Extensions 1→N→G→Q→1 with N=Q₈ and Q=Dic₆

Direct product G=N×Q with N=Q₈ and Q=Dic₆

		d	ρ	Label	ID
Q₈×Dic₆		192		Q8xDic6	192,1125

Semidirect products G=N:Q with N=Q₈ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊Dic₆ = Q₈⋊Dic₆	φ: Dic₆/C₄ → S₃ ⊆ Out Q₈	64		Q8:Dic6	192,945
Q₈⋊₂Dic₆ = Q₈⋊₂Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Q₈	192		Q8:2Dic6	192,350
Q₈⋊₃Dic₆ = Q₈⋊₃Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Q₈	192		Q8:3Dic6	192,352
Q₈⋊₄Dic₆ = Q₈⋊₄Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:4Dic6	192,579
Q₈⋊₅Dic₆ = Q₈⋊₅Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Q₈	192		Q8:5Dic6	192,580
Q₈⋊₆Dic₆ = Q₈⋊₆Dic₆	φ: trivial image	192		Q8:6Dic6	192,1128
Q₈⋊₇Dic₆ = Q₈⋊₇Dic₆	φ: trivial image	192		Q8:7Dic6	192,1129

Non-split extensions G=N.Q with N=Q₈ and Q=Dic₆

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁Dic₆ = Q₈.Dic₆	φ: Dic₆/C₄ → S₃ ⊆ Out Q₈	64		Q8.1Dic6	192,948
Q₈.₂Dic₆ = SL₂(𝔽₃)⋊Q₈	φ: Dic₆/C₄ → S₃ ⊆ Out Q₈	64		Q8.2Dic6	192,950
Q₈.₃Dic₆ = Q₈.₃Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Q₈	192		Q8.3Dic6	192,355
Q₈.₄Dic₆ = Q₈.₄Dic₆	φ: Dic₆/Dic₃ → C₂ ⊆ Out Q₈	192		Q8.4Dic6	192,358
Q₈.₅Dic₆ = Q₈.₅Dic₆	φ: Dic₆/C₁₂ → C₂ ⊆ Out Q₈	192		Q8.5Dic6	192,581

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