Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=Q₈

Direct product G=N×Q with N=Dic₁₄ and Q=Q₈

		d	ρ	Label	ID
Q₈×Dic₁₄		448		Q8xDic14	448,1019

Semidirect products G=N:Q with N=Dic₁₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁Q₈ = Dic₁₄⋊Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₄	448		Dic14:1Q8	448,388
Dic₁₄⋊₂Q₈ = Dic₁₄⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₄	448		Dic14:2Q8	448,409
Dic₁₄⋊₃Q₈ = C₂₈.₇Q₁₆	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:3Q8	448,384
Dic₁₄⋊₄Q₈ = Dic₁₄⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:4Q8	448,385
Dic₁₄⋊₅Q₈ = Dic₁₄⋊₅Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:5Q8	448,625
Dic₁₄⋊₆Q₈ = Dic₁₄⋊₆Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:6Q8	448,628
Dic₁₄⋊₇Q₈ = Dic₁₄⋊₇Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:7Q8	448,1138
Dic₁₄⋊₈Q₈ = Dic₁₄⋊₈Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:8Q8	448,1174
Dic₁₄⋊₉Q₈ = Dic₁₄⋊₉Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:9Q8	448,1175
Dic₁₄⋊₁₀Q₈ = Dic₁₄⋊₁₀Q₈	φ: trivial image	448		Dic14:10Q8	448,1020

Non-split extensions G=N.Q with N=Dic₁₄ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁Q₈ = Dic₁₄.Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₄	448		Dic14.1Q8	448,391
Dic₁₄.₂Q₈ = Dic₁₄.₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out Dic₁₄	448		Dic14.2Q8	448,411
Dic₁₄.₃Q₈ = Dic₁₄.₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14.3Q8	448,363
Dic₁₄.₄Q₈ = Dic₁₄.₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14.4Q8	448,597

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁