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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C23

Direct product G=N×Q with N=C2×C10 and Q=C23
dρLabelID
C24×C10160C2^4xC10160,238

Semidirect products G=N:Q with N=C2×C10 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊C23 = C2×D4×D5φ: C23/C2 → C22 ⊆ Aut C2×C1040(C2xC10):C2^3160,217
(C2×C10)⋊2C23 = D4×C2×C10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10):2C2^3160,229
(C2×C10)⋊3C23 = C22×C5⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10):3C2^3160,227
(C2×C10)⋊4C23 = D5×C24φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10):4C2^3160,237

Non-split extensions G=N.Q with N=C2×C10 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C10).1C23 = C2×D4⋊2D5φ: C23/C2 → C22 ⊆ Aut C2×C1080(C2xC10).1C2^3160,218
(C2×C10).2C23 = D4⋊6D10φ: C23/C2 → C22 ⊆ Aut C2×C10404(C2xC10).2C2^3160,219
(C2×C10).3C23 = D5×C4○D4φ: C23/C2 → C22 ⊆ Aut C2×C10404(C2xC10).3C2^3160,223
(C2×C10).4C23 = D4⋊8D10φ: C23/C2 → C22 ⊆ Aut C2×C10404+(C2xC10).4C2^3160,224
(C2×C10).5C23 = D4.10D10φ: C23/C2 → C22 ⊆ Aut C2×C10804-(C2xC10).5C2^3160,225
(C2×C10).6C23 = C10×C4○D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).6C2^3160,231
(C2×C10).7C23 = C5×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C2×C10404(C2xC10).7C2^3160,232
(C2×C10).8C23 = C5×2- 1+4φ: C23/C22 → C2 ⊆ Aut C2×C10804(C2xC10).8C2^3160,233
(C2×C10).9C23 = C4×Dic10φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).9C2^3160,89
(C2×C10).10C23 = C20⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).10C2^3160,90
(C2×C10).11C23 = C20.6Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).11C2^3160,91
(C2×C10).12C23 = D5×C42φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).12C2^3160,92
(C2×C10).13C23 = C42⋊D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).13C2^3160,93
(C2×C10).14C23 = C4×D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).14C2^3160,94
(C2×C10).15C23 = C20⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).15C2^3160,95
(C2×C10).16C23 = C4.D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).16C2^3160,96
(C2×C10).17C23 = C42⋊2D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).17C2^3160,97
(C2×C10).18C23 = C23.11D10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).18C2^3160,98
(C2×C10).19C23 = Dic5.14D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).19C2^3160,99
(C2×C10).20C23 = C23.D10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).20C2^3160,100
(C2×C10).21C23 = D5×C22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C1040(C2xC10).21C2^3160,101
(C2×C10).22C23 = Dic5⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).22C2^3160,102
(C2×C10).23C23 = C22⋊D20φ: C23/C22 → C2 ⊆ Aut C2×C1040(C2xC10).23C2^3160,103
(C2×C10).24C23 = D10.12D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).24C2^3160,104
(C2×C10).25C23 = D10⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).25C2^3160,105
(C2×C10).26C23 = Dic5.5D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).26C2^3160,106
(C2×C10).27C23 = C22.D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).27C2^3160,107
(C2×C10).28C23 = Dic5⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).28C2^3160,108
(C2×C10).29C23 = C20⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).29C2^3160,109
(C2×C10).30C23 = Dic5.Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).30C2^3160,110
(C2×C10).31C23 = C4.Dic10φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).31C2^3160,111
(C2×C10).32C23 = D5×C4⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).32C2^3160,112
(C2×C10).33C23 = C4⋊C4⋊7D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).33C2^3160,113
(C2×C10).34C23 = D20⋊8C4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).34C2^3160,114
(C2×C10).35C23 = D10.13D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).35C2^3160,115
(C2×C10).36C23 = C4⋊D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).36C2^3160,116
(C2×C10).37C23 = D10⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).37C2^3160,117
(C2×C10).38C23 = D10⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).38C2^3160,118
(C2×C10).39C23 = C4⋊C4⋊D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).39C2^3160,119
(C2×C10).40C23 = C2×C4×Dic5φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).40C2^3160,143
(C2×C10).41C23 = C2×C10.D4φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).41C2^3160,144
(C2×C10).42C23 = C20.48D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).42C2^3160,145
(C2×C10).43C23 = C2×C4⋊Dic5φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).43C2^3160,146
(C2×C10).44C23 = C23.21D10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).44C2^3160,147
(C2×C10).45C23 = C2×D10⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).45C2^3160,148
(C2×C10).46C23 = C4×C5⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).46C2^3160,149
(C2×C10).47C23 = C23.23D10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).47C2^3160,150
(C2×C10).48C23 = C20⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).48C2^3160,151
(C2×C10).49C23 = D4×Dic5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).49C2^3160,155
(C2×C10).50C23 = C23.18D10φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).50C2^3160,156
(C2×C10).51C23 = C20.17D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).51C2^3160,157
(C2×C10).52C23 = C23⋊D10φ: C23/C22 → C2 ⊆ Aut C2×C1040(C2xC10).52C2^3160,158
(C2×C10).53C23 = C20⋊2D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).53C2^3160,159
(C2×C10).54C23 = Dic5⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).54C2^3160,160
(C2×C10).55C23 = C20⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).55C2^3160,161
(C2×C10).56C23 = Dic5⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).56C2^3160,165
(C2×C10).57C23 = Q8×Dic5φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).57C2^3160,166
(C2×C10).58C23 = D10⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).58C2^3160,167
(C2×C10).59C23 = C20.23D4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).59C2^3160,168
(C2×C10).60C23 = C2×C23.D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).60C2^3160,173
(C2×C10).61C23 = C24⋊2D5φ: C23/C22 → C2 ⊆ Aut C2×C1040(C2xC10).61C2^3160,174
(C2×C10).62C23 = C22×Dic10φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).62C2^3160,213
(C2×C10).63C23 = D5×C22×C4φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).63C2^3160,214
(C2×C10).64C23 = C22×D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).64C2^3160,215
(C2×C10).65C23 = C2×C4○D20φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).65C2^3160,216
(C2×C10).66C23 = C2×Q8×D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).66C2^3160,220
(C2×C10).67C23 = C2×Q8⋊2D5φ: C23/C22 → C2 ⊆ Aut C2×C1080(C2xC10).67C2^3160,221
(C2×C10).68C23 = Q8.10D10φ: C23/C22 → C2 ⊆ Aut C2×C10804(C2xC10).68C2^3160,222
(C2×C10).69C23 = C23×Dic5φ: C23/C22 → C2 ⊆ Aut C2×C10160(C2xC10).69C2^3160,226
(C2×C10).70C23 = C10×C22⋊C4central extension (φ=1)80(C2xC10).70C2^3160,176
(C2×C10).71C23 = C10×C4⋊C4central extension (φ=1)160(C2xC10).71C2^3160,177
(C2×C10).72C23 = C5×C42⋊C2central extension (φ=1)80(C2xC10).72C2^3160,178
(C2×C10).73C23 = D4×C20central extension (φ=1)80(C2xC10).73C2^3160,179
(C2×C10).74C23 = Q8×C20central extension (φ=1)160(C2xC10).74C2^3160,180
(C2×C10).75C23 = C5×C22≀C2central extension (φ=1)40(C2xC10).75C2^3160,181
(C2×C10).76C23 = C5×C4⋊D4central extension (φ=1)80(C2xC10).76C2^3160,182
(C2×C10).77C23 = C5×C22⋊Q8central extension (φ=1)80(C2xC10).77C2^3160,183
(C2×C10).78C23 = C5×C22.D4central extension (φ=1)80(C2xC10).78C2^3160,184
(C2×C10).79C23 = C5×C4.4D4central extension (φ=1)80(C2xC10).79C2^3160,185
(C2×C10).80C23 = C5×C42.C2central extension (φ=1)160(C2xC10).80C2^3160,186
(C2×C10).81C23 = C5×C42⋊2C2central extension (φ=1)80(C2xC10).81C2^3160,187
(C2×C10).82C23 = C5×C4⋊1D4central extension (φ=1)80(C2xC10).82C2^3160,188
(C2×C10).83C23 = C5×C4⋊Q8central extension (φ=1)160(C2xC10).83C2^3160,189
(C2×C10).84C23 = Q8×C2×C10central extension (φ=1)160(C2xC10).84C2^3160,230

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