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Extensions 1→N→G→Q→1 with N=C2×C22 and Q=C23

Direct product G=N×Q with N=C2×C22 and Q=C23
dρLabelID
C24×C22352C2^4xC22352,195

Semidirect products G=N:Q with N=C2×C22 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C22)⋊C23 = C2×D4×D11φ: C23/C2 → C22 ⊆ Aut C2×C2288(C2xC22):C2^3352,177
(C2×C22)⋊2C23 = D4×C2×C22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22):2C2^3352,189
(C2×C22)⋊3C23 = C22×C11⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22):3C2^3352,187
(C2×C22)⋊4C23 = C24×D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22):4C2^3352,194

Non-split extensions G=N.Q with N=C2×C22 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C22).1C23 = C2×D4⋊2D11φ: C23/C2 → C22 ⊆ Aut C2×C22176(C2xC22).1C2^3352,178
(C2×C22).2C23 = D4⋊6D22φ: C23/C2 → C22 ⊆ Aut C2×C22884(C2xC22).2C2^3352,179
(C2×C22).3C23 = C4○D4×D11φ: C23/C2 → C22 ⊆ Aut C2×C22884(C2xC22).3C2^3352,183
(C2×C22).4C23 = D4⋊8D22φ: C23/C2 → C22 ⊆ Aut C2×C22884+(C2xC22).4C2^3352,184
(C2×C22).5C23 = D4.10D22φ: C23/C2 → C22 ⊆ Aut C2×C221764-(C2xC22).5C2^3352,185
(C2×C22).6C23 = C4○D4×C22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).6C2^3352,191
(C2×C22).7C23 = C11×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C2×C22884(C2xC22).7C2^3352,192
(C2×C22).8C23 = C11×2- 1+4φ: C23/C22 → C2 ⊆ Aut C2×C221764(C2xC22).8C2^3352,193
(C2×C22).9C23 = C4×Dic22φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).9C2^3352,63
(C2×C22).10C23 = C44⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).10C2^3352,64
(C2×C22).11C23 = C44.6Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).11C2^3352,65
(C2×C22).12C23 = C42×D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).12C2^3352,66
(C2×C22).13C23 = C42⋊D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).13C2^3352,67
(C2×C22).14C23 = C4×D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).14C2^3352,68
(C2×C22).15C23 = C4⋊D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).15C2^3352,69
(C2×C22).16C23 = C4.D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).16C2^3352,70
(C2×C22).17C23 = C42⋊2D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).17C2^3352,71
(C2×C22).18C23 = C23.11D22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).18C2^3352,72
(C2×C22).19C23 = C22⋊Dic22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).19C2^3352,73
(C2×C22).20C23 = C23.D22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).20C2^3352,74
(C2×C22).21C23 = C22⋊C4×D11φ: C23/C22 → C2 ⊆ Aut C2×C2288(C2xC22).21C2^3352,75
(C2×C22).22C23 = Dic11⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).22C2^3352,76
(C2×C22).23C23 = C22⋊D44φ: C23/C22 → C2 ⊆ Aut C2×C2288(C2xC22).23C2^3352,77
(C2×C22).24C23 = D22.D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).24C2^3352,78
(C2×C22).25C23 = D22⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).25C2^3352,79
(C2×C22).26C23 = Dic11.D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).26C2^3352,80
(C2×C22).27C23 = C22.D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).27C2^3352,81
(C2×C22).28C23 = Dic22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).28C2^3352,82
(C2×C22).29C23 = C44⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).29C2^3352,83
(C2×C22).30C23 = Dic11.Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).30C2^3352,84
(C2×C22).31C23 = C44.3Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).31C2^3352,85
(C2×C22).32C23 = C4⋊C4×D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).32C2^3352,86
(C2×C22).33C23 = C4⋊C4⋊7D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).33C2^3352,87
(C2×C22).34C23 = D44⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).34C2^3352,88
(C2×C22).35C23 = D22.5D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).35C2^3352,89
(C2×C22).36C23 = C4⋊2D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).36C2^3352,90
(C2×C22).37C23 = D22⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).37C2^3352,91
(C2×C22).38C23 = D22⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).38C2^3352,92
(C2×C22).39C23 = C4⋊C4⋊D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).39C2^3352,93
(C2×C22).40C23 = C2×C4×Dic11φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).40C2^3352,117
(C2×C22).41C23 = C2×Dic11⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).41C2^3352,118
(C2×C22).42C23 = C44.48D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).42C2^3352,119
(C2×C22).43C23 = C2×C44⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).43C2^3352,120
(C2×C22).44C23 = C23.21D22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).44C2^3352,121
(C2×C22).45C23 = C2×D22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).45C2^3352,122
(C2×C22).46C23 = C4×C11⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).46C2^3352,123
(C2×C22).47C23 = C23.23D22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).47C2^3352,124
(C2×C22).48C23 = C44⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).48C2^3352,125
(C2×C22).49C23 = D4×Dic11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).49C2^3352,129
(C2×C22).50C23 = C23.18D22φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).50C2^3352,130
(C2×C22).51C23 = C44.17D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).51C2^3352,131
(C2×C22).52C23 = C23⋊D22φ: C23/C22 → C2 ⊆ Aut C2×C2288(C2xC22).52C2^3352,132
(C2×C22).53C23 = C44⋊2D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).53C2^3352,133
(C2×C22).54C23 = Dic11⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).54C2^3352,134
(C2×C22).55C23 = C44⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).55C2^3352,135
(C2×C22).56C23 = Dic11⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).56C2^3352,139
(C2×C22).57C23 = Q8×Dic11φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).57C2^3352,140
(C2×C22).58C23 = D22⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).58C2^3352,141
(C2×C22).59C23 = C44.23D4φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).59C2^3352,142
(C2×C22).60C23 = C2×C23.D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).60C2^3352,147
(C2×C22).61C23 = C24⋊D11φ: C23/C22 → C2 ⊆ Aut C2×C2288(C2xC22).61C2^3352,148
(C2×C22).62C23 = C22×Dic22φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).62C2^3352,173
(C2×C22).63C23 = C22×C4×D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).63C2^3352,174
(C2×C22).64C23 = C22×D44φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).64C2^3352,175
(C2×C22).65C23 = C2×D44⋊5C2φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).65C2^3352,176
(C2×C22).66C23 = C2×Q8×D11φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).66C2^3352,180
(C2×C22).67C23 = C2×D44⋊C2φ: C23/C22 → C2 ⊆ Aut C2×C22176(C2xC22).67C2^3352,181
(C2×C22).68C23 = Q8.10D22φ: C23/C22 → C2 ⊆ Aut C2×C221764(C2xC22).68C2^3352,182
(C2×C22).69C23 = C23×Dic11φ: C23/C22 → C2 ⊆ Aut C2×C22352(C2xC22).69C2^3352,186
(C2×C22).70C23 = C22⋊C4×C22central extension (φ=1)176(C2xC22).70C2^3352,150
(C2×C22).71C23 = C4⋊C4×C22central extension (φ=1)352(C2xC22).71C2^3352,151
(C2×C22).72C23 = C11×C42⋊C2central extension (φ=1)176(C2xC22).72C2^3352,152
(C2×C22).73C23 = D4×C44central extension (φ=1)176(C2xC22).73C2^3352,153
(C2×C22).74C23 = Q8×C44central extension (φ=1)352(C2xC22).74C2^3352,154
(C2×C22).75C23 = C11×C22≀C2central extension (φ=1)88(C2xC22).75C2^3352,155
(C2×C22).76C23 = C11×C4⋊D4central extension (φ=1)176(C2xC22).76C2^3352,156
(C2×C22).77C23 = C11×C22⋊Q8central extension (φ=1)176(C2xC22).77C2^3352,157
(C2×C22).78C23 = C11×C22.D4central extension (φ=1)176(C2xC22).78C2^3352,158
(C2×C22).79C23 = C11×C4.4D4central extension (φ=1)176(C2xC22).79C2^3352,159
(C2×C22).80C23 = C11×C42.C2central extension (φ=1)352(C2xC22).80C2^3352,160
(C2×C22).81C23 = C11×C42⋊2C2central extension (φ=1)176(C2xC22).81C2^3352,161
(C2×C22).82C23 = C11×C4⋊1D4central extension (φ=1)176(C2xC22).82C2^3352,162
(C2×C22).83C23 = C11×C4⋊Q8central extension (φ=1)352(C2xC22).83C2^3352,163
(C2×C22).84C23 = Q8×C2×C22central extension (φ=1)352(C2xC22).84C2^3352,190

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