Extensions 1→N→G→Q→1 with N=C22xC22 and Q=C22

Direct product G=NxQ with N=C22xC22 and Q=C22
dρLabelID
C24xC22352C2^4xC22352,195

Semidirect products G=N:Q with N=C22xC22 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22xC22):1C22 = C11xC22wrC2φ: C22/C1C22 ⊆ Aut C22xC2288(C2^2xC22):1C2^2352,155
(C22xC22):2C22 = C11x2+ 1+4φ: C22/C1C22 ⊆ Aut C22xC22884(C2^2xC22):2C2^2352,192
(C22xC22):3C22 = C23:D22φ: C22/C1C22 ⊆ Aut C22xC2288(C2^2xC22):3C2^2352,132
(C22xC22):4C22 = C2xD4xD11φ: C22/C1C22 ⊆ Aut C22xC2288(C2^2xC22):4C2^2352,177
(C22xC22):5C22 = D4:6D22φ: C22/C1C22 ⊆ Aut C22xC22884(C2^2xC22):5C2^2352,179
(C22xC22):6C22 = D4xC2xC22φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22):6C2^2352,189
(C22xC22):7C22 = C22xC11:D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22):7C2^2352,187
(C22xC22):8C22 = C24xD11φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22):8C2^2352,194

Non-split extensions G=N.Q with N=C22xC22 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22xC22).1C22 = C11xC23:C4φ: C22/C1C22 ⊆ Aut C22xC22884(C2^2xC22).1C2^2352,48
(C22xC22).2C22 = C11xC4.4D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).2C2^2352,159
(C22xC22).3C22 = C11xC42:2C2φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).3C2^2352,161
(C22xC22).4C22 = C11xC4:1D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).4C2^2352,162
(C22xC22).5C22 = C22.2D44φ: C22/C1C22 ⊆ Aut C22xC22884(C2^2xC22).5C2^2352,12
(C22xC22).6C22 = C23:Dic11φ: C22/C1C22 ⊆ Aut C22xC22884(C2^2xC22).6C2^2352,40
(C22xC22).7C22 = C23.11D22φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).7C2^2352,72
(C22xC22).8C22 = C22:Dic22φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).8C2^2352,73
(C22xC22).9C22 = C23.D22φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).9C2^2352,74
(C22xC22).10C22 = C22:C4xD11φ: C22/C1C22 ⊆ Aut C22xC2288(C2^2xC22).10C2^2352,75
(C22xC22).11C22 = Dic11:4D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).11C2^2352,76
(C22xC22).12C22 = C22:D44φ: C22/C1C22 ⊆ Aut C22xC2288(C2^2xC22).12C2^2352,77
(C22xC22).13C22 = D22.D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).13C2^2352,78
(C22xC22).14C22 = D22:D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).14C2^2352,79
(C22xC22).15C22 = Dic11.D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).15C2^2352,80
(C22xC22).16C22 = C22.D44φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).16C2^2352,81
(C22xC22).17C22 = D4xDic11φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).17C2^2352,129
(C22xC22).18C22 = C23.18D22φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).18C2^2352,130
(C22xC22).19C22 = C44.17D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).19C2^2352,131
(C22xC22).20C22 = C44:2D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).20C2^2352,133
(C22xC22).21C22 = Dic11:D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).21C2^2352,134
(C22xC22).22C22 = C44:D4φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).22C2^2352,135
(C22xC22).23C22 = C2xD4:2D11φ: C22/C1C22 ⊆ Aut C22xC22176(C2^2xC22).23C2^2352,178
(C22xC22).24C22 = C22:C4xC22φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).24C2^2352,150
(C22xC22).25C22 = C11xC42:C2φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).25C2^2352,152
(C22xC22).26C22 = D4xC44φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).26C2^2352,153
(C22xC22).27C22 = C11xC4:D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).27C2^2352,156
(C22xC22).28C22 = C11xC22:Q8φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).28C2^2352,157
(C22xC22).29C22 = C11xC22.D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).29C2^2352,158
(C22xC22).30C22 = C4oD4xC22φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).30C2^2352,191
(C22xC22).31C22 = C22.C42φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).31C2^2352,37
(C22xC22).32C22 = C2xC4xDic11φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).32C2^2352,117
(C22xC22).33C22 = C2xDic11:C4φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).33C2^2352,118
(C22xC22).34C22 = C44.48D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).34C2^2352,119
(C22xC22).35C22 = C2xC44:C4φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).35C2^2352,120
(C22xC22).36C22 = C23.21D22φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).36C2^2352,121
(C22xC22).37C22 = C2xD22:C4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).37C2^2352,122
(C22xC22).38C22 = C4xC11:D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).38C2^2352,123
(C22xC22).39C22 = C23.23D22φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).39C2^2352,124
(C22xC22).40C22 = C44:7D4φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).40C2^2352,125
(C22xC22).41C22 = C2xC23.D11φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).41C2^2352,147
(C22xC22).42C22 = C24:D11φ: C22/C2C2 ⊆ Aut C22xC2288(C2^2xC22).42C2^2352,148
(C22xC22).43C22 = C22xDic22φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).43C2^2352,173
(C22xC22).44C22 = C22xC4xD11φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).44C2^2352,174
(C22xC22).45C22 = C22xD44φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).45C2^2352,175
(C22xC22).46C22 = C2xD44:5C2φ: C22/C2C2 ⊆ Aut C22xC22176(C2^2xC22).46C2^2352,176
(C22xC22).47C22 = C23xDic11φ: C22/C2C2 ⊆ Aut C22xC22352(C2^2xC22).47C2^2352,186
(C22xC22).48C22 = C11xC2.C42central extension (φ=1)352(C2^2xC22).48C2^2352,44
(C22xC22).49C22 = C4:C4xC22central extension (φ=1)352(C2^2xC22).49C2^2352,151
(C22xC22).50C22 = Q8xC2xC22central extension (φ=1)352(C2^2xC22).50C2^2352,190

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