Extensions 1→N→G→Q→1 with N=C₅₂:₃C₄ and Q=C₂

Direct product G=NxQ with N=C₅₂:₃C₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₅₂:₃C₄		416		C2xC52:3C4	416,146

Semidirect products G=N:Q with N=C₅₂:₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂:₃C₄:₁C₂ = D₅₂:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:1C2	416,28
C₅₂:₃C₄:₂C₂ = C₂²:Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:2C2	416,99
C₅₂:₃C₄:₃C₂ = C₂³.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:3C2	416,100
C₅₂:₃C₄:₄C₂ = D₂₆.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:4C2	416,104
C₅₂:₃C₄:₅C₂ = C₂².D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:5C2	416,107
C₅₂:₃C₄:₆C₂ = D₂₆:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:6C2	416,118
C₅₂:₃C₄:₇C₂ = C₄:C₄:D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:7C2	416,119
C₅₂:₃C₄:₈C₂ = C₅₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:8C2	416,145
C₅₂:₃C₄:₉C₂ = C₅₂:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:9C2	416,151
C₅₂:₃C₄:₁₀C₂ = D₄:Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:10C2	416,39
C₅₂:₃C₄:₁₁C₂ = C₄:C₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:11C2	416,112
C₅₂:₃C₄:₁₂C₂ = C₄:C₄:₇D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:12C2	416,113
C₅₂:₃C₄:₁₃C₂ = D₄xDic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:13C2	416,155
C₅₂:₃C₄:₁₄C₂ = C₅₂:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:14C2	416,159
C₅₂:₃C₄:₁₅C₂ = D₂₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	208		C52:3C4:15C2	416,167
C₅₂:₃C₄:₁₆C₂ = C₄xD₅₂	φ: trivial image	208		C52:3C4:16C2	416,94
C₅₂:₃C₄:₁₇C₂ = C₂³.₂₁D₂₆	φ: trivial image	208		C52:3C4:17C2	416,147

Non-split extensions G=N.Q with N=C₅₂:₃C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₅₂:₃C₄.₁C₂ = C₅₂.₄₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.1C2	416,23
C₅₂:₃C₄.₂C₂ = C₁₀₄:₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.2C2	416,24
C₅₂:₃C₄.₃C₂ = C₁₀₄:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.3C2	416,25
C₅₂:₃C₄.₄C₂ = C₅₂:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.4C2	416,90
C₅₂:₃C₄.₅C₂ = C₅₂.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.5C2	416,91
C₅₂:₃C₄.₆C₂ = Dic₁₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.6C2	416,110
C₅₂:₃C₄.₇C₂ = C₄.Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.7C2	416,111
C₅₂:₃C₄.₈C₂ = C₂₆.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.8C2	416,14
C₅₂:₃C₄.₉C₂ = C₅₂.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.9C2	416,15
C₅₂:₃C₄.₁₀C₂ = Q₈:Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.10C2	416,42
C₅₂:₃C₄.₁₁C₂ = C₅₂:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.11C2	416,109
C₅₂:₃C₄.₁₂C₂ = Q₈xDic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₅₂:₃C₄	416		C52:3C4.12C2	416,166
C₅₂:₃C₄.₁₃C₂ = C₄xDic₂₆	φ: trivial image	416		C52:3C4.13C2	416,89

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