Extensions 1→N→G→Q→1 with N=C₂²xC₅₂ and Q=C₂

Direct product G=NxQ with N=C₂²xC₅₂ and Q=C₂

		d	ρ	Label	ID
C₂³xC₅₂		416		C2^3xC52	416,227

Semidirect products G=N:Q with N=C₂²xC₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₅₂):₁C₂ = C₂xD₂₆:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):1C2	416,148
(C₂²xC₅₂):₂C₂ = C₂³.₂₃D₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):2C2	416,150
(C₂²xC₅₂):₃C₂ = C₂²:C₄xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):3C2	416,176
(C₂²xC₅₂):₄C₂ = D₄xC₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):4C2	416,179
(C₂²xC₅₂):₅C₂ = C₁₃xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):5C2	416,184
(C₂²xC₅₂):₆C₂ = C₅₂:₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):6C2	416,151
(C₂²xC₅₂):₇C₂ = C₂²xD₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):7C2	416,214
(C₂²xC₅₂):₈C₂ = C₂xD₅₂:₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):8C2	416,215
(C₂²xC₅₂):₉C₂ = C₄xC₁₃:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):9C2	416,149
(C₂²xC₅₂):₁₀C₂ = C₂²xC₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):10C2	416,213
(C₂²xC₅₂):₁₁C₂ = C₁₃xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):11C2	416,182
(C₂²xC₅₂):₁₂C₂ = D₄xC₂xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):12C2	416,228
(C₂²xC₅₂):₁₃C₂ = C₄oD₄xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52):13C2	416,230

Non-split extensions G=N.Q with N=C₂²xC₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₅₂).₁C₂ = C₂₆.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).1C2	416,38
(C₂²xC₅₂).₂C₂ = C₁₃xC₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).2C2	416,45
(C₂²xC₅₂).₃C₂ = C₁₃xC₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).3C2	416,48
(C₂²xC₅₂).₄C₂ = C₂xC₂₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).4C2	416,144
(C₂²xC₅₂).₅C₂ = C₄:C₄xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).5C2	416,177
(C₂²xC₅₂).₆C₂ = C₅₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).6C2	416,145
(C₂²xC₅₂).₇C₂ = C₂xC₅₂:₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).7C2	416,146
(C₂²xC₅₂).₈C₂ = C₂²xDic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).8C2	416,212
(C₂²xC₅₂).₉C₂ = C₂xC₅₂.₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).9C2	416,142
(C₂²xC₅₂).₁₀C₂ = C₂³.₂₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).10C2	416,147
(C₂²xC₅₂).₁₁C₂ = C₅₂.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).11C2	416,37
(C₂²xC₅₂).₁₂C₂ = C₂²xC₁₃:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).12C2	416,141
(C₂²xC₅₂).₁₃C₂ = C₂xC₄xDic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).13C2	416,143
(C₂²xC₅₂).₁₄C₂ = C₁₃xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).14C2	416,178
(C₂²xC₅₂).₁₅C₂ = C₁₃xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).15C2	416,183
(C₂²xC₅₂).₁₆C₂ = M₄(2)xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	208		(C2^2xC52).16C2	416,191
(C₂²xC₅₂).₁₇C₂ = Q₈xC₂xC₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₅₂	416		(C2^2xC52).17C2	416,229

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