Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=C₈

Direct product G=NxQ with N=Dic₁₃ and Q=C₈

		d	ρ	Label	ID
C₈xDic₁₃		416		C8xDic13	416,20

Semidirect products G=N:Q with N=Dic₁₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃:₁C₈ = C₅₂.₈Q₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13:1C8	416,21
Dic₁₃:₂C₈ = C₄xC₁₃:C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13:2C8	416,75
Dic₁₃:₃C₈ = Dic₁₃:C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13:3C8	416,79

Non-split extensions G=N.Q with N=Dic₁₃ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁C₈ = C₂₀₈:C₂	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	208	2	Dic13.1C8	416,5
Dic₁₃.₂C₈ = D₁₃:C₁₆	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	208	4	Dic13.2C8	416,64
Dic₁₃.₃C₈ = D₂₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₁₃	208	4	Dic13.3C8	416,65
Dic₁₃.₄C₈ = C₁₆xD₁₃	φ: trivial image	208	2	Dic13.4C8	416,4

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