# Extensions 1→N→G→Q→1 with N=C42 and Q=C22

Direct product G=N×Q with N=C42 and Q=C22
dρLabelID
C22×C4264C2^2xC4^264,192

Semidirect products G=N:Q with N=C42 and Q=C22
extensionφ:Q→Aut NdρLabelID
C421C22 = C42⋊C22φ: C22/C1C22 ⊆ Aut C42164C4^2:1C2^264,102
C422C22 = D44D4φ: C22/C1C22 ⊆ Aut C4284+C4^2:2C2^264,134
C423C22 = D4.9D4φ: C22/C1C22 ⊆ Aut C42164C4^2:3C2^264,136
C424C22 = C22.11C24φ: C22/C1C22 ⊆ Aut C4216C4^2:4C2^264,199
C425C22 = C22.19C24φ: C22/C1C22 ⊆ Aut C4216C4^2:5C2^264,206
C426C22 = C22.29C24φ: C22/C1C22 ⊆ Aut C4216C4^2:6C2^264,216
C427C22 = C22.32C24φ: C22/C1C22 ⊆ Aut C4216C4^2:7C2^264,219
C428C22 = D42φ: C22/C1C22 ⊆ Aut C4216C4^2:8C2^264,226
C429C22 = D45D4φ: C22/C1C22 ⊆ Aut C4216C4^2:9C2^264,227
C4210C22 = C22.45C24φ: C22/C1C22 ⊆ Aut C4216C4^2:10C2^264,232
C4211C22 = C22.54C24φ: C22/C1C22 ⊆ Aut C4216C4^2:11C2^264,241
C4212C22 = C24⋊C22φ: C22/C1C22 ⊆ Aut C4216C4^2:12C2^264,242
C4213C22 = C2×C42⋊C2φ: C22/C2C2 ⊆ Aut C4232C4^2:13C2^264,195
C4214C22 = C2×C422C2φ: C22/C2C2 ⊆ Aut C4232C4^2:14C2^264,209
C4215C22 = C2×C4≀C2φ: C22/C2C2 ⊆ Aut C4216C4^2:15C2^264,101
C4216C22 = C2×C4×D4φ: C22/C2C2 ⊆ Aut C4232C4^2:16C2^264,196
C4217C22 = C2×C4.4D4φ: C22/C2C2 ⊆ Aut C4232C4^2:17C2^264,207
C4218C22 = C2×C41D4φ: C22/C2C2 ⊆ Aut C4232C4^2:18C2^264,211

Non-split extensions G=N.Q with N=C42 and Q=C22
extensionφ:Q→Aut NdρLabelID
C42.1C22 = C42.C22φ: C22/C1C22 ⊆ Aut C4232C4^2.1C2^264,10
C42.2C22 = C42.2C22φ: C22/C1C22 ⊆ Aut C4264C4^2.2C2^264,11
C42.3C22 = C4.D8φ: C22/C1C22 ⊆ Aut C4232C4^2.3C2^264,12
C42.4C22 = C4.10D8φ: C22/C1C22 ⊆ Aut C4264C4^2.4C2^264,13
C42.5C22 = C4.6Q16φ: C22/C1C22 ⊆ Aut C4264C4^2.5C2^264,14
C42.6C22 = C42.6C22φ: C22/C1C22 ⊆ Aut C4232C4^2.6C2^264,105
C42.7C22 = C42.7C22φ: C22/C1C22 ⊆ Aut C4232C4^2.7C2^264,114
C42.8C22 = C89D4φ: C22/C1C22 ⊆ Aut C4232C4^2.8C2^264,116
C42.9C22 = SD16⋊C4φ: C22/C1C22 ⊆ Aut C4232C4^2.9C2^264,121
C42.10C22 = Q16⋊C4φ: C22/C1C22 ⊆ Aut C4264C4^2.10C2^264,122
C42.11C22 = D8⋊C4φ: C22/C1C22 ⊆ Aut C4232C4^2.11C2^264,123
C42.12C22 = C8.26D4φ: C22/C1C22 ⊆ Aut C42164C4^2.12C2^264,125
C42.13C22 = C84Q8φ: C22/C1C22 ⊆ Aut C4264C4^2.13C2^264,127
C42.14C22 = D4.8D4φ: C22/C1C22 ⊆ Aut C42164C4^2.14C2^264,135
C42.15C22 = D4.10D4φ: C22/C1C22 ⊆ Aut C42164-C4^2.15C2^264,137
C42.16C22 = C4⋊D8φ: C22/C1C22 ⊆ Aut C4232C4^2.16C2^264,140
C42.17C22 = C4⋊SD16φ: C22/C1C22 ⊆ Aut C4232C4^2.17C2^264,141
C42.18C22 = D4.D4φ: C22/C1C22 ⊆ Aut C4232C4^2.18C2^264,142
C42.19C22 = C42Q16φ: C22/C1C22 ⊆ Aut C4264C4^2.19C2^264,143
C42.20C22 = D4.2D4φ: C22/C1C22 ⊆ Aut C4232C4^2.20C2^264,144
C42.21C22 = Q8.D4φ: C22/C1C22 ⊆ Aut C4232C4^2.21C2^264,145
C42.22C22 = D4⋊Q8φ: C22/C1C22 ⊆ Aut C4232C4^2.22C2^264,155
C42.23C22 = Q8⋊Q8φ: C22/C1C22 ⊆ Aut C4264C4^2.23C2^264,156
C42.24C22 = D42Q8φ: C22/C1C22 ⊆ Aut C4232C4^2.24C2^264,157
C42.25C22 = C4.Q16φ: C22/C1C22 ⊆ Aut C4264C4^2.25C2^264,158
C42.26C22 = D4.Q8φ: C22/C1C22 ⊆ Aut C4232C4^2.26C2^264,159
C42.27C22 = Q8.Q8φ: C22/C1C22 ⊆ Aut C4264C4^2.27C2^264,160
C42.28C22 = C42.28C22φ: C22/C1C22 ⊆ Aut C4232C4^2.28C2^264,170
C42.29C22 = C42.29C22φ: C22/C1C22 ⊆ Aut C4232C4^2.29C2^264,171
C42.30C22 = C42.30C22φ: C22/C1C22 ⊆ Aut C4264C4^2.30C2^264,172
C42.31C22 = C83D4φ: C22/C1C22 ⊆ Aut C4232C4^2.31C2^264,177
C42.32C22 = C8.2D4φ: C22/C1C22 ⊆ Aut C4232C4^2.32C2^264,178
C42.33C22 = C8⋊Q8φ: C22/C1C22 ⊆ Aut C4264C4^2.33C2^264,182
C42.34C22 = C23.32C23φ: C22/C1C22 ⊆ Aut C4232C4^2.34C2^264,200
C42.35C22 = C23.33C23φ: C22/C1C22 ⊆ Aut C4232C4^2.35C2^264,201
C42.36C22 = C23.37C23φ: C22/C1C22 ⊆ Aut C4232C4^2.36C2^264,214
C42.37C22 = C23.38C23φ: C22/C1C22 ⊆ Aut C4232C4^2.37C2^264,217
C42.38C22 = C22.33C24φ: C22/C1C22 ⊆ Aut C4232C4^2.38C2^264,220
C42.39C22 = C22.34C24φ: C22/C1C22 ⊆ Aut C4232C4^2.39C2^264,221
C42.40C22 = C22.35C24φ: C22/C1C22 ⊆ Aut C4232C4^2.40C2^264,222
C42.41C22 = C22.36C24φ: C22/C1C22 ⊆ Aut C4232C4^2.41C2^264,223
C42.42C22 = C23.41C23φ: C22/C1C22 ⊆ Aut C4232C4^2.42C2^264,225
C42.43C22 = D46D4φ: C22/C1C22 ⊆ Aut C4232C4^2.43C2^264,228
C42.44C22 = Q85D4φ: C22/C1C22 ⊆ Aut C4232C4^2.44C2^264,229
C42.45C22 = D4×Q8φ: C22/C1C22 ⊆ Aut C4232C4^2.45C2^264,230
C42.46C22 = Q86D4φ: C22/C1C22 ⊆ Aut C4232C4^2.46C2^264,231
C42.47C22 = C22.46C24φ: C22/C1C22 ⊆ Aut C4232C4^2.47C2^264,233
C42.48C22 = C22.47C24φ: C22/C1C22 ⊆ Aut C4232C4^2.48C2^264,234
C42.49C22 = D43Q8φ: C22/C1C22 ⊆ Aut C4232C4^2.49C2^264,235
C42.50C22 = C22.49C24φ: C22/C1C22 ⊆ Aut C4232C4^2.50C2^264,236
C42.51C22 = C22.50C24φ: C22/C1C22 ⊆ Aut C4232C4^2.51C2^264,237
C42.52C22 = Q83Q8φ: C22/C1C22 ⊆ Aut C4264C4^2.52C2^264,238
C42.53C22 = Q82φ: C22/C1C22 ⊆ Aut C4264C4^2.53C2^264,239
C42.54C22 = C22.53C24φ: C22/C1C22 ⊆ Aut C4232C4^2.54C2^264,240
C42.55C22 = C22.56C24φ: C22/C1C22 ⊆ Aut C4232C4^2.55C2^264,243
C42.56C22 = C22.57C24φ: C22/C1C22 ⊆ Aut C4232C4^2.56C2^264,244
C42.57C22 = C22.58C24φ: C22/C1C22 ⊆ Aut C4264C4^2.57C2^264,245
C42.58C22 = C2×C8⋊C4φ: C22/C2C2 ⊆ Aut C4264C4^2.58C2^264,84
C42.59C22 = C4×M4(2)φ: C22/C2C2 ⊆ Aut C4232C4^2.59C2^264,85
C42.60C22 = C82M4(2)φ: C22/C2C2 ⊆ Aut C4232C4^2.60C2^264,86
C42.61C22 = C23.36C23φ: C22/C2C2 ⊆ Aut C4232C4^2.61C2^264,210
C42.62C22 = D4⋊C8φ: C22/C2C2 ⊆ Aut C4232C4^2.62C2^264,6
C42.63C22 = Q8⋊C8φ: C22/C2C2 ⊆ Aut C4264C4^2.63C2^264,7
C42.64C22 = C82C8φ: C22/C2C2 ⊆ Aut C4264C4^2.64C2^264,15
C42.65C22 = C81C8φ: C22/C2C2 ⊆ Aut C4264C4^2.65C2^264,16
C42.66C22 = C2×C4⋊C8φ: C22/C2C2 ⊆ Aut C4264C4^2.66C2^264,103
C42.67C22 = C4⋊M4(2)φ: C22/C2C2 ⊆ Aut C4232C4^2.67C2^264,104
C42.68C22 = C42.6C4φ: C22/C2C2 ⊆ Aut C4232C4^2.68C2^264,113
C42.69C22 = C8×D4φ: C22/C2C2 ⊆ Aut C4232C4^2.69C2^264,115
C42.70C22 = C86D4φ: C22/C2C2 ⊆ Aut C4232C4^2.70C2^264,117
C42.71C22 = C4×D8φ: C22/C2C2 ⊆ Aut C4232C4^2.71C2^264,118
C42.72C22 = C4×SD16φ: C22/C2C2 ⊆ Aut C4232C4^2.72C2^264,119
C42.73C22 = C4×Q16φ: C22/C2C2 ⊆ Aut C4264C4^2.73C2^264,120
C42.74C22 = C8○D8φ: C22/C2C2 ⊆ Aut C42162C4^2.74C2^264,124
C42.75C22 = C8×Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.75C2^264,126
C42.76C22 = C4.4D8φ: C22/C2C2 ⊆ Aut C4232C4^2.76C2^264,167
C42.77C22 = C4.SD16φ: C22/C2C2 ⊆ Aut C4264C4^2.77C2^264,168
C42.78C22 = C42.78C22φ: C22/C2C2 ⊆ Aut C4232C4^2.78C2^264,169
C42.79C22 = C85D4φ: C22/C2C2 ⊆ Aut C4232C4^2.79C2^264,173
C42.80C22 = C84D4φ: C22/C2C2 ⊆ Aut C4232C4^2.80C2^264,174
C42.81C22 = C4⋊Q16φ: C22/C2C2 ⊆ Aut C4264C4^2.81C2^264,175
C42.82C22 = C8.12D4φ: C22/C2C2 ⊆ Aut C4232C4^2.82C2^264,176
C42.83C22 = C83Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.83C2^264,179
C42.84C22 = C8.5Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.84C2^264,180
C42.85C22 = C82Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.85C2^264,181
C42.86C22 = C2×C4×Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.86C2^264,197
C42.87C22 = C4×C4○D4φ: C22/C2C2 ⊆ Aut C4232C4^2.87C2^264,198
C42.88C22 = C2×C42.C2φ: C22/C2C2 ⊆ Aut C4264C4^2.88C2^264,208
C42.89C22 = C2×C4⋊Q8φ: C22/C2C2 ⊆ Aut C4264C4^2.89C2^264,212
C42.90C22 = C22.26C24φ: C22/C2C2 ⊆ Aut C4232C4^2.90C2^264,213
C42.91C22 = C8⋊C8central extension (φ=1)64C4^2.91C2^264,3
C42.92C22 = C42.12C4central extension (φ=1)32C4^2.92C2^264,112

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