Extensions 1→N→G→Q→1 with N=C22×C30 and Q=C22

Direct product G=N×Q with N=C22×C30 and Q=C22
dρLabelID
C24×C30480C2^4xC30480,1213

Semidirect products G=N:Q with N=C22×C30 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C30)⋊1C22 = C15×C22≀C2φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):1C2^2480,925
(C22×C30)⋊2C22 = C15×2+ 1+4φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30):2C2^2480,1184
(C22×C30)⋊3C22 = D3017D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):3C2^2480,902
(C22×C30)⋊4C22 = C2×D4×D15φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):4C2^2480,1169
(C22×C30)⋊5C22 = D46D30φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30):5C2^2480,1171
(C22×C30)⋊6C22 = D308D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):6C2^2480,653
(C22×C30)⋊7C22 = C2×D5×C3⋊D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):7C2^2480,1122
(C22×C30)⋊8C22 = C2×S3×C5⋊D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):8C2^2480,1123
(C22×C30)⋊9C22 = C2×D10⋊D6φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):9C2^2480,1124
(C22×C30)⋊10C22 = C15⋊2+ 1+4φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30):10C2^2480,1125
(C22×C30)⋊11C22 = S3×C23×D5φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):11C2^2480,1207
(C22×C30)⋊12C22 = C3×C23⋊D10φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):12C2^2480,730
(C22×C30)⋊13C22 = C6×D4×D5φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):13C2^2480,1139
(C22×C30)⋊14C22 = C3×D46D10φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30):14C2^2480,1141
(C22×C30)⋊15C22 = C5×C232D6φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):15C2^2480,816
(C22×C30)⋊16C22 = S3×D4×C10φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30):16C2^2480,1154
(C22×C30)⋊17C22 = C5×D46D6φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30):17C2^2480,1156
(C22×C30)⋊18C22 = D4×C2×C30φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):18C2^2480,1181
(C22×C30)⋊19C22 = C22×C157D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):19C2^2480,1179
(C22×C30)⋊20C22 = C24×D15φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):20C2^2480,1212
(C22×C30)⋊21C22 = C2×C6×C5⋊D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):21C2^2480,1149
(C22×C30)⋊22C22 = D5×C23×C6φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):22C2^2480,1210
(C22×C30)⋊23C22 = C2×C10×C3⋊D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):23C2^2480,1164
(C22×C30)⋊24C22 = S3×C23×C10φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30):24C2^2480,1211

Non-split extensions G=N.Q with N=C22×C30 and Q=C22
extensionφ:Q→Aut NdρLabelID
(C22×C30).1C22 = C15×C23⋊C4φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).1C2^2480,202
(C22×C30).2C22 = C15×C4⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).2C2^2480,926
(C22×C30).3C22 = C15×C4.4D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).3C2^2480,929
(C22×C30).4C22 = C15×C422C2φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).4C2^2480,931
(C22×C30).5C22 = C15×C41D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).5C2^2480,932
(C22×C30).6C22 = C23.6D30φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).6C2^2480,166
(C22×C30).7C22 = C23.7D30φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).7C2^2480,194
(C22×C30).8C22 = C23.15D30φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).8C2^2480,842
(C22×C30).9C22 = C222Dic30φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).9C2^2480,843
(C22×C30).10C22 = C23.8D30φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).10C2^2480,844
(C22×C30).11C22 = C22⋊C4×D15φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).11C2^2480,845
(C22×C30).12C22 = Dic1519D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).12C2^2480,846
(C22×C30).13C22 = D3016D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).13C2^2480,847
(C22×C30).14C22 = D30.28D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).14C2^2480,848
(C22×C30).15C22 = D309D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).15C2^2480,849
(C22×C30).16C22 = C23.11D30φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).16C2^2480,850
(C22×C30).17C22 = C22.D60φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).17C2^2480,851
(C22×C30).18C22 = D4×Dic15φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).18C2^2480,899
(C22×C30).19C22 = C23.22D30φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).19C2^2480,900
(C22×C30).20C22 = C60.17D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).20C2^2480,901
(C22×C30).21C22 = C602D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).21C2^2480,903
(C22×C30).22C22 = Dic1512D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).22C2^2480,904
(C22×C30).23C22 = C603D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).23C2^2480,905
(C22×C30).24C22 = C2×D42D15φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).24C2^2480,1170
(C22×C30).25C22 = C30.24C42φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).25C2^2480,70
(C22×C30).26C22 = (C2×C6).D20φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).26C2^2480,71
(C22×C30).27C22 = C158(C23⋊C4)φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).27C2^2480,72
(C22×C30).28C22 = C159(C23⋊C4)φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).28C2^2480,73
(C22×C30).29C22 = C23.D5⋊S3φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).29C2^2480,601
(C22×C30).30C22 = Dic15.19D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).30C2^2480,602
(C22×C30).31C22 = C2×Dic3×Dic5φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).31C2^2480,603
(C22×C30).32C22 = (C6×Dic5)⋊7C4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).32C2^2480,604
(C22×C30).33C22 = C23.26(S3×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).33C2^2480,605
(C22×C30).34C22 = C23.13(S3×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).34C2^2480,606
(C22×C30).35C22 = C23.14(S3×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).35C2^2480,607
(C22×C30).36C22 = C23.48(S3×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).36C2^2480,608
(C22×C30).37C22 = D306D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).37C2^2480,609
(C22×C30).38C22 = C6.(D4×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).38C2^2480,610
(C22×C30).39C22 = C2×D10⋊Dic3φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).39C2^2480,611
(C22×C30).40C22 = (C2×C30).D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).40C2^2480,612
(C22×C30).41C22 = C6.(C2×D20)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).41C2^2480,613
(C22×C30).42C22 = C2×D6⋊Dic5φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).42C2^2480,614
(C22×C30).43C22 = C30.(C2×D4)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).43C2^2480,615
(C22×C30).44C22 = C2×D304C4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).44C2^2480,616
(C22×C30).45C22 = C2×C30.Q8φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).45C2^2480,617
(C22×C30).46C22 = C10.(C2×D12)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).46C2^2480,618
(C22×C30).47C22 = (C2×C10).D12φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).47C2^2480,619
(C22×C30).48C22 = C2×Dic155C4φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).48C2^2480,620
(C22×C30).49C22 = C2×C6.Dic10φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).49C2^2480,621
(C22×C30).50C22 = C6.D4⋊D5φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).50C2^2480,622
(C22×C30).51C22 = D5×C6.D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).51C2^2480,623
(C22×C30).52C22 = C23.17(S3×D5)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).52C2^2480,624
(C22×C30).53C22 = (C6×D5)⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).53C2^2480,625
(C22×C30).54C22 = Dic153D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).54C2^2480,626
(C22×C30).55C22 = Dic5×C3⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).55C2^2480,627
(C22×C30).56C22 = C1526(C4×D4)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).56C2^2480,628
(C22×C30).57C22 = Dic3×C5⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).57C2^2480,629
(C22×C30).58C22 = S3×C23.D5φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).58C2^2480,630
(C22×C30).59C22 = (S3×C10).D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).59C2^2480,631
(C22×C30).60C22 = C1528(C4×D4)φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).60C2^2480,632
(C22×C30).61C22 = D307D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).61C2^2480,633
(C22×C30).62C22 = Dic154D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).62C2^2480,634
(C22×C30).63C22 = Dic1516D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).63C2^2480,635
(C22×C30).64C22 = Dic1517D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).64C2^2480,636
(C22×C30).65C22 = D30.45D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).65C2^2480,637
(C22×C30).66C22 = D30.16D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).66C2^2480,638
(C22×C30).67C22 = (C2×C30)⋊D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).67C2^2480,639
(C22×C30).68C22 = (C2×C6)⋊8D20φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).68C2^2480,640
(C22×C30).69C22 = (S3×C10)⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).69C2^2480,641
(C22×C30).70C22 = (C2×C10)⋊4D12φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).70C2^2480,642
(C22×C30).71C22 = Dic155D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).71C2^2480,643
(C22×C30).72C22 = C15⋊C22≀C2φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).72C2^2480,644
(C22×C30).73C22 = (C2×C6)⋊D20φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).73C2^2480,645
(C22×C30).74C22 = (C2×C10)⋊11D12φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).74C2^2480,646
(C22×C30).75C22 = Dic1518D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).75C2^2480,647
(C22×C30).76C22 = D3018D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).76C2^2480,648
(C22×C30).77C22 = D3019D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).77C2^2480,649
(C22×C30).78C22 = (C2×C30)⋊Q8φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).78C2^2480,650
(C22×C30).79C22 = (C2×C10)⋊8Dic6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).79C2^2480,651
(C22×C30).80C22 = Dic15.48D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).80C2^2480,652
(C22×C30).81C22 = C22×D5×Dic3φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).81C2^2480,1112
(C22×C30).82C22 = C2×Dic5.D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).82C2^2480,1113
(C22×C30).83C22 = C2×C30.C23φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).83C2^2480,1114
(C22×C30).84C22 = C22×S3×Dic5φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).84C2^2480,1115
(C22×C30).85C22 = C2×Dic3.D10φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).85C2^2480,1116
(C22×C30).86C22 = C22×D30.C2φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).86C2^2480,1117
(C22×C30).87C22 = C22×C15⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).87C2^2480,1118
(C22×C30).88C22 = C22×C3⋊D20φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).88C2^2480,1119
(C22×C30).89C22 = C22×C5⋊D12φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).89C2^2480,1120
(C22×C30).90C22 = C22×C15⋊Q8φ: C22/C1C22 ⊆ Aut C22×C30480(C2^2xC30).90C2^2480,1121
(C22×C30).91C22 = C3×C23.1D10φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).91C2^2480,84
(C22×C30).92C22 = C3×C23⋊Dic5φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).92C2^2480,112
(C22×C30).93C22 = C3×C23.11D10φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).93C2^2480,670
(C22×C30).94C22 = C3×Dic5.14D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).94C2^2480,671
(C22×C30).95C22 = C3×C23.D10φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).95C2^2480,672
(C22×C30).96C22 = C3×D5×C22⋊C4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).96C2^2480,673
(C22×C30).97C22 = C3×Dic54D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).97C2^2480,674
(C22×C30).98C22 = C3×C22⋊D20φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).98C2^2480,675
(C22×C30).99C22 = C3×D10.12D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).99C2^2480,676
(C22×C30).100C22 = C3×D10⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).100C2^2480,677
(C22×C30).101C22 = C3×Dic5.5D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).101C2^2480,678
(C22×C30).102C22 = C3×C22.D20φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).102C2^2480,679
(C22×C30).103C22 = C3×D4×Dic5φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).103C2^2480,727
(C22×C30).104C22 = C3×C23.18D10φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).104C2^2480,728
(C22×C30).105C22 = C3×C20.17D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).105C2^2480,729
(C22×C30).106C22 = C3×C202D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).106C2^2480,731
(C22×C30).107C22 = C3×Dic5⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).107C2^2480,732
(C22×C30).108C22 = C3×C20⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).108C2^2480,733
(C22×C30).109C22 = C6×D42D5φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).109C2^2480,1140
(C22×C30).110C22 = C5×C23.6D6φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).110C2^2480,125
(C22×C30).111C22 = C5×C23.7D6φ: C22/C1C22 ⊆ Aut C22×C301204(C2^2xC30).111C2^2480,153
(C22×C30).112C22 = C5×C23.16D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).112C2^2480,756
(C22×C30).113C22 = C5×Dic3.D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).113C2^2480,757
(C22×C30).114C22 = C5×C23.8D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).114C2^2480,758
(C22×C30).115C22 = C5×S3×C22⋊C4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).115C2^2480,759
(C22×C30).116C22 = C5×Dic34D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).116C2^2480,760
(C22×C30).117C22 = C5×D6⋊D4φ: C22/C1C22 ⊆ Aut C22×C30120(C2^2xC30).117C2^2480,761
(C22×C30).118C22 = C5×C23.9D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).118C2^2480,762
(C22×C30).119C22 = C5×Dic3⋊D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).119C2^2480,763
(C22×C30).120C22 = C5×C23.11D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).120C2^2480,764
(C22×C30).121C22 = C5×C23.21D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).121C2^2480,765
(C22×C30).122C22 = C5×D4×Dic3φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).122C2^2480,813
(C22×C30).123C22 = C5×C23.23D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).123C2^2480,814
(C22×C30).124C22 = C5×C23.12D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).124C2^2480,815
(C22×C30).125C22 = C5×D63D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).125C2^2480,817
(C22×C30).126C22 = C5×C23.14D6φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).126C2^2480,818
(C22×C30).127C22 = C5×C123D4φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).127C2^2480,819
(C22×C30).128C22 = C10×D42S3φ: C22/C1C22 ⊆ Aut C22×C30240(C2^2xC30).128C2^2480,1155
(C22×C30).129C22 = C22⋊C4×C30φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).129C2^2480,920
(C22×C30).130C22 = C15×C42⋊C2φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).130C2^2480,922
(C22×C30).131C22 = D4×C60φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).131C2^2480,923
(C22×C30).132C22 = C15×C22⋊Q8φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).132C2^2480,927
(C22×C30).133C22 = C15×C22.D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).133C2^2480,928
(C22×C30).134C22 = C4○D4×C30φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).134C2^2480,1183
(C22×C30).135C22 = C30.29C42φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).135C2^2480,191
(C22×C30).136C22 = C2×C4×Dic15φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).136C2^2480,887
(C22×C30).137C22 = C2×C30.4Q8φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).137C2^2480,888
(C22×C30).138C22 = C60.205D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).138C2^2480,889
(C22×C30).139C22 = C2×C605C4φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).139C2^2480,890
(C22×C30).140C22 = C23.26D30φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).140C2^2480,891
(C22×C30).141C22 = C2×D303C4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).141C2^2480,892
(C22×C30).142C22 = C4×C157D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).142C2^2480,893
(C22×C30).143C22 = C23.28D30φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).143C2^2480,894
(C22×C30).144C22 = C6029D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).144C2^2480,895
(C22×C30).145C22 = C2×C30.38D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).145C2^2480,917
(C22×C30).146C22 = C245D15φ: C22/C2C2 ⊆ Aut C22×C30120(C2^2xC30).146C2^2480,918
(C22×C30).147C22 = C22×Dic30φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).147C2^2480,1165
(C22×C30).148C22 = C22×C4×D15φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).148C2^2480,1166
(C22×C30).149C22 = C22×D60φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).149C2^2480,1167
(C22×C30).150C22 = C2×D6011C2φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).150C2^2480,1168
(C22×C30).151C22 = C23×Dic15φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).151C2^2480,1178
(C22×C30).152C22 = C3×C10.10C42φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).152C2^2480,109
(C22×C30).153C22 = Dic5×C2×C12φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).153C2^2480,715
(C22×C30).154C22 = C6×C10.D4φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).154C2^2480,716
(C22×C30).155C22 = C3×C20.48D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).155C2^2480,717
(C22×C30).156C22 = C6×C4⋊Dic5φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).156C2^2480,718
(C22×C30).157C22 = C3×C23.21D10φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).157C2^2480,719
(C22×C30).158C22 = C6×D10⋊C4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).158C2^2480,720
(C22×C30).159C22 = C12×C5⋊D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).159C2^2480,721
(C22×C30).160C22 = C3×C23.23D10φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).160C2^2480,722
(C22×C30).161C22 = C3×C207D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).161C2^2480,723
(C22×C30).162C22 = C6×C23.D5φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).162C2^2480,745
(C22×C30).163C22 = C3×C242D5φ: C22/C2C2 ⊆ Aut C22×C30120(C2^2xC30).163C2^2480,746
(C22×C30).164C22 = C2×C6×Dic10φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).164C2^2480,1135
(C22×C30).165C22 = D5×C22×C12φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).165C2^2480,1136
(C22×C30).166C22 = C2×C6×D20φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).166C2^2480,1137
(C22×C30).167C22 = C6×C4○D20φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).167C2^2480,1138
(C22×C30).168C22 = Dic5×C22×C6φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).168C2^2480,1148
(C22×C30).169C22 = C5×C6.C42φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).169C2^2480,150
(C22×C30).170C22 = Dic3×C2×C20φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).170C2^2480,801
(C22×C30).171C22 = C10×Dic3⋊C4φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).171C2^2480,802
(C22×C30).172C22 = C5×C12.48D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).172C2^2480,803
(C22×C30).173C22 = C10×C4⋊Dic3φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).173C2^2480,804
(C22×C30).174C22 = C5×C23.26D6φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).174C2^2480,805
(C22×C30).175C22 = C10×D6⋊C4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).175C2^2480,806
(C22×C30).176C22 = C20×C3⋊D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).176C2^2480,807
(C22×C30).177C22 = C5×C23.28D6φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).177C2^2480,808
(C22×C30).178C22 = C5×C127D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).178C2^2480,809
(C22×C30).179C22 = C10×C6.D4φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).179C2^2480,831
(C22×C30).180C22 = C5×C244S3φ: C22/C2C2 ⊆ Aut C22×C30120(C2^2xC30).180C2^2480,832
(C22×C30).181C22 = C2×C10×Dic6φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).181C2^2480,1150
(C22×C30).182C22 = S3×C22×C20φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).182C2^2480,1151
(C22×C30).183C22 = C2×C10×D12φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).183C2^2480,1152
(C22×C30).184C22 = C10×C4○D12φ: C22/C2C2 ⊆ Aut C22×C30240(C2^2xC30).184C2^2480,1153
(C22×C30).185C22 = Dic3×C22×C10φ: C22/C2C2 ⊆ Aut C22×C30480(C2^2xC30).185C2^2480,1163
(C22×C30).186C22 = C15×C2.C42central extension (φ=1)480(C2^2xC30).186C2^2480,198
(C22×C30).187C22 = C4⋊C4×C30central extension (φ=1)480(C2^2xC30).187C2^2480,921
(C22×C30).188C22 = Q8×C2×C30central extension (φ=1)480(C2^2xC30).188C2^2480,1182

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