Extensions 1→N→G→Q→1 with N=C₂xC₂₆ and Q=C₂³

Direct product G=NxQ with N=C₂xC₂₆ and Q=C₂³

		d	ρ	Label	ID
C₂⁴xC₂₆		416		C2^4xC26	416,235

Semidirect products G=N:Q with N=C₂xC₂₆ and Q=C₂³

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₂₆):C₂³ = C₂xD₄xD₁₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	104	(C2xC26):C2^3	416,216
(C₂xC₂₆):₂C₂³ = D₄xC₂xC₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208	(C2xC26):2C2^3	416,228
(C₂xC₂₆):₃C₂³ = C₂²xC₁₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208	(C2xC26):3C2^3	416,226
(C₂xC₂₆):₄C₂³ = C₂⁴xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208	(C2xC26):4C2^3	416,234

Non-split extensions G=N.Q with N=C₂xC₂₆ and Q=C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₆).₁C₂³ = C₂xD₄:₂D₁₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	208		(C2xC26).1C2^3	416,217
(C₂xC₂₆).₂C₂³ = D₄:₆D₂₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	104	4	(C2xC26).2C2^3	416,218
(C₂xC₂₆).₃C₂³ = C₄oD₄xD₁₃	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	104	4	(C2xC26).3C2^3	416,222
(C₂xC₂₆).₄C₂³ = D₄:₈D₂₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	104	4+	(C2xC26).4C2^3	416,223
(C₂xC₂₆).₅C₂³ = D₄.₁₀D₂₆	φ: C₂³/C₂ → C₂² ⊆ Aut C₂xC₂₆	208	4-	(C2xC26).5C2^3	416,224
(C₂xC₂₆).₆C₂³ = C₄oD₄xC₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).6C2^3	416,230
(C₂xC₂₆).₇C₂³ = C₁₃x2₊¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	104	4	(C2xC26).7C2^3	416,231
(C₂xC₂₆).₈C₂³ = C₁₃x2_-¹⁺⁴	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208	4	(C2xC26).8C2^3	416,232
(C₂xC₂₆).₉C₂³ = C₄xDic₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).9C2^3	416,89
(C₂xC₂₆).₁₀C₂³ = C₅₂:₂Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).10C2^3	416,90
(C₂xC₂₆).₁₁C₂³ = C₅₂.₆Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).11C2^3	416,91
(C₂xC₂₆).₁₂C₂³ = C₄²xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).12C2^3	416,92
(C₂xC₂₆).₁₃C₂³ = C₄²:D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).13C2^3	416,93
(C₂xC₂₆).₁₄C₂³ = C₄xD₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).14C2^3	416,94
(C₂xC₂₆).₁₅C₂³ = C₄:D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).15C2^3	416,95
(C₂xC₂₆).₁₆C₂³ = C₄.D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).16C2^3	416,96
(C₂xC₂₆).₁₇C₂³ = C₄²:₂D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).17C2^3	416,97
(C₂xC₂₆).₁₈C₂³ = C₂³.₁₁D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).18C2^3	416,98
(C₂xC₂₆).₁₉C₂³ = C₂²:Dic₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).19C2^3	416,99
(C₂xC₂₆).₂₀C₂³ = C₂³.D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).20C2^3	416,100
(C₂xC₂₆).₂₁C₂³ = C₂²:C₄xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	104		(C2xC26).21C2^3	416,101
(C₂xC₂₆).₂₂C₂³ = Dic₁₃:₄D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).22C2^3	416,102
(C₂xC₂₆).₂₃C₂³ = C₂²:D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	104		(C2xC26).23C2^3	416,103
(C₂xC₂₆).₂₄C₂³ = D₂₆.₁₂D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).24C2^3	416,104
(C₂xC₂₆).₂₅C₂³ = D₂₆:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).25C2^3	416,105
(C₂xC₂₆).₂₆C₂³ = C₂³.₆D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).26C2^3	416,106
(C₂xC₂₆).₂₇C₂³ = C₂².D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).27C2^3	416,107
(C₂xC₂₆).₂₈C₂³ = Dic₁₃:₃Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).28C2^3	416,108
(C₂xC₂₆).₂₉C₂³ = C₅₂:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).29C2^3	416,109
(C₂xC₂₆).₃₀C₂³ = Dic₁₃.Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).30C2^3	416,110
(C₂xC₂₆).₃₁C₂³ = C₄.Dic₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).31C2^3	416,111
(C₂xC₂₆).₃₂C₂³ = C₄:C₄xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).32C2^3	416,112
(C₂xC₂₆).₃₃C₂³ = C₄:C₄:₇D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).33C2^3	416,113
(C₂xC₂₆).₃₄C₂³ = D₅₂:₈C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).34C2^3	416,114
(C₂xC₂₆).₃₅C₂³ = D₂₆.₁₃D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).35C2^3	416,115
(C₂xC₂₆).₃₆C₂³ = C₄:₂D₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).36C2^3	416,116
(C₂xC₂₆).₃₇C₂³ = D₂₆:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).37C2^3	416,117
(C₂xC₂₆).₃₈C₂³ = D₂₆:₂Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).38C2^3	416,118
(C₂xC₂₆).₃₉C₂³ = C₄:C₄:D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).39C2^3	416,119
(C₂xC₂₆).₄₀C₂³ = C₂xC₄xDic₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).40C2^3	416,143
(C₂xC₂₆).₄₁C₂³ = C₂xC₂₆.D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).41C2^3	416,144
(C₂xC₂₆).₄₂C₂³ = C₅₂.₄₈D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).42C2^3	416,145
(C₂xC₂₆).₄₃C₂³ = C₂xC₅₂:₃C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).43C2^3	416,146
(C₂xC₂₆).₄₄C₂³ = C₂³.₂₁D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).44C2^3	416,147
(C₂xC₂₆).₄₅C₂³ = C₂xD₂₆:C₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).45C2^3	416,148
(C₂xC₂₆).₄₆C₂³ = C₄xC₁₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).46C2^3	416,149
(C₂xC₂₆).₄₇C₂³ = C₂³.₂₃D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).47C2^3	416,150
(C₂xC₂₆).₄₈C₂³ = C₅₂:₇D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).48C2^3	416,151
(C₂xC₂₆).₄₉C₂³ = D₄xDic₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).49C2^3	416,155
(C₂xC₂₆).₅₀C₂³ = C₂³.₁₈D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).50C2^3	416,156
(C₂xC₂₆).₅₁C₂³ = C₅₂.₁₇D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).51C2^3	416,157
(C₂xC₂₆).₅₂C₂³ = C₂³:D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	104		(C2xC26).52C2^3	416,158
(C₂xC₂₆).₅₃C₂³ = C₅₂:₂D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).53C2^3	416,159
(C₂xC₂₆).₅₄C₂³ = Dic₁₃:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).54C2^3	416,160
(C₂xC₂₆).₅₅C₂³ = C₅₂:D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).55C2^3	416,161
(C₂xC₂₆).₅₆C₂³ = Dic₁₃:Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).56C2^3	416,165
(C₂xC₂₆).₅₇C₂³ = Q₈xDic₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).57C2^3	416,166
(C₂xC₂₆).₅₈C₂³ = D₂₆:₃Q₈	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).58C2^3	416,167
(C₂xC₂₆).₅₉C₂³ = C₅₂.₂₃D₄	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).59C2^3	416,168
(C₂xC₂₆).₆₀C₂³ = C₂xC₂³.D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).60C2^3	416,173
(C₂xC₂₆).₆₁C₂³ = C₂⁴:D₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	104		(C2xC26).61C2^3	416,174
(C₂xC₂₆).₆₂C₂³ = C₂²xDic₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).62C2^3	416,212
(C₂xC₂₆).₆₃C₂³ = C₂²xC₄xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).63C2^3	416,213
(C₂xC₂₆).₆₄C₂³ = C₂²xD₅₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).64C2^3	416,214
(C₂xC₂₆).₆₅C₂³ = C₂xD₅₂:₅C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).65C2^3	416,215
(C₂xC₂₆).₆₆C₂³ = C₂xQ₈xD₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).66C2^3	416,219
(C₂xC₂₆).₆₇C₂³ = C₂xD₅₂:C₂	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208		(C2xC26).67C2^3	416,220
(C₂xC₂₆).₆₈C₂³ = Q₈.₁₀D₂₆	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	208	4	(C2xC26).68C2^3	416,221
(C₂xC₂₆).₆₉C₂³ = C₂³xDic₁₃	φ: C₂³/C₂² → C₂ ⊆ Aut C₂xC₂₆	416		(C2xC26).69C2^3	416,225
(C₂xC₂₆).₇₀C₂³ = C₂²:C₄xC₂₆	central extension (φ=1)	208		(C2xC26).70C2^3	416,176
(C₂xC₂₆).₇₁C₂³ = C₄:C₄xC₂₆	central extension (φ=1)	416		(C2xC26).71C2^3	416,177
(C₂xC₂₆).₇₂C₂³ = C₁₃xC₄²:C₂	central extension (φ=1)	208		(C2xC26).72C2^3	416,178
(C₂xC₂₆).₇₃C₂³ = D₄xC₅₂	central extension (φ=1)	208		(C2xC26).73C2^3	416,179
(C₂xC₂₆).₇₄C₂³ = Q₈xC₅₂	central extension (φ=1)	416		(C2xC26).74C2^3	416,180
(C₂xC₂₆).₇₅C₂³ = C₁₃xC₂²wrC₂	central extension (φ=1)	104		(C2xC26).75C2^3	416,181
(C₂xC₂₆).₇₆C₂³ = C₁₃xC₄:D₄	central extension (φ=1)	208		(C2xC26).76C2^3	416,182
(C₂xC₂₆).₇₇C₂³ = C₁₃xC₂²:Q₈	central extension (φ=1)	208		(C2xC26).77C2^3	416,183
(C₂xC₂₆).₇₈C₂³ = C₁₃xC₂².D₄	central extension (φ=1)	208		(C2xC26).78C2^3	416,184
(C₂xC₂₆).₇₉C₂³ = C₁₃xC₄.₄D₄	central extension (φ=1)	208		(C2xC26).79C2^3	416,185
(C₂xC₂₆).₈₀C₂³ = C₁₃xC₄².C₂	central extension (φ=1)	416		(C2xC26).80C2^3	416,186
(C₂xC₂₆).₈₁C₂³ = C₁₃xC₄²:₂C₂	central extension (φ=1)	208		(C2xC26).81C2^3	416,187
(C₂xC₂₆).₈₂C₂³ = C₁₃xC₄:₁D₄	central extension (φ=1)	208		(C2xC26).82C2^3	416,188
(C₂xC₂₆).₈₃C₂³ = C₁₃xC₄:Q₈	central extension (φ=1)	416		(C2xC26).83C2^3	416,189
(C₂xC₂₆).₈₄C₂³ = Q₈xC₂xC₂₆	central extension (φ=1)	416		(C2xC26).84C2^3	416,229

Extensions 1→N→G→Q→1 with N=C2xC26 and Q=C23

Extensions 1→N→G→Q→1 with N=C₂xC₂₆ and Q=C₂³