# Extensions 1→N→G→Q→1 with N=C20 and Q=C23

Direct product G=N×Q with N=C20 and Q=C23
dρLabelID
C23×C20160C2^3xC20160,228

Semidirect products G=N:Q with N=C20 and Q=C23
extensionφ:Q→Aut NdρLabelID
C20⋊C23 = C2×D4×D5φ: C23/C2C22 ⊆ Aut C2040C20:C2^3160,217
C202C23 = C22×D20φ: C23/C22C2 ⊆ Aut C2080C20:2C2^3160,215
C203C23 = D5×C22×C4φ: C23/C22C2 ⊆ Aut C2080C20:3C2^3160,214
C204C23 = D4×C2×C10φ: C23/C22C2 ⊆ Aut C2080C20:4C2^3160,229

Non-split extensions G=N.Q with N=C20 and Q=C23
extensionφ:Q→Aut NdρLabelID
C20.1C23 = D5×D8φ: C23/C2C22 ⊆ Aut C20404+C20.1C2^3160,131
C20.2C23 = D8⋊D5φ: C23/C2C22 ⊆ Aut C20404C20.2C2^3160,132
C20.3C23 = D83D5φ: C23/C2C22 ⊆ Aut C20804-C20.3C2^3160,133
C20.4C23 = D5×SD16φ: C23/C2C22 ⊆ Aut C20404C20.4C2^3160,134
C20.5C23 = D40⋊C2φ: C23/C2C22 ⊆ Aut C20404+C20.5C2^3160,135
C20.6C23 = SD16⋊D5φ: C23/C2C22 ⊆ Aut C20804-C20.6C2^3160,136
C20.7C23 = SD163D5φ: C23/C2C22 ⊆ Aut C20804C20.7C2^3160,137
C20.8C23 = D5×Q16φ: C23/C2C22 ⊆ Aut C20804-C20.8C2^3160,138
C20.9C23 = Q16⋊D5φ: C23/C2C22 ⊆ Aut C20804C20.9C2^3160,139
C20.10C23 = Q8.D10φ: C23/C2C22 ⊆ Aut C20804+C20.10C2^3160,140
C20.11C23 = C2×D4⋊D5φ: C23/C2C22 ⊆ Aut C2080C20.11C2^3160,152
C20.12C23 = D4.D10φ: C23/C2C22 ⊆ Aut C20404C20.12C2^3160,153
C20.13C23 = C2×D4.D5φ: C23/C2C22 ⊆ Aut C2080C20.13C2^3160,154
C20.14C23 = C2×Q8⋊D5φ: C23/C2C22 ⊆ Aut C2080C20.14C2^3160,162
C20.15C23 = C20.C23φ: C23/C2C22 ⊆ Aut C20804C20.15C2^3160,163
C20.16C23 = C2×C5⋊Q16φ: C23/C2C22 ⊆ Aut C20160C20.16C2^3160,164
C20.17C23 = D4⋊D10φ: C23/C2C22 ⊆ Aut C20404+C20.17C2^3160,170
C20.18C23 = D4.8D10φ: C23/C2C22 ⊆ Aut C20804C20.18C2^3160,171
C20.19C23 = D4.9D10φ: C23/C2C22 ⊆ Aut C20804-C20.19C2^3160,172
C20.20C23 = C2×D42D5φ: C23/C2C22 ⊆ Aut C2080C20.20C2^3160,218
C20.21C23 = D46D10φ: C23/C2C22 ⊆ Aut C20404C20.21C2^3160,219
C20.22C23 = C2×Q8×D5φ: C23/C2C22 ⊆ Aut C2080C20.22C2^3160,220
C20.23C23 = C2×Q82D5φ: C23/C2C22 ⊆ Aut C2080C20.23C2^3160,221
C20.24C23 = Q8.10D10φ: C23/C2C22 ⊆ Aut C20804C20.24C2^3160,222
C20.25C23 = D5×C4○D4φ: C23/C2C22 ⊆ Aut C20404C20.25C2^3160,223
C20.26C23 = D48D10φ: C23/C2C22 ⊆ Aut C20404+C20.26C2^3160,224
C20.27C23 = D4.10D10φ: C23/C2C22 ⊆ Aut C20804-C20.27C2^3160,225
C20.28C23 = C2×C40⋊C2φ: C23/C22C2 ⊆ Aut C2080C20.28C2^3160,123
C20.29C23 = C2×D40φ: C23/C22C2 ⊆ Aut C2080C20.29C2^3160,124
C20.30C23 = D407C2φ: C23/C22C2 ⊆ Aut C20802C20.30C2^3160,125
C20.31C23 = C2×Dic20φ: C23/C22C2 ⊆ Aut C20160C20.31C2^3160,126
C20.32C23 = C8⋊D10φ: C23/C22C2 ⊆ Aut C20404+C20.32C2^3160,129
C20.33C23 = C8.D10φ: C23/C22C2 ⊆ Aut C20804-C20.33C2^3160,130
C20.34C23 = C22×Dic10φ: C23/C22C2 ⊆ Aut C20160C20.34C2^3160,213
C20.35C23 = D5×C2×C8φ: C23/C22C2 ⊆ Aut C2080C20.35C2^3160,120
C20.36C23 = C2×C8⋊D5φ: C23/C22C2 ⊆ Aut C2080C20.36C2^3160,121
C20.37C23 = D20.3C4φ: C23/C22C2 ⊆ Aut C20802C20.37C2^3160,122
C20.38C23 = D5×M4(2)φ: C23/C22C2 ⊆ Aut C20404C20.38C2^3160,127
C20.39C23 = D20.2C4φ: C23/C22C2 ⊆ Aut C20804C20.39C2^3160,128
C20.40C23 = C22×C52C8φ: C23/C22C2 ⊆ Aut C20160C20.40C2^3160,141
C20.41C23 = C2×C4.Dic5φ: C23/C22C2 ⊆ Aut C2080C20.41C2^3160,142
C20.42C23 = D4.Dic5φ: C23/C22C2 ⊆ Aut C20804C20.42C2^3160,169
C20.43C23 = C2×C4○D20φ: C23/C22C2 ⊆ Aut C2080C20.43C2^3160,216
C20.44C23 = C10×D8φ: C23/C22C2 ⊆ Aut C2080C20.44C2^3160,193
C20.45C23 = C10×SD16φ: C23/C22C2 ⊆ Aut C2080C20.45C2^3160,194
C20.46C23 = C10×Q16φ: C23/C22C2 ⊆ Aut C20160C20.46C2^3160,195
C20.47C23 = C5×C4○D8φ: C23/C22C2 ⊆ Aut C20802C20.47C2^3160,196
C20.48C23 = C5×C8⋊C22φ: C23/C22C2 ⊆ Aut C20404C20.48C2^3160,197
C20.49C23 = C5×C8.C22φ: C23/C22C2 ⊆ Aut C20804C20.49C2^3160,198
C20.50C23 = Q8×C2×C10φ: C23/C22C2 ⊆ Aut C20160C20.50C2^3160,230
C20.51C23 = C5×2+ 1+4φ: C23/C22C2 ⊆ Aut C20404C20.51C2^3160,232
C20.52C23 = C5×2- 1+4φ: C23/C22C2 ⊆ Aut C20804C20.52C2^3160,233
C20.53C23 = C10×M4(2)central extension (φ=1)80C20.53C2^3160,191
C20.54C23 = C5×C8○D4central extension (φ=1)802C20.54C2^3160,192
C20.55C23 = C10×C4○D4central extension (φ=1)80C20.55C2^3160,231

׿
×
𝔽