Extensions 1→N→G→Q→1 with N=C₂²×C₅₂ and Q=C₂

Direct product G=N×Q with N=C₂²×C₅₂ and Q=C₂

		d	ρ	Label	ID
C₂³×C₅₂		416		C2^3xC52	416,227

Semidirect products G=N:Q with N=C₂²×C₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₅₂)⋊₁C₂ = C₂×D₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):1C2	416,148
(C₂²×C₅₂)⋊₂C₂ = C₂³.₂₃D₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):2C2	416,150
(C₂²×C₅₂)⋊₃C₂ = C₂²⋊C₄×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):3C2	416,176
(C₂²×C₅₂)⋊₄C₂ = D₄×C₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):4C2	416,179
(C₂²×C₅₂)⋊₅C₂ = C₁₃×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):5C2	416,184
(C₂²×C₅₂)⋊₆C₂ = C₅₂⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):6C2	416,151
(C₂²×C₅₂)⋊₇C₂ = C₂²×D₅₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):7C2	416,214
(C₂²×C₅₂)⋊₈C₂ = C₂×D₅₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):8C2	416,215
(C₂²×C₅₂)⋊₉C₂ = C₄×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):9C2	416,149
(C₂²×C₅₂)⋊₁₀C₂ = C₂²×C₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):10C2	416,213
(C₂²×C₅₂)⋊₁₁C₂ = C₁₃×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):11C2	416,182
(C₂²×C₅₂)⋊₁₂C₂ = D₄×C₂×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):12C2	416,228
(C₂²×C₅₂)⋊₁₃C₂ = C₄○D₄×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52):13C2	416,230

Non-split extensions G=N.Q with N=C₂²×C₅₂ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₅₂).₁C₂ = C₂₆.₁₀C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).1C2	416,38
(C₂²×C₅₂).₂C₂ = C₁₃×C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).2C2	416,45
(C₂²×C₅₂).₃C₂ = C₁₃×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).3C2	416,48
(C₂²×C₅₂).₄C₂ = C₂×C₂₆.D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).4C2	416,144
(C₂²×C₅₂).₅C₂ = C₄⋊C₄×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).5C2	416,177
(C₂²×C₅₂).₆C₂ = C₅₂.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).6C2	416,145
(C₂²×C₅₂).₇C₂ = C₂×C₅₂⋊₃C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).7C2	416,146
(C₂²×C₅₂).₈C₂ = C₂²×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).8C2	416,212
(C₂²×C₅₂).₉C₂ = C₂×C₅₂.₄C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).9C2	416,142
(C₂²×C₅₂).₁₀C₂ = C₂³.₂₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).10C2	416,147
(C₂²×C₅₂).₁₁C₂ = C₅₂.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).11C2	416,37
(C₂²×C₅₂).₁₂C₂ = C₂²×C₁₃⋊₂C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).12C2	416,141
(C₂²×C₅₂).₁₃C₂ = C₂×C₄×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).13C2	416,143
(C₂²×C₅₂).₁₄C₂ = C₁₃×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).14C2	416,178
(C₂²×C₅₂).₁₅C₂ = C₁₃×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).15C2	416,183
(C₂²×C₅₂).₁₆C₂ = M₄(2)×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	208		(C2^2xC52).16C2	416,191
(C₂²×C₅₂).₁₇C₂ = Q₈×C₂×C₂₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₅₂	416		(C2^2xC52).17C2	416,229

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