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Extensions 1→N→G→Q→1 with N=C5×Dic6 and Q=C22

Direct product G=N×Q with N=C5×Dic6 and Q=C22
dρLabelID
C2×C10×Dic6480C2xC10xDic6480,1150

Semidirect products G=N:Q with N=C5×Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Dic6)⋊1C22 = D60.C22φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):1C2^2480,556
(C5×Dic6)⋊2C22 = D5×D4.S3φ: C22/C1 → C22 ⊆ Out C5×Dic61208-(C5xDic6):2C2^2480,559
(C5×Dic6)⋊3C22 = Dic10⋊D6φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):3C2^2480,563
(C5×Dic6)⋊4C22 = D20.9D6φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):4C2^2480,567
(C5×Dic6)⋊5C22 = Dic6⋊D10φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):5C2^2480,574
(C5×Dic6)⋊6C22 = S3×Q8⋊D5φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):6C2^2480,579
(C5×Dic6)⋊7C22 = D5×D4⋊2S3φ: C22/C1 → C22 ⊆ Out C5×Dic61208-(C5xDic6):7C2^2480,1098
(C5×Dic6)⋊8C22 = D30.C23φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):8C2^2480,1100
(C5×Dic6)⋊9C22 = D20⋊14D6φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):9C2^2480,1102
(C5×Dic6)⋊10C22 = S3×Q8×D5φ: C22/C1 → C22 ⊆ Out C5×Dic61208-(C5xDic6):10C2^2480,1107
(C5×Dic6)⋊11C22 = S3×Q8⋊2D5φ: C22/C1 → C22 ⊆ Out C5×Dic61208+(C5xDic6):11C2^2480,1109
(C5×Dic6)⋊12C22 = D5×C24⋊C2φ: C22/C1 → C22 ⊆ Out C5×Dic61204(C5xDic6):12C2^2480,323
(C5×Dic6)⋊13C22 = C24⋊D10φ: C22/C1 → C22 ⊆ Out C5×Dic61204+(C5xDic6):13C2^2480,325
(C5×Dic6)⋊14C22 = C40⋊14D6φ: C22/C1 → C22 ⊆ Out C5×Dic61204(C5xDic6):14C2^2480,331
(C5×Dic6)⋊15C22 = C40⋊8D6φ: C22/C1 → C22 ⊆ Out C5×Dic61204(C5xDic6):15C2^2480,334
(C5×Dic6)⋊16C22 = C5×D8⋊S3φ: C22/C1 → C22 ⊆ Out C5×Dic61204(C5xDic6):16C2^2480,790
(C5×Dic6)⋊17C22 = C5×S3×SD16φ: C22/C1 → C22 ⊆ Out C5×Dic61204(C5xDic6):17C2^2480,792
(C5×Dic6)⋊18C22 = C60.38D4φ: C22/C2 → C2 ⊆ Out C5×Dic61204+(C5xDic6):18C2^2480,381
(C5×Dic6)⋊19C22 = C2×Dic6⋊D5φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):19C2^2480,393
(C5×Dic6)⋊20C22 = C2×D5×Dic6φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):20C2^2480,1073
(C5×Dic6)⋊21C22 = C2×C12.28D10φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):21C2^2480,1085
(C5×Dic6)⋊22C22 = D5×C4○D12φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):22C2^2480,1090
(C5×Dic6)⋊23C22 = D20⋊29D6φ: C22/C2 → C2 ⊆ Out C5×Dic61204+(C5xDic6):23C2^2480,1095
(C5×Dic6)⋊24C22 = C60.36D4φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):24C2^2480,374
(C5×Dic6)⋊25C22 = C2×C30.D4φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):25C2^2480,382
(C5×Dic6)⋊26C22 = C2×D20⋊S3φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):26C2^2480,1075
(C5×Dic6)⋊27C22 = C2×D15⋊Q8φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):27C2^2480,1082
(C5×Dic6)⋊28C22 = D20⋊24D6φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):28C2^2480,1092
(C5×Dic6)⋊29C22 = D20⋊25D6φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):29C2^2480,1093
(C5×Dic6)⋊30C22 = C10×C24⋊C2φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):30C2^2480,781
(C5×Dic6)⋊31C22 = C5×C8⋊D6φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):31C2^2480,787
(C5×Dic6)⋊32C22 = C5×D12⋊6C22φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):32C2^2480,811
(C5×Dic6)⋊33C22 = C10×D4.S3φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):33C2^2480,812
(C5×Dic6)⋊34C22 = C10×D4⋊2S3φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):34C2^2480,1155
(C5×Dic6)⋊35C22 = C5×D4⋊6D6φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):35C2^2480,1156
(C5×Dic6)⋊36C22 = S3×Q8×C10φ: C22/C2 → C2 ⊆ Out C5×Dic6240(C5xDic6):36C2^2480,1157
(C5×Dic6)⋊37C22 = C5×S3×C4○D4φ: C22/C2 → C2 ⊆ Out C5×Dic61204(C5xDic6):37C2^2480,1160
(C5×Dic6)⋊38C22 = C10×C4○D12φ: trivial image240(C5xDic6):38C2^2480,1153
(C5×Dic6)⋊39C22 = C5×D4○D12φ: trivial image1204(C5xDic6):39C2^2480,1161

Non-split extensions G=N.Q with N=C5×Dic6 and Q=C22
extensionφ:Q→Out NdρLabelID
(C5×Dic6).1C22 = C60.8C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).1C2^2480,560
(C5×Dic6).2C22 = C60.10C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).2C2^2480,562
(C5×Dic6).3C22 = D30.9D4φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).3C2^2480,564
(C5×Dic6).4C22 = C60.16C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).4C2^2480,568
(C5×Dic6).5C22 = D20.24D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).5C2^2480,569
(C5×Dic6).6C22 = C60.19C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).6C2^2480,571
(C5×Dic6).7C22 = D20.10D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).7C2^2480,573
(C5×Dic6).8C22 = D5×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).8C2^2480,583
(C5×Dic6).9C22 = D20.13D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).9C2^2480,584
(C5×Dic6).10C22 = S3×C5⋊Q16φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).10C2^2480,585
(C5×Dic6).11C22 = D15⋊Q16φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).11C2^2480,587
(C5×Dic6).12C22 = C60.C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).12C2^2480,588
(C5×Dic6).13C22 = C60.39C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).13C2^2480,591
(C5×Dic6).14C22 = D20.D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).14C2^2480,592
(C5×Dic6).15C22 = D20.28D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).15C2^2480,594
(C5×Dic6).16C22 = C60.44C23φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).16C2^2480,596
(C5×Dic6).17C22 = D20.16D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).17C2^2480,597
(C5×Dic6).18C22 = D20.17D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).18C2^2480,598
(C5×Dic6).19C22 = C15⋊2- 1+4φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).19C2^2480,1096
(C5×Dic6).20C22 = D20.29D6φ: C22/C1 → C22 ⊆ Out C5×Dic62408-(C5xDic6).20C2^2480,1104
(C5×Dic6).21C22 = C30.33C24φ: C22/C1 → C22 ⊆ Out C5×Dic62408+(C5xDic6).21C2^2480,1105
(C5×Dic6).22C22 = D5×Dic12φ: C22/C1 → C22 ⊆ Out C5×Dic62404-(C5xDic6).22C2^2480,335
(C5×Dic6).23C22 = Dic60⋊C2φ: C22/C1 → C22 ⊆ Out C5×Dic62404-(C5xDic6).23C2^2480,336
(C5×Dic6).24C22 = C24.2D10φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).24C2^2480,337
(C5×Dic6).25C22 = C40.31D6φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).25C2^2480,345
(C5×Dic6).26C22 = D120⋊C2φ: C22/C1 → C22 ⊆ Out C5×Dic62404+(C5xDic6).26C2^2480,347
(C5×Dic6).27C22 = Dic10.D6φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).27C2^2480,340
(C5×Dic6).28C22 = Dic6.D10φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).28C2^2480,352
(C5×Dic6).29C22 = D40⋊5S3φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).29C2^2480,353
(C5×Dic6).30C22 = D30.3D4φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).30C2^2480,354
(C5×Dic6).31C22 = D30.4D4φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).31C2^2480,356
(C5×Dic6).32C22 = C5×D8⋊3S3φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).32C2^2480,791
(C5×Dic6).33C22 = C5×D4.D6φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).33C2^2480,794
(C5×Dic6).34C22 = C5×Q8.7D6φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).34C2^2480,795
(C5×Dic6).35C22 = C5×S3×Q16φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).35C2^2480,796
(C5×Dic6).36C22 = C5×Q16⋊S3φ: C22/C1 → C22 ⊆ Out C5×Dic62404(C5xDic6).36C2^2480,797
(C5×Dic6).37C22 = C20.60D12φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).37C2^2480,379
(C5×Dic6).38C22 = C2×C5⋊Dic12φ: C22/C2 → C2 ⊆ Out C5×Dic6480(C5xDic6).38C2^2480,396
(C5×Dic6).39C22 = C20.D12φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).39C2^2480,397
(C5×Dic6).40C22 = D12.33D10φ: C22/C2 → C2 ⊆ Out C5×Dic62404-(C5xDic6).40C2^2480,398
(C5×Dic6).41C22 = D20.38D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).41C2^2480,1076
(C5×Dic6).42C22 = D20.39D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404-(C5xDic6).42C2^2480,1077
(C5×Dic6).43C22 = D20.34D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).43C2^2480,373
(C5×Dic6).44C22 = D20.37D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).44C2^2480,383
(C5×Dic6).45C22 = D12.37D10φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).45C2^2480,385
(C5×Dic6).46C22 = C2×C15⋊Q16φ: C22/C2 → C2 ⊆ Out C5×Dic6480(C5xDic6).46C2^2480,394
(C5×Dic6).47C22 = C30.C24φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).47C2^2480,1080
(C5×Dic6).48C22 = C5×C4○D24φ: C22/C2 → C2 ⊆ Out C5×Dic62402(C5xDic6).48C2^2480,783
(C5×Dic6).49C22 = C10×Dic12φ: C22/C2 → C2 ⊆ Out C5×Dic6480(C5xDic6).49C2^2480,784
(C5×Dic6).50C22 = C5×C8.D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).50C2^2480,788
(C5×Dic6).51C22 = C5×Q8.11D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).51C2^2480,821
(C5×Dic6).52C22 = C10×C3⋊Q16φ: C22/C2 → C2 ⊆ Out C5×Dic6480(C5xDic6).52C2^2480,822
(C5×Dic6).53C22 = C5×Q8.13D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).53C2^2480,829
(C5×Dic6).54C22 = C5×Q8.14D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).54C2^2480,830
(C5×Dic6).55C22 = C5×Q8.15D6φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).55C2^2480,1159
(C5×Dic6).56C22 = C5×Q8○D12φ: C22/C2 → C2 ⊆ Out C5×Dic62404(C5xDic6).56C2^2480,1162

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