Extensions 1→N→G→Q→1 with N=C₄xC₅₂ and Q=C₂

Direct product G=NxQ with N=C₄xC₅₂ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₅₂		416		C2xC4xC52	416,175

Semidirect products G=N:Q with N=C₄xC₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₅₂):₁C₂ = C₄²:₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):1C2	416,97
(C₄xC₅₂):₂C₂ = C₁₃xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):2C2	416,178
(C₄xC₅₂):₃C₂ = C₁₃xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):3C2	416,187
(C₄xC₅₂):₄C₂ = C₄:D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):4C2	416,95
(C₄xC₅₂):₅C₂ = C₄.D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):5C2	416,96
(C₄xC₅₂):₆C₂ = D₅₂:₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	104	2	(C4xC52):6C2	416,12
(C₄xC₅₂):₇C₂ = C₄xD₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):7C2	416,94
(C₄xC₅₂):₈C₂ = C₄²xD₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):8C2	416,92
(C₄xC₅₂):₉C₂ = C₄²:D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):9C2	416,93
(C₄xC₅₂):₁₀C₂ = C₁₃xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	104	2	(C4xC52):10C2	416,54
(C₄xC₅₂):₁₁C₂ = D₄xC₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):11C2	416,179
(C₄xC₅₂):₁₂C₂ = C₁₃xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):12C2	416,185
(C₄xC₅₂):₁₃C₂ = C₁₃xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	208		(C4xC52):13C2	416,188

Non-split extensions G=N.Q with N=C₄xC₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₅₂).₁C₂ = C₁₃xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).1C2	416,47
(C₄xC₅₂).₂C₂ = C₅₂:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).2C2	416,90
(C₄xC₅₂).₃C₂ = C₅₂.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).3C2	416,91
(C₄xC₅₂).₄C₂ = C₅₂:₃C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).4C2	416,11
(C₄xC₅₂).₅C₂ = C₄xDic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).5C2	416,89
(C₄xC₅₂).₆C₂ = C₄xC₁₃:₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).6C2	416,9
(C₄xC₅₂).₇C₂ = C₂₆.₇C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).7C2	416,10
(C₄xC₅₂).₈C₂ = C₁₃xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).8C2	416,55
(C₄xC₅₂).₉C₂ = Q₈xC₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).9C2	416,180
(C₄xC₅₂).₁₀C₂ = C₁₃xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).10C2	416,186
(C₄xC₅₂).₁₁C₂ = C₁₃xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₅₂	416		(C4xC52).11C2	416,189

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