Extensions 1→N→G→Q→1 with N=Q₁₆ and Q=Dic₃

Direct product G=N×Q with N=Q₁₆ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×Q₁₆		192		Dic3xQ16	192,740

Semidirect products G=N:Q with N=Q₁₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆⋊₁Dic₃ = C₆.₅Q₃₂	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	192		Q16:1Dic3	192,123
Q₁₆⋊₂Dic₃ = D₈⋊₂Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:2Dic3	192,125
Q₁₆⋊₃Dic₃ = Q₁₆⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	192		Q16:3Dic3	192,743
Q₁₆⋊₄Dic₃ = D₈⋊₄Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	48	4	Q16:4Dic3	192,756
Q₁₆⋊₅Dic₃ = D₈⋊₅Dic₃	φ: trivial image	48	4	Q16:5Dic3	192,755

Non-split extensions G=N.Q with N=Q₁₆ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
Q₁₆.₁Dic₃ = C₂₄.₄₁D₄	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	96	4	Q16.1Dic3	192,126
Q₁₆.₂Dic₃ = Q₁₆.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out Q₁₆	96	4	Q16.2Dic3	192,124

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