Extensions 1→N→G→Q→1 with N=C56:C2 and Q=C22

Direct product G=NxQ with N=C56:C2 and Q=C22
dρLabelID
C22xC56:C2224C2^2xC56:C2448,1192

Semidirect products G=N:Q with N=C56:C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C56:C2:1C22 = D7xC8:C22φ: C22/C1C22 ⊆ Out C56:C2568+C56:C2:1C2^2448,1225
C56:C2:2C22 = SD16:D14φ: C22/C1C22 ⊆ Out C56:C21128-C56:C2:2C2^2448,1226
C56:C2:3C22 = D8:5D14φ: C22/C1C22 ⊆ Out C56:C21128+C56:C2:3C2^2448,1227
C56:C2:4C22 = D8:6D14φ: C22/C1C22 ⊆ Out C56:C21128-C56:C2:4C2^2448,1228
C56:C2:5C22 = D7xC8.C22φ: C22/C1C22 ⊆ Out C56:C21128-C56:C2:5C2^2448,1229
C56:C2:6C22 = D56:C22φ: C22/C1C22 ⊆ Out C56:C21128+C56:C2:6C2^2448,1230
C56:C2:7C22 = C56.C23φ: C22/C1C22 ⊆ Out C56:C21128+C56:C2:7C2^2448,1231
C56:C2:8C22 = C2xC8:D14φ: C22/C2C2 ⊆ Out C56:C2112C56:C2:8C2^2448,1199
C56:C2:9C22 = C2xC8.D14φ: C22/C2C2 ⊆ Out C56:C2224C56:C2:9C2^2448,1200
C56:C2:10C22 = C56.9C23φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:10C2^2448,1201
C56:C2:11C22 = D4.11D28φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:11C2^2448,1204
C56:C2:12C22 = D4.12D28φ: C22/C2C2 ⊆ Out C56:C21124+C56:C2:12C2^2448,1205
C56:C2:13C22 = C2xD8:D7φ: C22/C2C2 ⊆ Out C56:C2112C56:C2:13C2^2448,1208
C56:C2:14C22 = D8:13D14φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:14C2^2448,1210
C56:C2:15C22 = C2xQ16:D7φ: C22/C2C2 ⊆ Out C56:C2224C56:C2:15C2^2448,1217
C56:C2:16C22 = D8:10D14φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:16C2^2448,1221
C56:C2:17C22 = C2xD7xSD16φ: C22/C2C2 ⊆ Out C56:C2112C56:C2:17C2^2448,1211
C56:C2:18C22 = C2xSD16:3D7φ: C22/C2C2 ⊆ Out C56:C2224C56:C2:18C2^2448,1214
C56:C2:19C22 = D28.29D4φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:19C2^2448,1215
C56:C2:20C22 = D7xC4oD8φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:20C2^2448,1220
C56:C2:21C22 = D8:11D14φ: C22/C2C2 ⊆ Out C56:C21124C56:C2:21C2^2448,1223
C56:C2:22C22 = C2xD56:7C2φ: trivial image224C56:C2:22C2^2448,1194

Non-split extensions G=N.Q with N=C56:C2 and Q=C22
extensionφ:Q→Out NdρLabelID
C56:C2.C22 = D28.44D4φ: C22/C1C22 ⊆ Out C56:C22248-C56:C2.C2^2448,1232
C56:C2.2C22 = D4.13D28φ: C22/C2C2 ⊆ Out C56:C22244-C56:C2.2C2^2448,1206
C56:C2.3C22 = D28.30D4φ: C22/C2C2 ⊆ Out C56:C22244C56:C2.3C2^2448,1219

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