Extensions 1→N→G→Q→1 with N=Dic₁₄ and Q=C₈

Direct product G=N×Q with N=Dic₁₄ and Q=C₈

		d	ρ	Label	ID
C₈×Dic₁₄		448		C8xDic14	448,212

Semidirect products G=N:Q with N=Dic₁₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄⋊₁C₈ = C₄.₈Dic₂₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:1C8	448,13
Dic₁₄⋊₂C₈ = Dic₁₄⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:2C8	448,41
Dic₁₄⋊₃C₈ = Dic₁₄⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	448		Dic14:3C8	448,364

Non-split extensions G=N.Q with N=Dic₁₄ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₄.₁C₈ = D₂₈.C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	224	2	Dic14.1C8	448,65
Dic₁₄.₂C₈ = Dic₁₄.C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	224	4	Dic14.2C8	448,72
Dic₁₄.₃C₈ = C₁₆.₁₂D₁₄	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₄	224	4	Dic14.3C8	448,441
Dic₁₄.₄C₈ = D₂₈.₄C₈	φ: trivial image	224	2	Dic14.4C8	448,435

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