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Extensions 1→N→G→Q→1 with N=C4:Dic5 and Q=C4

Direct product G=NxQ with N=C4:Dic5 and Q=C4
dρLabelID
C4xC4:Dic5320C4xC4:Dic5320,561

Semidirect products G=N:Q with N=C4:Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
C4:Dic5:1C4 = (C2xD20):C4φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:1C4320,9
C4:Dic5:2C4 = C4:Dic5:C4φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:2C4320,10
C4:Dic5:3C4 = C23.30D20φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:3C4320,25
C4:Dic5:4C4 = C22.2D40φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:4C4320,28
C4:Dic5:5C4 = D10.SD16φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:5C4320,258
C4:Dic5:6C4 = D10.Q16φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:6C4320,264
C4:Dic5:7C4 = C4:C4:5F5φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:7C4320,1049
C4:Dic5:8C4 = D10.18D8φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:8C4320,212
C4:Dic5:9C4 = C20.C42φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:9C4320,213
C4:Dic5:10C4 = C4:C4xF5φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:10C4320,1048
C4:Dic5:11C4 = C20:(C4:C4)φ: C4/C1 → C4 ⊆ Out C4:Dic580C4:Dic5:11C4320,1050
C4:Dic5:12C4 = C42:6Dic5φ: C4/C2 → C2 ⊆ Out C4:Dic580C4:Dic5:12C4320,81
C4:Dic5:13C4 = C20.39C42φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:13C4320,109
C4:Dic5:14C4 = C2.(C4xD20)φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:14C4320,280
C4:Dic5:15C4 = C4:Dic5:15C4φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:15C4320,281
C4:Dic5:16C4 = C20:7(C4:C4)φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:16C4320,555
C4:Dic5:17C4 = C20.31C42φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:17C4320,87
C4:Dic5:18C4 = C20.33C42φ: C4/C2 → C2 ⊆ Out C4:Dic580C4:Dic5:18C4320,113
C4:Dic5:19C4 = C20:4(C4:C4)φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:19C4320,600
C4:Dic5:20C4 = C4:C4xDic5φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5:20C4320,602

Non-split extensions G=N.Q with N=C4:Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
C4:Dic5.1C4 = C42.2D10φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.1C4320,23
C4:Dic5.2C4 = C20.47D8φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.2C4320,40
C4:Dic5.3C4 = C20.2D8φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.3C4320,44
C4:Dic5.4C4 = C10.C4wrC2φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.4C4320,208
C4:Dic5.5C4 = Dic5.D8φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.5C4320,211
C4:Dic5.6C4 = C4:C4.7F5φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.6C4320,1044
C4:Dic5.7C4 = C5:C8:7D4φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.7C4320,1111
C4:Dic5.8C4 = C20.6M4(2)φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.8C4320,1126
C4:Dic5.9C4 = Dic5.23D8φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.9C4320,262
C4:Dic5.10C4 = Dic5.12Q16φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.10C4320,268
C4:Dic5.11C4 = D10.C42φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.11C4320,1039
C4:Dic5.12C4 = C4:C4.9F5φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.12C4320,1046
C4:Dic5.13C4 = D4xC5:C8φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.13C4320,1110
C4:Dic5.14C4 = C20:2M4(2)φ: C4/C1 → C4 ⊆ Out C4:Dic5160C4:Dic5.14C4320,1112
C4:Dic5.15C4 = Q8xC5:C8φ: C4/C1 → C4 ⊆ Out C4:Dic5320C4:Dic5.15C4320,1124
C4:Dic5.16C4 = Dic10:3C8φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.16C4320,14
C4:Dic5.17C4 = D20:3C8φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.17C4320,17
C4:Dic5.18C4 = C40:11Q8φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.18C4320,306
C4:Dic5.19C4 = C8:6D20φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.19C4320,315
C4:Dic5.20C4 = C40:Q8φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.20C4320,328
C4:Dic5.21C4 = C8:9D20φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.21C4320,333
C4:Dic5.22C4 = C40:8C4:C2φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.22C4320,347
C4:Dic5.23C4 = Dic5.5M4(2)φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.23C4320,455
C4:Dic5.24C4 = D10:5M4(2)φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.24C4320,463
C4:Dic5.25C4 = C20.65(C4:C4)φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.25C4320,729
C4:Dic5.26C4 = D20:4C8φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.26C4320,41
C4:Dic5.27C4 = Dic10:4C8φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.27C4320,42
C4:Dic5.28C4 = Dic10:5C8φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.28C4320,457
C4:Dic5.29C4 = C42.198D10φ: C4/C2 → C2 ⊆ Out C4:Dic5320C4:Dic5.29C4320,458
C4:Dic5.30C4 = D20:5C8φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.30C4320,461
C4:Dic5.31C4 = C20:6M4(2)φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.31C4320,465
C4:Dic5.32C4 = C20.51(C4:C4)φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.32C4320,746
C4:Dic5.33C4 = C20.37C42φ: C4/C2 → C2 ⊆ Out C4:Dic5160C4:Dic5.33C4320,749
C4:Dic5.34C4 = C8xDic10φ: trivial image320C4:Dic5.34C4320,305
C4:Dic5.35C4 = C8xD20φ: trivial image160C4:Dic5.35C4320,313
C4:Dic5.36C4 = C20.42C42φ: trivial image160C4:Dic5.36C4320,728

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