Extensions 1→N→G→Q→1 with N=C22:C4 and Q=C22

Direct product G=NxQ with N=C22:C4 and Q=C22
dρLabelID
C22xC22:C432C2^2xC2^2:C464,193

Semidirect products G=N:Q with N=C22:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C22:C4:1C22 = C2wrC22φ: C22/C1C22 ⊆ Out C22:C484+C2^2:C4:1C2^264,138
C22:C4:2C22 = C23.7D4φ: C22/C1C22 ⊆ Out C22:C4164C2^2:C4:2C2^264,139
C22:C4:3C22 = C23:3D4φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:3C2^264,215
C22:C4:4C22 = C22.29C24φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:4C2^264,216
C22:C4:5C22 = C22.32C24φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:5C2^264,219
C22:C4:6C22 = D42φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:6C2^264,226
C22:C4:7C22 = D4:5D4φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:7C2^264,227
C22:C4:8C22 = C22.45C24φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:8C2^264,232
C22:C4:9C22 = C22.54C24φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:9C2^264,241
C22:C4:10C22 = C24:C22φ: C22/C1C22 ⊆ Out C22:C416C2^2:C4:10C2^264,242
C22:C4:11C22 = C2xC23:C4φ: C22/C2C2 ⊆ Out C22:C416C2^2:C4:11C2^264,90
C22:C4:12C22 = C2xC22wrC2φ: C22/C2C2 ⊆ Out C22:C416C2^2:C4:12C2^264,202
C22:C4:13C22 = C2xC4:D4φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4:13C2^264,203
C22:C4:14C22 = C2xC22.D4φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4:14C2^264,205
C22:C4:15C22 = C22.19C24φ: C22/C2C2 ⊆ Out C22:C416C2^2:C4:15C2^264,206
C22:C4:16C22 = C2xC4.4D4φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4:16C2^264,207
C22:C4:17C22 = C2xC4xD4φ: trivial image32C2^2:C4:17C2^264,196
C22:C4:18C22 = C22.11C24φ: trivial image16C2^2:C4:18C2^264,199

Non-split extensions G=N.Q with N=C22:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C22:C4.1C22 = C23.38C23φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.1C2^264,217
C22:C4.2C22 = C22.31C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.2C2^264,218
C22:C4.3C22 = C22.34C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.3C2^264,221
C22:C4.4C22 = C22.36C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.4C2^264,223
C22:C4.5C22 = D4:6D4φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.5C2^264,228
C22:C4.6C22 = Q8:5D4φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.6C2^264,229
C22:C4.7C22 = C22.50C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.7C2^264,237
C22:C4.8C22 = C22.56C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.8C2^264,243
C22:C4.9C22 = C22.57C24φ: C22/C1C22 ⊆ Out C22:C432C2^2:C4.9C2^264,244
C22:C4.10C22 = C23.C23φ: C22/C2C2 ⊆ Out C22:C4164C2^2:C4.10C2^264,91
C22:C4.11C22 = C2xC22:Q8φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.11C2^264,204
C22:C4.12C22 = C2xC42:2C2φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.12C2^264,209
C22:C4.13C22 = C23.36C23φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.13C2^264,210
C22:C4.14C22 = C22.26C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.14C2^264,213
C22:C4.15C22 = C23.37C23φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.15C2^264,214
C22:C4.16C22 = C22.33C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.16C2^264,220
C22:C4.17C22 = C22.35C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.17C2^264,222
C22:C4.18C22 = C23:2Q8φ: C22/C2C2 ⊆ Out C22:C416C2^2:C4.18C2^264,224
C22:C4.19C22 = C23.41C23φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.19C2^264,225
C22:C4.20C22 = D4xQ8φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.20C2^264,230
C22:C4.21C22 = Q8:6D4φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.21C2^264,231
C22:C4.22C22 = C22.47C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.22C2^264,234
C22:C4.23C22 = D4:3Q8φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.23C2^264,235
C22:C4.24C22 = C22.49C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.24C2^264,236
C22:C4.25C22 = C22.53C24φ: C22/C2C2 ⊆ Out C22:C432C2^2:C4.25C2^264,240
C22:C4.26C22 = C2xC42:C2φ: trivial image32C2^2:C4.26C2^264,195
C22:C4.27C22 = C4xC4oD4φ: trivial image32C2^2:C4.27C2^264,198
C22:C4.28C22 = C23.32C23φ: trivial image32C2^2:C4.28C2^264,200
C22:C4.29C22 = C23.33C23φ: trivial image32C2^2:C4.29C2^264,201
C22:C4.30C22 = C22.46C24φ: trivial image32C2^2:C4.30C2^264,233

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