Extensions 1→N→G→Q→1 with N=C22xC26 and Q=C22

Direct product G=NxQ with N=C22xC26 and Q=C22
dρLabelID
C24xC26416C2^4xC26416,235

Semidirect products G=N:Q with N=C22xC26 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22xC26):1C22 = C13xC22wrC2φ: C22/C1C22 ⊆ Aut C22xC26104(C2^2xC26):1C2^2416,181
(C22xC26):2C22 = C13x2+ 1+4φ: C22/C1C22 ⊆ Aut C22xC261044(C2^2xC26):2C2^2416,231
(C22xC26):3C22 = C23:D26φ: C22/C1C22 ⊆ Aut C22xC26104(C2^2xC26):3C2^2416,158
(C22xC26):4C22 = C2xD4xD13φ: C22/C1C22 ⊆ Aut C22xC26104(C2^2xC26):4C2^2416,216
(C22xC26):5C22 = D4:6D26φ: C22/C1C22 ⊆ Aut C22xC261044(C2^2xC26):5C2^2416,218
(C22xC26):6C22 = D4xC2xC26φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26):6C2^2416,228
(C22xC26):7C22 = C22xC13:D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26):7C2^2416,226
(C22xC26):8C22 = C24xD13φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26):8C2^2416,234

Non-split extensions G=N.Q with N=C22xC26 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22xC26).1C22 = C13xC23:C4φ: C22/C1C22 ⊆ Aut C22xC261044(C2^2xC26).1C2^2416,49
(C22xC26).2C22 = C13xC4.4D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).2C2^2416,185
(C22xC26).3C22 = C13xC42:2C2φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).3C2^2416,187
(C22xC26).4C22 = C13xC4:1D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).4C2^2416,188
(C22xC26).5C22 = C22.2D52φ: C22/C1C22 ⊆ Aut C22xC261044(C2^2xC26).5C2^2416,13
(C22xC26).6C22 = C23:Dic13φ: C22/C1C22 ⊆ Aut C22xC261044(C2^2xC26).6C2^2416,41
(C22xC26).7C22 = C23.11D26φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).7C2^2416,98
(C22xC26).8C22 = C22:Dic26φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).8C2^2416,99
(C22xC26).9C22 = C23.D26φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).9C2^2416,100
(C22xC26).10C22 = C22:C4xD13φ: C22/C1C22 ⊆ Aut C22xC26104(C2^2xC26).10C2^2416,101
(C22xC26).11C22 = Dic13:4D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).11C2^2416,102
(C22xC26).12C22 = C22:D52φ: C22/C1C22 ⊆ Aut C22xC26104(C2^2xC26).12C2^2416,103
(C22xC26).13C22 = D26.12D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).13C2^2416,104
(C22xC26).14C22 = D26:D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).14C2^2416,105
(C22xC26).15C22 = C23.6D26φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).15C2^2416,106
(C22xC26).16C22 = C22.D52φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).16C2^2416,107
(C22xC26).17C22 = D4xDic13φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).17C2^2416,155
(C22xC26).18C22 = C23.18D26φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).18C2^2416,156
(C22xC26).19C22 = C52.17D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).19C2^2416,157
(C22xC26).20C22 = C52:2D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).20C2^2416,159
(C22xC26).21C22 = Dic13:D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).21C2^2416,160
(C22xC26).22C22 = C52:D4φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).22C2^2416,161
(C22xC26).23C22 = C2xD4:2D13φ: C22/C1C22 ⊆ Aut C22xC26208(C2^2xC26).23C2^2416,217
(C22xC26).24C22 = C22:C4xC26φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).24C2^2416,176
(C22xC26).25C22 = C13xC42:C2φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).25C2^2416,178
(C22xC26).26C22 = D4xC52φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).26C2^2416,179
(C22xC26).27C22 = C13xC4:D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).27C2^2416,182
(C22xC26).28C22 = C13xC22:Q8φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).28C2^2416,183
(C22xC26).29C22 = C13xC22.D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).29C2^2416,184
(C22xC26).30C22 = C4oD4xC26φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).30C2^2416,230
(C22xC26).31C22 = C26.10C42φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).31C2^2416,38
(C22xC26).32C22 = C2xC4xDic13φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).32C2^2416,143
(C22xC26).33C22 = C2xC26.D4φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).33C2^2416,144
(C22xC26).34C22 = C52.48D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).34C2^2416,145
(C22xC26).35C22 = C2xC52:3C4φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).35C2^2416,146
(C22xC26).36C22 = C23.21D26φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).36C2^2416,147
(C22xC26).37C22 = C2xD26:C4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).37C2^2416,148
(C22xC26).38C22 = C4xC13:D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).38C2^2416,149
(C22xC26).39C22 = C23.23D26φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).39C2^2416,150
(C22xC26).40C22 = C52:7D4φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).40C2^2416,151
(C22xC26).41C22 = C2xC23.D13φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).41C2^2416,173
(C22xC26).42C22 = C24:D13φ: C22/C2C2 ⊆ Aut C22xC26104(C2^2xC26).42C2^2416,174
(C22xC26).43C22 = C22xDic26φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).43C2^2416,212
(C22xC26).44C22 = C22xC4xD13φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).44C2^2416,213
(C22xC26).45C22 = C22xD52φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).45C2^2416,214
(C22xC26).46C22 = C2xD52:5C2φ: C22/C2C2 ⊆ Aut C22xC26208(C2^2xC26).46C2^2416,215
(C22xC26).47C22 = C23xDic13φ: C22/C2C2 ⊆ Aut C22xC26416(C2^2xC26).47C2^2416,225
(C22xC26).48C22 = C13xC2.C42central extension (φ=1)416(C2^2xC26).48C2^2416,45
(C22xC26).49C22 = C4:C4xC26central extension (φ=1)416(C2^2xC26).49C2^2416,177
(C22xC26).50C22 = Q8xC2xC26central extension (φ=1)416(C2^2xC26).50C2^2416,229

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