Extensions 1→N→G→Q→1 with N=Dic₁₃ and Q=Q₈

Direct product G=N×Q with N=Dic₁₃ and Q=Q₈

		d	ρ	Label	ID
Q₈×Dic₁₃		416		Q8xDic13	416,166

Semidirect products G=N:Q with N=Dic₁₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃⋊₁Q₈ = C₅₂⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13:1Q8	416,109
Dic₁₃⋊₂Q₈ = Dic₁₃⋊Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13:2Q8	416,165
Dic₁₃⋊₃Q₈ = Dic₁₃⋊₃Q₈	φ: trivial image	416		Dic13:3Q8	416,108

Non-split extensions G=N.Q with N=Dic₁₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₁₃.₁Q₈ = Dic₁₃.Q₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.1Q8	416,110
Dic₁₃.₂Q₈ = D₂₆.₈D₄	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	104	4	Dic13.2Q8	416,68
Dic₁₃.₃Q₈ = D₁₃.D₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	104	4	Dic13.3Q8	416,69
Dic₁₃.₄Q₈ = C₅₂⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.4Q8	416,76
Dic₁₃.₅Q₈ = Dic₁₃⋊C₈	φ: Q₈/C₄ → C₂ ⊆ Out Dic₁₃	416		Dic13.5Q8	416,79

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