Extensions 1→N→G→Q→1 with N=Q₈×C₁₃ and Q=C₃

Direct product G=N×Q with N=Q₈×C₁₃ and Q=C₃

		d	ρ	Label	ID
Q₈×C₃₉		312	2	Q8xC39	312,44

Semidirect products G=N:Q with N=Q₈×C₁₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈×C₁₃)⋊₁C₃ = C₁₃×SL₂(𝔽₃)	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₃	104	2	(Q8xC13):1C3	312,25
(Q₈×C₁₃)⋊₂C₃ = C₂₆.A₄	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₃	104	6	(Q8xC13):2C3	312,26
(Q₈×C₁₃)⋊₃C₃ = Q₈×C₁₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out Q₈×C₁₃	104	6	(Q8xC13):3C3	312,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁