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

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

Semidirect products G=N:Q with N=C4⋊Dic5 and Q=C4
extensionφ:Q→Out NdρLabelID
C4⋊Dic5⋊1C4 = (C2×D20)⋊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⋊C4×F5φ: 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.(C4×D20)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⋊C4×Dic5φ: 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.C4≀C2φ: 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 = D4×C5⋊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 = Q8×C5⋊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 = C8×Dic10φ: trivial image320C4:Dic5.34C4320,305
C4⋊Dic5.35C4 = C8×D20φ: trivial image160C4:Dic5.35C4320,313
C4⋊Dic5.36C4 = C20.42C42φ: trivial image160C4:Dic5.36C4320,728

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