# Extensions 1→N→G→Q→1 with N=C2×C30 and Q=C23

Direct product G=N×Q with N=C2×C30 and Q=C23
dρLabelID
C24×C30480C2^4xC30480,1213

Semidirect products G=N:Q with N=C2×C30 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C30)⋊C23 = S3×D4×D5φ: C23/C1C23 ⊆ Aut C2×C30608+(C2xC30):C2^3480,1097
(C2×C30)⋊2C23 = C2×D4×D15φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):2C2^3480,1169
(C2×C30)⋊3C23 = C2×D5×C3⋊D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):3C2^3480,1122
(C2×C30)⋊4C23 = C2×S3×C5⋊D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):4C2^3480,1123
(C2×C30)⋊5C23 = C2×D10⋊D6φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):5C2^3480,1124
(C2×C30)⋊6C23 = S3×C23×D5φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):6C2^3480,1207
(C2×C30)⋊7C23 = C6×D4×D5φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):7C2^3480,1139
(C2×C30)⋊8C23 = S3×D4×C10φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30):8C2^3480,1154
(C2×C30)⋊9C23 = D4×C2×C30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):9C2^3480,1181
(C2×C30)⋊10C23 = C22×C157D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):10C2^3480,1179
(C2×C30)⋊11C23 = C24×D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):11C2^3480,1212
(C2×C30)⋊12C23 = C2×C6×C5⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):12C2^3480,1149
(C2×C30)⋊13C23 = D5×C23×C6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):13C2^3480,1210
(C2×C30)⋊14C23 = C2×C10×C3⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):14C2^3480,1164
(C2×C30)⋊15C23 = S3×C23×C10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30):15C2^3480,1211

Non-split extensions G=N.Q with N=C2×C30 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C30).1C23 = C15⋊2- 1+4φ: C23/C1C23 ⊆ Aut C2×C302408-(C2xC30).1C2^3480,1096
(C2×C30).2C23 = D5×D42S3φ: C23/C1C23 ⊆ Aut C2×C301208-(C2xC30).2C2^3480,1098
(C2×C30).3C23 = S3×D42D5φ: C23/C1C23 ⊆ Aut C2×C301208-(C2xC30).3C2^3480,1099
(C2×C30).4C23 = D30.C23φ: C23/C1C23 ⊆ Aut C2×C301208+(C2xC30).4C2^3480,1100
(C2×C30).5C23 = D2013D6φ: C23/C1C23 ⊆ Aut C2×C301208-(C2xC30).5C2^3480,1101
(C2×C30).6C23 = D2014D6φ: C23/C1C23 ⊆ Aut C2×C301208+(C2xC30).6C2^3480,1102
(C2×C30).7C23 = D1214D10φ: C23/C1C23 ⊆ Aut C2×C301208+(C2xC30).7C2^3480,1103
(C2×C30).8C23 = C2×D42D15φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).8C2^3480,1170
(C2×C30).9C23 = D46D30φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).9C2^3480,1171
(C2×C30).10C23 = C4○D4×D15φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).10C2^3480,1175
(C2×C30).11C23 = D48D30φ: C23/C2C22 ⊆ Aut C2×C301204+(C2xC30).11C2^3480,1176
(C2×C30).12C23 = D4.10D30φ: C23/C2C22 ⊆ Aut C2×C302404-(C2xC30).12C2^3480,1177
(C2×C30).13C23 = Dic55Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).13C2^3480,399
(C2×C30).14C23 = Dic35Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).14C2^3480,400
(C2×C30).15C23 = Dic155Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).15C2^3480,401
(C2×C30).16C23 = (C2×C20).D6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).16C2^3480,402
(C2×C30).17C23 = Dic151Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).17C2^3480,403
(C2×C30).18C23 = Dic3⋊Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).18C2^3480,404
(C2×C30).19C23 = Dic15⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).19C2^3480,405
(C2×C30).20C23 = Dic3×Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).20C2^3480,406
(C2×C30).21C23 = Dic156Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).21C2^3480,407
(C2×C30).22C23 = Dic5×Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).22C2^3480,408
(C2×C30).23C23 = Dic3017C4φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).23C2^3480,409
(C2×C30).24C23 = Dic5.1Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).24C2^3480,410
(C2×C30).25C23 = Dic5.2Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).25C2^3480,411
(C2×C30).26C23 = Dic15.Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).26C2^3480,412
(C2×C30).27C23 = C4⋊Dic3⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).27C2^3480,413
(C2×C30).28C23 = (S3×C20)⋊5C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).28C2^3480,414
(C2×C30).29C23 = Dic15.2Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).29C2^3480,415
(C2×C30).30C23 = Dic3014C4φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).30C2^3480,416
(C2×C30).31C23 = D6⋊C4.D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).31C2^3480,417
(C2×C30).32C23 = C605C4⋊C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).32C2^3480,418
(C2×C30).33C23 = Dic3.Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).33C2^3480,419
(C2×C30).34C23 = Dic157Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).34C2^3480,420
(C2×C30).35C23 = C4⋊Dic5⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).35C2^3480,421
(C2×C30).36C23 = Dic3.2Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).36C2^3480,422
(C2×C30).37C23 = (C4×D15)⋊8C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).37C2^3480,423
(C2×C30).38C23 = Dic3⋊C4⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).38C2^3480,424
(C2×C30).39C23 = D10⋊Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).39C2^3480,425
(C2×C30).40C23 = Dic5.8D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).40C2^3480,426
(C2×C30).41C23 = D6⋊Dic5⋊C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).41C2^3480,427
(C2×C30).42C23 = D6⋊Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).42C2^3480,428
(C2×C30).43C23 = Dic3.D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).43C2^3480,429
(C2×C30).44C23 = D30.34D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).44C2^3480,430
(C2×C30).45C23 = D30.35D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).45C2^3480,431
(C2×C30).46C23 = D30.D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).46C2^3480,432
(C2×C30).47C23 = (D5×C12)⋊C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).47C2^3480,433
(C2×C30).48C23 = (C4×D5)⋊Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).48C2^3480,434
(C2×C30).49C23 = C60.67D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).49C2^3480,435
(C2×C30).50C23 = C60.68D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).50C2^3480,436
(C2×C30).51C23 = (C2×C12).D10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).51C2^3480,437
(C2×C30).52C23 = (C2×C60).C22φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).52C2^3480,438
(C2×C30).53C23 = (C4×Dic3)⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).53C2^3480,439
(C2×C30).54C23 = C60.44D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).54C2^3480,440
(C2×C30).55C23 = C60.45D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).55C2^3480,441
(C2×C30).56C23 = (C4×Dic15)⋊C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).56C2^3480,442
(C2×C30).57C23 = D6⋊Dic5.C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).57C2^3480,443
(C2×C30).58C23 = C60.88D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).58C2^3480,444
(C2×C30).59C23 = C60.46D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).59C2^3480,445
(C2×C30).60C23 = C60.89D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).60C2^3480,446
(C2×C30).61C23 = (S3×C20)⋊7C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).61C2^3480,447
(C2×C30).62C23 = C5⋊(C423S3)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).62C2^3480,448
(C2×C30).63C23 = C60.69D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).63C2^3480,449
(C2×C30).64C23 = C60.47D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).64C2^3480,450
(C2×C30).65C23 = C60.70D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).65C2^3480,451
(C2×C30).66C23 = Dic5⋊Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).66C2^3480,452
(C2×C30).67C23 = D308Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).67C2^3480,453
(C2×C30).68C23 = Dic5.7Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).68C2^3480,454
(C2×C30).69C23 = Dic3.3Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).69C2^3480,455
(C2×C30).70C23 = C10.D4⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).70C2^3480,456
(C2×C30).71C23 = C60.6Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).71C2^3480,457
(C2×C30).72C23 = Dic15.4Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).72C2^3480,458
(C2×C30).73C23 = D309Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).73C2^3480,459
(C2×C30).74C23 = C12.Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).74C2^3480,460
(C2×C30).75C23 = Dic158Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).75C2^3480,461
(C2×C30).76C23 = (C4×D15)⋊10C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).76C2^3480,462
(C2×C30).77C23 = (C4×Dic5)⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).77C2^3480,463
(C2×C30).78C23 = C20.Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).78C2^3480,464
(C2×C30).79C23 = C60.48D4φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).79C2^3480,465
(C2×C30).80C23 = D3010Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).80C2^3480,466
(C2×C30).81C23 = C4×D5×Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).81C2^3480,467
(C2×C30).82C23 = D5×Dic3⋊C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).82C2^3480,468
(C2×C30).83C23 = (D5×Dic3)⋊C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).83C2^3480,469
(C2×C30).84C23 = D10.19(C4×S3)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).84C2^3480,470
(C2×C30).85C23 = Dic34D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).85C2^3480,471
(C2×C30).86C23 = Dic1513D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).86C2^3480,472
(C2×C30).87C23 = C4×S3×Dic5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).87C2^3480,473
(C2×C30).88C23 = D6.(C4×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).88C2^3480,474
(C2×C30).89C23 = S3×C10.D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).89C2^3480,475
(C2×C30).90C23 = (S3×Dic5)⋊C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).90C2^3480,476
(C2×C30).91C23 = C4×D30.C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).91C2^3480,477
(C2×C30).92C23 = D30.C2⋊C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).92C2^3480,478
(C2×C30).93C23 = D30.23(C2×C4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).93C2^3480,479
(C2×C30).94C23 = D30.Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).94C2^3480,480
(C2×C30).95C23 = Dic54D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).95C2^3480,481
(C2×C30).96C23 = Dic1514D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).96C2^3480,482
(C2×C30).97C23 = (C6×D5).D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).97C2^3480,483
(C2×C30).98C23 = Dic15⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).98C2^3480,484
(C2×C30).99C23 = Dic3⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).99C2^3480,485
(C2×C30).100C23 = D61Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).100C2^3480,486
(C2×C30).101C23 = D30⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).101C2^3480,487
(C2×C30).102C23 = D5×C4⋊Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).102C2^3480,488
(C2×C30).103C23 = D10.16D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).103C2^3480,489
(C2×C30).104C23 = D10.17D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).104C2^3480,490
(C2×C30).105C23 = Dic5×D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).105C2^3480,491
(C2×C30).106C23 = Dic5⋊D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).106C2^3480,492
(C2×C30).107C23 = D62Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).107C2^3480,493
(C2×C30).108C23 = D6017C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).108C2^3480,494
(C2×C30).109C23 = D302Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).109C2^3480,495
(C2×C30).110C23 = D30⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).110C2^3480,496
(C2×C30).111C23 = D101Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).111C2^3480,497
(C2×C30).112C23 = D102Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).112C2^3480,498
(C2×C30).113C23 = (C2×D12).D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).113C2^3480,499
(C2×C30).114C23 = D303Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).114C2^3480,500
(C2×C30).115C23 = Dic3×D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).115C2^3480,501
(C2×C30).116C23 = S3×C4⋊Dic5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).116C2^3480,502
(C2×C30).117C23 = D6.D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).117C2^3480,503
(C2×C30).118C23 = D6014C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).118C2^3480,504
(C2×C30).119C23 = D304Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).119C2^3480,505
(C2×C30).120C23 = Dic15.D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).120C2^3480,506
(C2×C30).121C23 = D104Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).121C2^3480,507
(C2×C30).122C23 = D63Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).122C2^3480,508
(C2×C30).123C23 = D30.6D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).123C2^3480,509
(C2×C30).124C23 = D208Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).124C2^3480,510
(C2×C30).125C23 = Dic158D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).125C2^3480,511
(C2×C30).126C23 = D64Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).126C2^3480,512
(C2×C30).127C23 = D30.2Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).127C2^3480,513
(C2×C30).128C23 = D30.7D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).128C2^3480,514
(C2×C30).129C23 = C4×C15⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).129C2^3480,515
(C2×C30).130C23 = D6⋊(C4×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).130C2^3480,516
(C2×C30).131C23 = C1517(C4×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).131C2^3480,517
(C2×C30).132C23 = Dic159D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).132C2^3480,518
(C2×C30).133C23 = C4×C3⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).133C2^3480,519
(C2×C30).134C23 = C1520(C4×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).134C2^3480,520
(C2×C30).135C23 = C4×C5⋊D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).135C2^3480,521
(C2×C30).136C23 = C1522(C4×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).136C2^3480,522
(C2×C30).137C23 = D6⋊C4⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).137C2^3480,523
(C2×C30).138C23 = D10⋊D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).138C2^3480,524
(C2×C30).139C23 = C60⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).139C2^3480,525
(C2×C30).140C23 = C127D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).140C2^3480,526
(C2×C30).141C23 = C20⋊D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).141C2^3480,527
(C2×C30).142C23 = D10⋊C4⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).142C2^3480,528
(C2×C30).143C23 = Dic152D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).143C2^3480,529
(C2×C30).144C23 = D6⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).144C2^3480,530
(C2×C30).145C23 = (C2×Dic6)⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).145C2^3480,531
(C2×C30).146C23 = C604D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).146C2^3480,532
(C2×C30).147C23 = D6.9D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).147C2^3480,533
(C2×C30).148C23 = C12⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).148C2^3480,534
(C2×C30).149C23 = D302D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).149C2^3480,535
(C2×C30).150C23 = C606D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).150C2^3480,536
(C2×C30).151C23 = D3012D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).151C2^3480,537
(C2×C30).152C23 = Dic15.10D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).152C2^3480,538
(C2×C30).153C23 = C6010D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).153C2^3480,539
(C2×C30).154C23 = Dic15.31D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).154C2^3480,540
(C2×C30).155C23 = C122D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).155C2^3480,541
(C2×C30).156C23 = C202D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).156C2^3480,542
(C2×C30).157C23 = C4×C15⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).157C2^3480,543
(C2×C30).158C23 = C60⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).158C2^3480,544
(C2×C30).159C23 = C204Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).159C2^3480,545
(C2×C30).160C23 = C20⋊Dic6φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).160C2^3480,546
(C2×C30).161C23 = D5×D6⋊C4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).161C2^3480,547
(C2×C30).162C23 = S3×D10⋊C4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).162C2^3480,548
(C2×C30).163C23 = D30.27D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).163C2^3480,549
(C2×C30).164C23 = D64D20φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).164C2^3480,550
(C2×C30).165C23 = D304D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).165C2^3480,551
(C2×C30).166C23 = D305D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).166C2^3480,552
(C2×C30).167C23 = C23.D5⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).167C2^3480,601
(C2×C30).168C23 = Dic15.19D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).168C2^3480,602
(C2×C30).169C23 = C2×Dic3×Dic5φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).169C2^3480,603
(C2×C30).170C23 = (C6×Dic5)⋊7C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).170C2^3480,604
(C2×C30).171C23 = C23.26(S3×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).171C2^3480,605
(C2×C30).172C23 = C23.13(S3×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).172C2^3480,606
(C2×C30).173C23 = C23.14(S3×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).173C2^3480,607
(C2×C30).174C23 = C23.48(S3×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).174C2^3480,608
(C2×C30).175C23 = D306D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).175C2^3480,609
(C2×C30).176C23 = C6.(D4×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).176C2^3480,610
(C2×C30).177C23 = C2×D10⋊Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).177C2^3480,611
(C2×C30).178C23 = (C2×C30).D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).178C2^3480,612
(C2×C30).179C23 = C6.(C2×D20)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).179C2^3480,613
(C2×C30).180C23 = C2×D6⋊Dic5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).180C2^3480,614
(C2×C30).181C23 = C30.(C2×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).181C2^3480,615
(C2×C30).182C23 = C2×D304C4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).182C2^3480,616
(C2×C30).183C23 = C2×C30.Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).183C2^3480,617
(C2×C30).184C23 = C10.(C2×D12)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).184C2^3480,618
(C2×C30).185C23 = (C2×C10).D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).185C2^3480,619
(C2×C30).186C23 = C2×Dic155C4φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).186C2^3480,620
(C2×C30).187C23 = C2×C6.Dic10φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).187C2^3480,621
(C2×C30).188C23 = C6.D4⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).188C2^3480,622
(C2×C30).189C23 = D5×C6.D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).189C2^3480,623
(C2×C30).190C23 = C23.17(S3×D5)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).190C2^3480,624
(C2×C30).191C23 = (C6×D5)⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).191C2^3480,625
(C2×C30).192C23 = Dic153D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).192C2^3480,626
(C2×C30).193C23 = Dic5×C3⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).193C2^3480,627
(C2×C30).194C23 = C1526(C4×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).194C2^3480,628
(C2×C30).195C23 = Dic3×C5⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).195C2^3480,629
(C2×C30).196C23 = S3×C23.D5φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).196C2^3480,630
(C2×C30).197C23 = (S3×C10).D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).197C2^3480,631
(C2×C30).198C23 = C1528(C4×D4)φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).198C2^3480,632
(C2×C30).199C23 = D307D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).199C2^3480,633
(C2×C30).200C23 = Dic154D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).200C2^3480,634
(C2×C30).201C23 = Dic1516D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).201C2^3480,635
(C2×C30).202C23 = Dic1517D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).202C2^3480,636
(C2×C30).203C23 = D30.45D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).203C2^3480,637
(C2×C30).204C23 = D30.16D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).204C2^3480,638
(C2×C30).205C23 = (C2×C30)⋊D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).205C2^3480,639
(C2×C30).206C23 = (C2×C6)⋊8D20φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).206C2^3480,640
(C2×C30).207C23 = (S3×C10)⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).207C2^3480,641
(C2×C30).208C23 = (C2×C10)⋊4D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).208C2^3480,642
(C2×C30).209C23 = Dic155D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).209C2^3480,643
(C2×C30).210C23 = C15⋊C22≀C2φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).210C2^3480,644
(C2×C30).211C23 = (C2×C6)⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).211C2^3480,645
(C2×C30).212C23 = (C2×C10)⋊11D12φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).212C2^3480,646
(C2×C30).213C23 = Dic1518D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).213C2^3480,647
(C2×C30).214C23 = D3018D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).214C2^3480,648
(C2×C30).215C23 = D3019D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).215C2^3480,649
(C2×C30).216C23 = (C2×C30)⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).216C2^3480,650
(C2×C30).217C23 = (C2×C10)⋊8Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).217C2^3480,651
(C2×C30).218C23 = Dic15.48D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).218C2^3480,652
(C2×C30).219C23 = D308D4φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).219C2^3480,653
(C2×C30).220C23 = C2×D5×Dic6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).220C2^3480,1073
(C2×C30).221C23 = C2×D205S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).221C2^3480,1074
(C2×C30).222C23 = C2×D20⋊S3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).222C2^3480,1075
(C2×C30).223C23 = D20.38D6φ: C23/C2C22 ⊆ Aut C2×C302404(C2xC30).223C2^3480,1076
(C2×C30).224C23 = D20.39D6φ: C23/C2C22 ⊆ Aut C2×C302404-(C2xC30).224C2^3480,1077
(C2×C30).225C23 = C2×S3×Dic10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).225C2^3480,1078
(C2×C30).226C23 = C2×D12⋊D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).226C2^3480,1079
(C2×C30).227C23 = C30.C24φ: C23/C2C22 ⊆ Aut C2×C302404(C2xC30).227C2^3480,1080
(C2×C30).228C23 = C2×D60⋊C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).228C2^3480,1081
(C2×C30).229C23 = C2×D15⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).229C2^3480,1082
(C2×C30).230C23 = C2×D6.D10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).230C2^3480,1083
(C2×C30).231C23 = C2×D125D5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).231C2^3480,1084
(C2×C30).232C23 = C2×C12.28D10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).232C2^3480,1085
(C2×C30).233C23 = S3×C2×C4×D5φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).233C2^3480,1086
(C2×C30).234C23 = C2×D5×D12φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).234C2^3480,1087
(C2×C30).235C23 = C2×S3×D20φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).235C2^3480,1088
(C2×C30).236C23 = C2×C20⋊D6φ: C23/C2C22 ⊆ Aut C2×C30120(C2xC30).236C2^3480,1089
(C2×C30).237C23 = D5×C4○D12φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).237C2^3480,1090
(C2×C30).238C23 = S3×C4○D20φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).238C2^3480,1091
(C2×C30).239C23 = D2024D6φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).239C2^3480,1092
(C2×C30).240C23 = D2025D6φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).240C2^3480,1093
(C2×C30).241C23 = D2026D6φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).241C2^3480,1094
(C2×C30).242C23 = D2029D6φ: C23/C2C22 ⊆ Aut C2×C301204+(C2xC30).242C2^3480,1095
(C2×C30).243C23 = C22×D5×Dic3φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).243C2^3480,1112
(C2×C30).244C23 = C2×Dic5.D6φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).244C2^3480,1113
(C2×C30).245C23 = C2×C30.C23φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).245C2^3480,1114
(C2×C30).246C23 = C22×S3×Dic5φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).246C2^3480,1115
(C2×C30).247C23 = C2×Dic3.D10φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).247C2^3480,1116
(C2×C30).248C23 = C22×D30.C2φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).248C2^3480,1117
(C2×C30).249C23 = C22×C15⋊D4φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).249C2^3480,1118
(C2×C30).250C23 = C22×C3⋊D20φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).250C2^3480,1119
(C2×C30).251C23 = C22×C5⋊D12φ: C23/C2C22 ⊆ Aut C2×C30240(C2xC30).251C2^3480,1120
(C2×C30).252C23 = C22×C15⋊Q8φ: C23/C2C22 ⊆ Aut C2×C30480(C2xC30).252C2^3480,1121
(C2×C30).253C23 = C15⋊2+ 1+4φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).253C2^3480,1125
(C2×C30).254C23 = C3×D46D10φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).254C2^3480,1141
(C2×C30).255C23 = C3×D5×C4○D4φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).255C2^3480,1145
(C2×C30).256C23 = C3×D48D10φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).256C2^3480,1146
(C2×C30).257C23 = C3×D4.10D10φ: C23/C2C22 ⊆ Aut C2×C302404(C2xC30).257C2^3480,1147
(C2×C30).258C23 = C5×D46D6φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).258C2^3480,1156
(C2×C30).259C23 = C5×S3×C4○D4φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).259C2^3480,1160
(C2×C30).260C23 = C5×D4○D12φ: C23/C2C22 ⊆ Aut C2×C301204(C2xC30).260C2^3480,1161
(C2×C30).261C23 = C5×Q8○D12φ: C23/C2C22 ⊆ Aut C2×C302404(C2xC30).261C2^3480,1162
(C2×C30).262C23 = C4○D4×C30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).262C2^3480,1183
(C2×C30).263C23 = C15×2+ 1+4φ: C23/C22C2 ⊆ Aut C2×C301204(C2xC30).263C2^3480,1184
(C2×C30).264C23 = C15×2- 1+4φ: C23/C22C2 ⊆ Aut C2×C302404(C2xC30).264C2^3480,1185
(C2×C30).265C23 = C4×Dic30φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).265C2^3480,833
(C2×C30).266C23 = C608Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).266C2^3480,834
(C2×C30).267C23 = C60.24Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).267C2^3480,835
(C2×C30).268C23 = C42×D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).268C2^3480,836
(C2×C30).269C23 = C422D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).269C2^3480,837
(C2×C30).270C23 = C4×D60φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).270C2^3480,838
(C2×C30).271C23 = C426D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).271C2^3480,839
(C2×C30).272C23 = C427D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).272C2^3480,840
(C2×C30).273C23 = C423D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).273C2^3480,841
(C2×C30).274C23 = C23.15D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).274C2^3480,842
(C2×C30).275C23 = C222Dic30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).275C2^3480,843
(C2×C30).276C23 = C23.8D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).276C2^3480,844
(C2×C30).277C23 = C22⋊C4×D15φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).277C2^3480,845
(C2×C30).278C23 = Dic1519D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).278C2^3480,846
(C2×C30).279C23 = D3016D4φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).279C2^3480,847
(C2×C30).280C23 = D30.28D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).280C2^3480,848
(C2×C30).281C23 = D309D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).281C2^3480,849
(C2×C30).282C23 = C23.11D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).282C2^3480,850
(C2×C30).283C23 = C22.D60φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).283C2^3480,851
(C2×C30).284C23 = Dic1510Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).284C2^3480,852
(C2×C30).285C23 = C4⋊Dic30φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).285C2^3480,853
(C2×C30).286C23 = Dic15.3Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).286C2^3480,854
(C2×C30).287C23 = C4.Dic30φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).287C2^3480,855
(C2×C30).288C23 = C4⋊C4×D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).288C2^3480,856
(C2×C30).289C23 = C4⋊C47D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).289C2^3480,857
(C2×C30).290C23 = D6011C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).290C2^3480,858
(C2×C30).291C23 = D30.29D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).291C2^3480,859
(C2×C30).292C23 = C4⋊D60φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).292C2^3480,860
(C2×C30).293C23 = D305Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).293C2^3480,861
(C2×C30).294C23 = D306Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).294C2^3480,862
(C2×C30).295C23 = C4⋊C4⋊D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).295C2^3480,863
(C2×C30).296C23 = C2×C4×Dic15φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).296C2^3480,887
(C2×C30).297C23 = C2×C30.4Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).297C2^3480,888
(C2×C30).298C23 = C60.205D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).298C2^3480,889
(C2×C30).299C23 = C2×C605C4φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).299C2^3480,890
(C2×C30).300C23 = C23.26D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).300C2^3480,891
(C2×C30).301C23 = C2×D303C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).301C2^3480,892
(C2×C30).302C23 = C4×C157D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).302C2^3480,893
(C2×C30).303C23 = C23.28D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).303C2^3480,894
(C2×C30).304C23 = C6029D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).304C2^3480,895
(C2×C30).305C23 = D4×Dic15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).305C2^3480,899
(C2×C30).306C23 = C23.22D30φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).306C2^3480,900
(C2×C30).307C23 = C60.17D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).307C2^3480,901
(C2×C30).308C23 = D3017D4φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).308C2^3480,902
(C2×C30).309C23 = C602D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).309C2^3480,903
(C2×C30).310C23 = Dic1512D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).310C2^3480,904
(C2×C30).311C23 = C603D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).311C2^3480,905
(C2×C30).312C23 = Dic154Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).312C2^3480,909
(C2×C30).313C23 = Q8×Dic15φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).313C2^3480,910
(C2×C30).314C23 = D307Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).314C2^3480,911
(C2×C30).315C23 = C60.23D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).315C2^3480,912
(C2×C30).316C23 = C2×C30.38D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).316C2^3480,917
(C2×C30).317C23 = C245D15φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).317C2^3480,918
(C2×C30).318C23 = C22×Dic30φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).318C2^3480,1165
(C2×C30).319C23 = C22×C4×D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).319C2^3480,1166
(C2×C30).320C23 = C22×D60φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).320C2^3480,1167
(C2×C30).321C23 = C2×D6011C2φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).321C2^3480,1168
(C2×C30).322C23 = C2×Q8×D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).322C2^3480,1172
(C2×C30).323C23 = C2×Q83D15φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).323C2^3480,1173
(C2×C30).324C23 = Q8.15D30φ: C23/C22C2 ⊆ Aut C2×C302404(C2xC30).324C2^3480,1174
(C2×C30).325C23 = C23×Dic15φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).325C2^3480,1178
(C2×C30).326C23 = C12×Dic10φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).326C2^3480,661
(C2×C30).327C23 = C3×C202Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).327C2^3480,662
(C2×C30).328C23 = C3×C20.6Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).328C2^3480,663
(C2×C30).329C23 = D5×C4×C12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).329C2^3480,664
(C2×C30).330C23 = C3×C42⋊D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).330C2^3480,665
(C2×C30).331C23 = C12×D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).331C2^3480,666
(C2×C30).332C23 = C3×C204D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).332C2^3480,667
(C2×C30).333C23 = C3×C4.D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).333C2^3480,668
(C2×C30).334C23 = C3×C422D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).334C2^3480,669
(C2×C30).335C23 = C3×C23.11D10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).335C2^3480,670
(C2×C30).336C23 = C3×Dic5.14D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).336C2^3480,671
(C2×C30).337C23 = C3×C23.D10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).337C2^3480,672
(C2×C30).338C23 = C3×D5×C22⋊C4φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).338C2^3480,673
(C2×C30).339C23 = C3×Dic54D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).339C2^3480,674
(C2×C30).340C23 = C3×C22⋊D20φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).340C2^3480,675
(C2×C30).341C23 = C3×D10.12D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).341C2^3480,676
(C2×C30).342C23 = C3×D10⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).342C2^3480,677
(C2×C30).343C23 = C3×Dic5.5D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).343C2^3480,678
(C2×C30).344C23 = C3×C22.D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).344C2^3480,679
(C2×C30).345C23 = C3×Dic53Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).345C2^3480,680
(C2×C30).346C23 = C3×C20⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).346C2^3480,681
(C2×C30).347C23 = C3×Dic5.Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).347C2^3480,682
(C2×C30).348C23 = C3×C4.Dic10φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).348C2^3480,683
(C2×C30).349C23 = C3×D5×C4⋊C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).349C2^3480,684
(C2×C30).350C23 = C3×C4⋊C47D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).350C2^3480,685
(C2×C30).351C23 = C3×D208C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).351C2^3480,686
(C2×C30).352C23 = C3×D10.13D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).352C2^3480,687
(C2×C30).353C23 = C3×C4⋊D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).353C2^3480,688
(C2×C30).354C23 = C3×D10⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).354C2^3480,689
(C2×C30).355C23 = C3×D102Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).355C2^3480,690
(C2×C30).356C23 = C3×C4⋊C4⋊D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).356C2^3480,691
(C2×C30).357C23 = Dic5×C2×C12φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).357C2^3480,715
(C2×C30).358C23 = C6×C10.D4φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).358C2^3480,716
(C2×C30).359C23 = C3×C20.48D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).359C2^3480,717
(C2×C30).360C23 = C6×C4⋊Dic5φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).360C2^3480,718
(C2×C30).361C23 = C3×C23.21D10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).361C2^3480,719
(C2×C30).362C23 = C6×D10⋊C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).362C2^3480,720
(C2×C30).363C23 = C12×C5⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).363C2^3480,721
(C2×C30).364C23 = C3×C23.23D10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).364C2^3480,722
(C2×C30).365C23 = C3×C207D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).365C2^3480,723
(C2×C30).366C23 = C3×D4×Dic5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).366C2^3480,727
(C2×C30).367C23 = C3×C23.18D10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).367C2^3480,728
(C2×C30).368C23 = C3×C20.17D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).368C2^3480,729
(C2×C30).369C23 = C3×C23⋊D10φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).369C2^3480,730
(C2×C30).370C23 = C3×C202D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).370C2^3480,731
(C2×C30).371C23 = C3×Dic5⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).371C2^3480,732
(C2×C30).372C23 = C3×C20⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).372C2^3480,733
(C2×C30).373C23 = C3×Dic5⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).373C2^3480,737
(C2×C30).374C23 = C3×Q8×Dic5φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).374C2^3480,738
(C2×C30).375C23 = C3×D103Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).375C2^3480,739
(C2×C30).376C23 = C3×C20.23D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).376C2^3480,740
(C2×C30).377C23 = C6×C23.D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).377C2^3480,745
(C2×C30).378C23 = C3×C242D5φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).378C2^3480,746
(C2×C30).379C23 = C2×C6×Dic10φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).379C2^3480,1135
(C2×C30).380C23 = D5×C22×C12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).380C2^3480,1136
(C2×C30).381C23 = C2×C6×D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).381C2^3480,1137
(C2×C30).382C23 = C6×C4○D20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).382C2^3480,1138
(C2×C30).383C23 = C6×D42D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).383C2^3480,1140
(C2×C30).384C23 = C6×Q8×D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).384C2^3480,1142
(C2×C30).385C23 = C6×Q82D5φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).385C2^3480,1143
(C2×C30).386C23 = C3×Q8.10D10φ: C23/C22C2 ⊆ Aut C2×C302404(C2xC30).386C2^3480,1144
(C2×C30).387C23 = Dic5×C22×C6φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).387C2^3480,1148
(C2×C30).388C23 = C20×Dic6φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).388C2^3480,747
(C2×C30).389C23 = C5×C122Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).389C2^3480,748
(C2×C30).390C23 = C5×C12.6Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).390C2^3480,749
(C2×C30).391C23 = S3×C4×C20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).391C2^3480,750
(C2×C30).392C23 = C5×C422S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).392C2^3480,751
(C2×C30).393C23 = C20×D12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).393C2^3480,752
(C2×C30).394C23 = C5×C4⋊D12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).394C2^3480,753
(C2×C30).395C23 = C5×C427S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).395C2^3480,754
(C2×C30).396C23 = C5×C423S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).396C2^3480,755
(C2×C30).397C23 = C5×C23.16D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).397C2^3480,756
(C2×C30).398C23 = C5×Dic3.D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).398C2^3480,757
(C2×C30).399C23 = C5×C23.8D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).399C2^3480,758
(C2×C30).400C23 = C5×S3×C22⋊C4φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).400C2^3480,759
(C2×C30).401C23 = C5×Dic34D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).401C2^3480,760
(C2×C30).402C23 = C5×D6⋊D4φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).402C2^3480,761
(C2×C30).403C23 = C5×C23.9D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).403C2^3480,762
(C2×C30).404C23 = C5×Dic3⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).404C2^3480,763
(C2×C30).405C23 = C5×C23.11D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).405C2^3480,764
(C2×C30).406C23 = C5×C23.21D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).406C2^3480,765
(C2×C30).407C23 = C5×Dic6⋊C4φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).407C2^3480,766
(C2×C30).408C23 = C5×C12⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).408C2^3480,767
(C2×C30).409C23 = C5×Dic3.Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).409C2^3480,768
(C2×C30).410C23 = C5×C4.Dic6φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).410C2^3480,769
(C2×C30).411C23 = C5×S3×C4⋊C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).411C2^3480,770
(C2×C30).412C23 = C5×C4⋊C47S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).412C2^3480,771
(C2×C30).413C23 = C5×Dic35D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).413C2^3480,772
(C2×C30).414C23 = C5×D6.D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).414C2^3480,773
(C2×C30).415C23 = C5×C12⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).415C2^3480,774
(C2×C30).416C23 = C5×D6⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).416C2^3480,775
(C2×C30).417C23 = C5×C4.D12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).417C2^3480,776
(C2×C30).418C23 = C5×C4⋊C4⋊S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).418C2^3480,777
(C2×C30).419C23 = Dic3×C2×C20φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).419C2^3480,801
(C2×C30).420C23 = C10×Dic3⋊C4φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).420C2^3480,802
(C2×C30).421C23 = C5×C12.48D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).421C2^3480,803
(C2×C30).422C23 = C10×C4⋊Dic3φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).422C2^3480,804
(C2×C30).423C23 = C5×C23.26D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).423C2^3480,805
(C2×C30).424C23 = C10×D6⋊C4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).424C2^3480,806
(C2×C30).425C23 = C20×C3⋊D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).425C2^3480,807
(C2×C30).426C23 = C5×C23.28D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).426C2^3480,808
(C2×C30).427C23 = C5×C127D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).427C2^3480,809
(C2×C30).428C23 = C5×D4×Dic3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).428C2^3480,813
(C2×C30).429C23 = C5×C23.23D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).429C2^3480,814
(C2×C30).430C23 = C5×C23.12D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).430C2^3480,815
(C2×C30).431C23 = C5×C232D6φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).431C2^3480,816
(C2×C30).432C23 = C5×D63D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).432C2^3480,817
(C2×C30).433C23 = C5×C23.14D6φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).433C2^3480,818
(C2×C30).434C23 = C5×C123D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).434C2^3480,819
(C2×C30).435C23 = C5×Dic3⋊Q8φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).435C2^3480,823
(C2×C30).436C23 = C5×Q8×Dic3φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).436C2^3480,824
(C2×C30).437C23 = C5×D63Q8φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).437C2^3480,825
(C2×C30).438C23 = C5×C12.23D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).438C2^3480,826
(C2×C30).439C23 = C10×C6.D4φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).439C2^3480,831
(C2×C30).440C23 = C5×C244S3φ: C23/C22C2 ⊆ Aut C2×C30120(C2xC30).440C2^3480,832
(C2×C30).441C23 = C2×C10×Dic6φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).441C2^3480,1150
(C2×C30).442C23 = S3×C22×C20φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).442C2^3480,1151
(C2×C30).443C23 = C2×C10×D12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).443C2^3480,1152
(C2×C30).444C23 = C10×C4○D12φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).444C2^3480,1153
(C2×C30).445C23 = C10×D42S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).445C2^3480,1155
(C2×C30).446C23 = S3×Q8×C10φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).446C2^3480,1157
(C2×C30).447C23 = C10×Q83S3φ: C23/C22C2 ⊆ Aut C2×C30240(C2xC30).447C2^3480,1158
(C2×C30).448C23 = C5×Q8.15D6φ: C23/C22C2 ⊆ Aut C2×C302404(C2xC30).448C2^3480,1159
(C2×C30).449C23 = Dic3×C22×C10φ: C23/C22C2 ⊆ Aut C2×C30480(C2xC30).449C2^3480,1163
(C2×C30).450C23 = C22⋊C4×C30central extension (φ=1)240(C2xC30).450C2^3480,920
(C2×C30).451C23 = C4⋊C4×C30central extension (φ=1)480(C2xC30).451C2^3480,921
(C2×C30).452C23 = C15×C42⋊C2central extension (φ=1)240(C2xC30).452C2^3480,922
(C2×C30).453C23 = D4×C60central extension (φ=1)240(C2xC30).453C2^3480,923
(C2×C30).454C23 = Q8×C60central extension (φ=1)480(C2xC30).454C2^3480,924
(C2×C30).455C23 = C15×C22≀C2central extension (φ=1)120(C2xC30).455C2^3480,925
(C2×C30).456C23 = C15×C4⋊D4central extension (φ=1)240(C2xC30).456C2^3480,926
(C2×C30).457C23 = C15×C22⋊Q8central extension (φ=1)240(C2xC30).457C2^3480,927
(C2×C30).458C23 = C15×C22.D4central extension (φ=1)240(C2xC30).458C2^3480,928
(C2×C30).459C23 = C15×C4.4D4central extension (φ=1)240(C2xC30).459C2^3480,929
(C2×C30).460C23 = C15×C42.C2central extension (φ=1)480(C2xC30).460C2^3480,930
(C2×C30).461C23 = C15×C422C2central extension (φ=1)240(C2xC30).461C2^3480,931
(C2×C30).462C23 = C15×C41D4central extension (φ=1)240(C2xC30).462C2^3480,932
(C2×C30).463C23 = C15×C4⋊Q8central extension (φ=1)480(C2xC30).463C2^3480,933
(C2×C30).464C23 = Q8×C2×C30central extension (φ=1)480(C2xC30).464C2^3480,1182

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