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Extensions 1→N→G→Q→1 with N=C3×Dic10 and Q=C22

Direct product G=N×Q with N=C3×Dic10 and Q=C22
dρLabelID
C2×C6×Dic10480C2xC6xDic10480,1135

Semidirect products G=N:Q with N=C3×Dic10 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic10)⋊1C22 = Dic10⋊3D6φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):1C2^2480,554
(C3×Dic10)⋊2C22 = S3×D4.D5φ: C22/C1 → C22 ⊆ Out C3×Dic101208-(C3xDic10):2C2^2480,561
(C3×Dic10)⋊3C22 = Dic10⋊D6φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):3C2^2480,563
(C3×Dic10)⋊4C22 = D12.9D10φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):4C2^2480,572
(C3×Dic10)⋊5C22 = D12⋊5D10φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):5C2^2480,576
(C3×Dic10)⋊6C22 = D5×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):6C2^2480,577
(C3×Dic10)⋊7C22 = S3×D4⋊2D5φ: C22/C1 → C22 ⊆ Out C3×Dic101208-(C3xDic10):7C2^2480,1099
(C3×Dic10)⋊8C22 = D30.C23φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):8C2^2480,1100
(C3×Dic10)⋊9C22 = D12⋊14D10φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):9C2^2480,1103
(C3×Dic10)⋊10C22 = S3×Q8×D5φ: C22/C1 → C22 ⊆ Out C3×Dic101208-(C3xDic10):10C2^2480,1107
(C3×Dic10)⋊11C22 = D5×Q8⋊3S3φ: C22/C1 → C22 ⊆ Out C3×Dic101208+(C3xDic10):11C2^2480,1108
(C3×Dic10)⋊12C22 = S3×C40⋊C2φ: C22/C1 → C22 ⊆ Out C3×Dic101204(C3xDic10):12C2^2480,327
(C3×Dic10)⋊13C22 = C40⋊1D6φ: C22/C1 → C22 ⊆ Out C3×Dic101204+(C3xDic10):13C2^2480,329
(C3×Dic10)⋊14C22 = C40⋊14D6φ: C22/C1 → C22 ⊆ Out C3×Dic101204(C3xDic10):14C2^2480,331
(C3×Dic10)⋊15C22 = D24⋊6D5φ: C22/C1 → C22 ⊆ Out C3×Dic101204(C3xDic10):15C2^2480,333
(C3×Dic10)⋊16C22 = C3×D8⋊D5φ: C22/C1 → C22 ⊆ Out C3×Dic101204(C3xDic10):16C2^2480,704
(C3×Dic10)⋊17C22 = C3×D5×SD16φ: C22/C1 → C22 ⊆ Out C3×Dic101204(C3xDic10):17C2^2480,706
(C3×Dic10)⋊18C22 = D20⋊19D6φ: C22/C2 → C2 ⊆ Out C3×Dic101204+(C3xDic10):18C2^2480,377
(C3×Dic10)⋊19C22 = C2×C15⋊SD16φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):19C2^2480,390
(C3×Dic10)⋊20C22 = C2×S3×Dic10φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):20C2^2480,1078
(C3×Dic10)⋊21C22 = C2×D60⋊C2φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):21C2^2480,1081
(C3×Dic10)⋊22C22 = S3×C4○D20φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):22C2^2480,1091
(C3×Dic10)⋊23C22 = D20⋊29D6φ: C22/C2 → C2 ⊆ Out C3×Dic101204+(C3xDic10):23C2^2480,1095
(C3×Dic10)⋊24C22 = D20⋊21D6φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):24C2^2480,375
(C3×Dic10)⋊25C22 = C2×C20.D6φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):25C2^2480,384
(C3×Dic10)⋊26C22 = C2×D12⋊D5φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):26C2^2480,1079
(C3×Dic10)⋊27C22 = C2×D15⋊Q8φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):27C2^2480,1082
(C3×Dic10)⋊28C22 = D20⋊24D6φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):28C2^2480,1092
(C3×Dic10)⋊29C22 = D20⋊26D6φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):29C2^2480,1094
(C3×Dic10)⋊30C22 = C6×C40⋊C2φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):30C2^2480,695
(C3×Dic10)⋊31C22 = C3×C8⋊D10φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):31C2^2480,701
(C3×Dic10)⋊32C22 = C3×D4.D10φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):32C2^2480,725
(C3×Dic10)⋊33C22 = C6×D4.D5φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):33C2^2480,726
(C3×Dic10)⋊34C22 = C6×D4⋊2D5φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):34C2^2480,1140
(C3×Dic10)⋊35C22 = C3×D4⋊6D10φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):35C2^2480,1141
(C3×Dic10)⋊36C22 = C6×Q8×D5φ: C22/C2 → C2 ⊆ Out C3×Dic10240(C3xDic10):36C2^2480,1142
(C3×Dic10)⋊37C22 = C3×D5×C4○D4φ: C22/C2 → C2 ⊆ Out C3×Dic101204(C3xDic10):37C2^2480,1145
(C3×Dic10)⋊38C22 = C6×C4○D20φ: trivial image240(C3xDic10):38C2^2480,1138
(C3×Dic10)⋊39C22 = C3×D4⋊8D10φ: trivial image1204(C3xDic10):39C2^2480,1146

Non-split extensions G=N.Q with N=C3×Dic10 and Q=C22
extensionφ:Q→Out NdρLabelID
(C3×Dic10).1C22 = C60.8C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).1C2^2480,560
(C3×Dic10).2C22 = C60.10C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).2C2^2480,562
(C3×Dic10).3C22 = D30.9D4φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).3C2^2480,564
(C3×Dic10).4C22 = D12.24D10φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).4C2^2480,566
(C3×Dic10).5C22 = C60.16C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).5C2^2480,568
(C3×Dic10).6C22 = C60.19C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).6C2^2480,571
(C3×Dic10).7C22 = D30.11D4φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).7C2^2480,575
(C3×Dic10).8C22 = D5×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).8C2^2480,583
(C3×Dic10).9C22 = S3×C5⋊Q16φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).9C2^2480,585
(C3×Dic10).10C22 = Dic10.26D6φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).10C2^2480,586
(C3×Dic10).11C22 = D15⋊Q16φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).11C2^2480,587
(C3×Dic10).12C22 = C60.C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).12C2^2480,588
(C3×Dic10).13C22 = D12.27D10φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).13C2^2480,589
(C3×Dic10).14C22 = C60.39C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).14C2^2480,591
(C3×Dic10).15C22 = Dic10.27D6φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).15C2^2480,595
(C3×Dic10).16C22 = C60.44C23φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).16C2^2480,596
(C3×Dic10).17C22 = D12.D10φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).17C2^2480,599
(C3×Dic10).18C22 = D30.44D4φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).18C2^2480,600
(C3×Dic10).19C22 = C15⋊2- 1+4φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).19C2^2480,1096
(C3×Dic10).20C22 = C30.33C24φ: C22/C1 → C22 ⊆ Out C3×Dic102408+(C3xDic10).20C2^2480,1105
(C3×Dic10).21C22 = D12.29D10φ: C22/C1 → C22 ⊆ Out C3×Dic102408-(C3xDic10).21C2^2480,1106
(C3×Dic10).22C22 = S3×Dic20φ: C22/C1 → C22 ⊆ Out C3×Dic102404-(C3xDic10).22C2^2480,338
(C3×Dic10).23C22 = Dic20⋊S3φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).23C2^2480,339
(C3×Dic10).24C22 = D6.1D20φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).24C2^2480,348
(C3×Dic10).25C22 = C40.2D6φ: C22/C1 → C22 ⊆ Out C3×Dic102404-(C3xDic10).25C2^2480,350
(C3×Dic10).26C22 = D120⋊5C2φ: C22/C1 → C22 ⊆ Out C3×Dic102404+(C3xDic10).26C2^2480,351
(C3×Dic10).27C22 = Dic10.D6φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).27C2^2480,340
(C3×Dic10).28C22 = Dic6.D10φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).28C2^2480,352
(C3×Dic10).29C22 = D30.3D4φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).29C2^2480,354
(C3×Dic10).30C22 = D24⋊5D5φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).30C2^2480,355
(C3×Dic10).31C22 = D30.4D4φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).31C2^2480,356
(C3×Dic10).32C22 = C3×D8⋊3D5φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).32C2^2480,705
(C3×Dic10).33C22 = C3×SD16⋊D5φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).33C2^2480,708
(C3×Dic10).34C22 = C3×SD16⋊3D5φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).34C2^2480,709
(C3×Dic10).35C22 = C3×D5×Q16φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).35C2^2480,710
(C3×Dic10).36C22 = C3×Q16⋊D5φ: C22/C1 → C22 ⊆ Out C3×Dic102404(C3xDic10).36C2^2480,711
(C3×Dic10).37C22 = D20.31D6φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).37C2^2480,387
(C3×Dic10).38C22 = C60.63D4φ: C22/C2 → C2 ⊆ Out C3×Dic102404-(C3xDic10).38C2^2480,389
(C3×Dic10).39C22 = C12.D20φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).39C2^2480,391
(C3×Dic10).40C22 = C2×C3⋊Dic20φ: C22/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10).40C2^2480,395
(C3×Dic10).41C22 = D20.39D6φ: C22/C2 → C2 ⊆ Out C3×Dic102404-(C3xDic10).41C2^2480,1077
(C3×Dic10).42C22 = C30.C24φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).42C2^2480,1080
(C3×Dic10).43C22 = D20.34D6φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).43C2^2480,373
(C3×Dic10).44C22 = D20.37D6φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).44C2^2480,383
(C3×Dic10).45C22 = D12.37D10φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).45C2^2480,385
(C3×Dic10).46C22 = C2×C15⋊Q16φ: C22/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10).46C2^2480,394
(C3×Dic10).47C22 = D20.38D6φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).47C2^2480,1076
(C3×Dic10).48C22 = C3×D40⋊7C2φ: C22/C2 → C2 ⊆ Out C3×Dic102402(C3xDic10).48C2^2480,697
(C3×Dic10).49C22 = C6×Dic20φ: C22/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10).49C2^2480,698
(C3×Dic10).50C22 = C3×C8.D10φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).50C2^2480,702
(C3×Dic10).51C22 = C3×C20.C23φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).51C2^2480,735
(C3×Dic10).52C22 = C6×C5⋊Q16φ: C22/C2 → C2 ⊆ Out C3×Dic10480(C3xDic10).52C2^2480,736
(C3×Dic10).53C22 = C3×D4.8D10φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).53C2^2480,743
(C3×Dic10).54C22 = C3×D4.9D10φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).54C2^2480,744
(C3×Dic10).55C22 = C3×Q8.10D10φ: C22/C2 → C2 ⊆ Out C3×Dic102404(C3xDic10).55C2^2480,1144
(C3×Dic10).56C22 = C3×D4.10D10φ: trivial image2404(C3xDic10).56C2^2480,1147

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