Extensions 1→N→G→Q→1 with N=Dic₅₂ and Q=C₂

Direct product G=N×Q with N=Dic₅₂ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₅₂		416		C2xDic52	416,126

Semidirect products G=N:Q with N=Dic₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₂⋊₁C₂ = C₁₆⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	2	Dic52:1C2	416,7
Dic₅₂⋊₂C₂ = C₈.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	4-	Dic52:2C2	416,130
Dic₅₂⋊₃C₂ = D₈.D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	4-	Dic52:3C2	416,34
Dic₅₂⋊₄C₂ = D₈⋊₃D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	4-	Dic52:4C2	416,133
Dic₅₂⋊₅C₂ = Q₁₆×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	4-	Dic52:5C2	416,138
Dic₅₂⋊₆C₂ = D₄.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	208	4-	Dic52:6C2	416,136
Dic₅₂⋊₇C₂ = D₁₀₄⋊₇C₂	φ: trivial image	208	2	Dic52:7C2	416,125

Non-split extensions G=N.Q with N=Dic₅₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅₂.₁C₂ = Dic₁₀₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	416	2-	Dic52.1C2	416,8
Dic₅₂.₂C₂ = C₁₃⋊Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₅₂	416	4-	Dic52.2C2	416,36

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