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

Direct product G=N×Q with N=C22×C22 and Q=C22
dρLabelID
C24×C22352C2^4xC22352,195

Semidirect products G=N:Q with N=C22×C22 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C22)⋊1C22 = C11×C22≀C2φ: C22/C1 → C22 ⊆ Aut C22×C2288(C2^2xC22):1C2^2352,155
(C22×C22)⋊2C22 = C11×2+ 1+4φ: C22/C1 → C22 ⊆ Aut C22×C22884(C2^2xC22):2C2^2352,192
(C22×C22)⋊3C22 = C23⋊D22φ: C22/C1 → C22 ⊆ Aut C22×C2288(C2^2xC22):3C2^2352,132
(C22×C22)⋊4C22 = C2×D4×D11φ: C22/C1 → C22 ⊆ Aut C22×C2288(C2^2xC22):4C2^2352,177
(C22×C22)⋊5C22 = D4⋊6D22φ: C22/C1 → C22 ⊆ Aut C22×C22884(C2^2xC22):5C2^2352,179
(C22×C22)⋊6C22 = D4×C2×C22φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22):6C2^2352,189
(C22×C22)⋊7C22 = C22×C11⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22):7C2^2352,187
(C22×C22)⋊8C22 = C24×D11φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22):8C2^2352,194

Non-split extensions G=N.Q with N=C22×C22 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C22).1C22 = C11×C23⋊C4φ: C22/C1 → C22 ⊆ Aut C22×C22884(C2^2xC22).1C2^2352,48
(C22×C22).2C22 = C11×C4.4D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).2C2^2352,159
(C22×C22).3C22 = C11×C42⋊2C2φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).3C2^2352,161
(C22×C22).4C22 = C11×C4⋊1D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).4C2^2352,162
(C22×C22).5C22 = C22.2D44φ: C22/C1 → C22 ⊆ Aut C22×C22884(C2^2xC22).5C2^2352,12
(C22×C22).6C22 = C23⋊Dic11φ: C22/C1 → C22 ⊆ Aut C22×C22884(C2^2xC22).6C2^2352,40
(C22×C22).7C22 = C23.11D22φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).7C2^2352,72
(C22×C22).8C22 = C22⋊Dic22φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).8C2^2352,73
(C22×C22).9C22 = C23.D22φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).9C2^2352,74
(C22×C22).10C22 = C22⋊C4×D11φ: C22/C1 → C22 ⊆ Aut C22×C2288(C2^2xC22).10C2^2352,75
(C22×C22).11C22 = Dic11⋊4D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).11C2^2352,76
(C22×C22).12C22 = C22⋊D44φ: C22/C1 → C22 ⊆ Aut C22×C2288(C2^2xC22).12C2^2352,77
(C22×C22).13C22 = D22.D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).13C2^2352,78
(C22×C22).14C22 = D22⋊D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).14C2^2352,79
(C22×C22).15C22 = Dic11.D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).15C2^2352,80
(C22×C22).16C22 = C22.D44φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).16C2^2352,81
(C22×C22).17C22 = D4×Dic11φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).17C2^2352,129
(C22×C22).18C22 = C23.18D22φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).18C2^2352,130
(C22×C22).19C22 = C44.17D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).19C2^2352,131
(C22×C22).20C22 = C44⋊2D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).20C2^2352,133
(C22×C22).21C22 = Dic11⋊D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).21C2^2352,134
(C22×C22).22C22 = C44⋊D4φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).22C2^2352,135
(C22×C22).23C22 = C2×D4⋊2D11φ: C22/C1 → C22 ⊆ Aut C22×C22176(C2^2xC22).23C2^2352,178
(C22×C22).24C22 = C22⋊C4×C22φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).24C2^2352,150
(C22×C22).25C22 = C11×C42⋊C2φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).25C2^2352,152
(C22×C22).26C22 = D4×C44φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).26C2^2352,153
(C22×C22).27C22 = C11×C4⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).27C2^2352,156
(C22×C22).28C22 = C11×C22⋊Q8φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).28C2^2352,157
(C22×C22).29C22 = C11×C22.D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).29C2^2352,158
(C22×C22).30C22 = C4○D4×C22φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).30C2^2352,191
(C22×C22).31C22 = C22.C42φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).31C2^2352,37
(C22×C22).32C22 = C2×C4×Dic11φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).32C2^2352,117
(C22×C22).33C22 = C2×Dic11⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).33C2^2352,118
(C22×C22).34C22 = C44.48D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).34C2^2352,119
(C22×C22).35C22 = C2×C44⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).35C2^2352,120
(C22×C22).36C22 = C23.21D22φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).36C2^2352,121
(C22×C22).37C22 = C2×D22⋊C4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).37C2^2352,122
(C22×C22).38C22 = C4×C11⋊D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).38C2^2352,123
(C22×C22).39C22 = C23.23D22φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).39C2^2352,124
(C22×C22).40C22 = C44⋊7D4φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).40C2^2352,125
(C22×C22).41C22 = C2×C23.D11φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).41C2^2352,147
(C22×C22).42C22 = C24⋊D11φ: C22/C2 → C2 ⊆ Aut C22×C2288(C2^2xC22).42C2^2352,148
(C22×C22).43C22 = C22×Dic22φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).43C2^2352,173
(C22×C22).44C22 = C22×C4×D11φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).44C2^2352,174
(C22×C22).45C22 = C22×D44φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).45C2^2352,175
(C22×C22).46C22 = C2×D44⋊5C2φ: C22/C2 → C2 ⊆ Aut C22×C22176(C2^2xC22).46C2^2352,176
(C22×C22).47C22 = C23×Dic11φ: C22/C2 → C2 ⊆ Aut C22×C22352(C2^2xC22).47C2^2352,186
(C22×C22).48C22 = C11×C2.C42central extension (φ=1)352(C2^2xC22).48C2^2352,44
(C22×C22).49C22 = C4⋊C4×C22central extension (φ=1)352(C2^2xC22).49C2^2352,151
(C22×C22).50C22 = Q8×C2×C22central extension (φ=1)352(C2^2xC22).50C2^2352,190

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