# Extensions 1→N→G→Q→1 with N=C22 and Q=C24

Direct product G=N×Q with N=C22 and Q=C24
dρLabelID
C2664C2^664,267

Semidirect products G=N:Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22⋊C24 = D4×C23φ: C24/C23C2 ⊆ Aut C2232C2^2:C2^464,261

Non-split extensions G=N.Q with N=C22 and Q=C24
extensionφ:Q→Aut NdρLabelID
C22.1C24 = C22×C4○D4φ: C24/C23C2 ⊆ Aut C2232C2^2.1C2^464,263
C22.2C24 = C2×2+ 1+4φ: C24/C23C2 ⊆ Aut C2216C2^2.2C2^464,264
C22.3C24 = C2×2- 1+4φ: C24/C23C2 ⊆ Aut C2232C2^2.3C2^464,265
C22.4C24 = C2.C25φ: C24/C23C2 ⊆ Aut C22164C2^2.4C2^464,266
C22.5C24 = C22×C22⋊C4central extension (φ=1)32C2^2.5C2^464,193
C22.6C24 = C22×C4⋊C4central extension (φ=1)64C2^2.6C2^464,194
C22.7C24 = C2×C42⋊C2central extension (φ=1)32C2^2.7C2^464,195
C22.8C24 = C2×C4×D4central extension (φ=1)32C2^2.8C2^464,196
C22.9C24 = C2×C4×Q8central extension (φ=1)64C2^2.9C2^464,197
C22.10C24 = C4×C4○D4central extension (φ=1)32C2^2.10C2^464,198
C22.11C24 = C22.11C24central extension (φ=1)16C2^2.11C2^464,199
C22.12C24 = C23.32C23central extension (φ=1)32C2^2.12C2^464,200
C22.13C24 = C23.33C23central extension (φ=1)32C2^2.13C2^464,201
C22.14C24 = Q8×C23central extension (φ=1)64C2^2.14C2^464,262
C22.15C24 = C2×C22≀C2central stem extension (φ=1)16C2^2.15C2^464,202
C22.16C24 = C2×C4⋊D4central stem extension (φ=1)32C2^2.16C2^464,203
C22.17C24 = C2×C22⋊Q8central stem extension (φ=1)32C2^2.17C2^464,204
C22.18C24 = C2×C22.D4central stem extension (φ=1)32C2^2.18C2^464,205
C22.19C24 = C22.19C24central stem extension (φ=1)16C2^2.19C2^464,206
C22.20C24 = C2×C4.4D4central stem extension (φ=1)32C2^2.20C2^464,207
C22.21C24 = C2×C42.C2central stem extension (φ=1)64C2^2.21C2^464,208
C22.22C24 = C2×C422C2central stem extension (φ=1)32C2^2.22C2^464,209
C22.23C24 = C23.36C23central stem extension (φ=1)32C2^2.23C2^464,210
C22.24C24 = C2×C41D4central stem extension (φ=1)32C2^2.24C2^464,211
C22.25C24 = C2×C4⋊Q8central stem extension (φ=1)64C2^2.25C2^464,212
C22.26C24 = C22.26C24central stem extension (φ=1)32C2^2.26C2^464,213
C22.27C24 = C23.37C23central stem extension (φ=1)32C2^2.27C2^464,214
C22.28C24 = C233D4central stem extension (φ=1)16C2^2.28C2^464,215
C22.29C24 = C22.29C24central stem extension (φ=1)16C2^2.29C2^464,216
C22.30C24 = C23.38C23central stem extension (φ=1)32C2^2.30C2^464,217
C22.31C24 = C22.31C24central stem extension (φ=1)32C2^2.31C2^464,218
C22.32C24 = C22.32C24central stem extension (φ=1)16C2^2.32C2^464,219
C22.33C24 = C22.33C24central stem extension (φ=1)32C2^2.33C2^464,220
C22.34C24 = C22.34C24central stem extension (φ=1)32C2^2.34C2^464,221
C22.35C24 = C22.35C24central stem extension (φ=1)32C2^2.35C2^464,222
C22.36C24 = C22.36C24central stem extension (φ=1)32C2^2.36C2^464,223
C22.37C24 = C232Q8central stem extension (φ=1)16C2^2.37C2^464,224
C22.38C24 = C23.41C23central stem extension (φ=1)32C2^2.38C2^464,225
C22.39C24 = D42central stem extension (φ=1)16C2^2.39C2^464,226
C22.40C24 = D45D4central stem extension (φ=1)16C2^2.40C2^464,227
C22.41C24 = D46D4central stem extension (φ=1)32C2^2.41C2^464,228
C22.42C24 = Q85D4central stem extension (φ=1)32C2^2.42C2^464,229
C22.43C24 = D4×Q8central stem extension (φ=1)32C2^2.43C2^464,230
C22.44C24 = Q86D4central stem extension (φ=1)32C2^2.44C2^464,231
C22.45C24 = C22.45C24central stem extension (φ=1)16C2^2.45C2^464,232
C22.46C24 = C22.46C24central stem extension (φ=1)32C2^2.46C2^464,233
C22.47C24 = C22.47C24central stem extension (φ=1)32C2^2.47C2^464,234
C22.48C24 = D43Q8central stem extension (φ=1)32C2^2.48C2^464,235
C22.49C24 = C22.49C24central stem extension (φ=1)32C2^2.49C2^464,236
C22.50C24 = C22.50C24central stem extension (φ=1)32C2^2.50C2^464,237
C22.51C24 = Q83Q8central stem extension (φ=1)64C2^2.51C2^464,238
C22.52C24 = Q82central stem extension (φ=1)64C2^2.52C2^464,239
C22.53C24 = C22.53C24central stem extension (φ=1)32C2^2.53C2^464,240
C22.54C24 = C22.54C24central stem extension (φ=1)16C2^2.54C2^464,241
C22.55C24 = C24⋊C22central stem extension (φ=1)16C2^2.55C2^464,242
C22.56C24 = C22.56C24central stem extension (φ=1)32C2^2.56C2^464,243
C22.57C24 = C22.57C24central stem extension (φ=1)32C2^2.57C2^464,244
C22.58C24 = C22.58C24central stem extension (φ=1)64C2^2.58C2^464,245

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