q₈	24	2	Q8.Dic3	96,67
Q₈.₂Dic₃ = D₄.Dic₃	φ: trivial image	48	4	Q8.2Dic3	96,155

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Q8 and Q=Dic3