# Extensions 1→N→G→Q→1 with N=C22×D15 and Q=C22

Direct product G=N×Q with N=C22×D15 and Q=C22
dρLabelID
C24×D15240C2^4xD15480,1212

Semidirect products G=N:Q with N=C22×D15 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×D15)⋊1C22 = D3016D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):1C2^2480,847
(C22×D15)⋊2C22 = C245D15φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):2C2^2480,918
(C22×D15)⋊3C22 = D46D30φ: C22/C1C22 ⊆ Out C22×D151204(C2^2xD15):3C2^2480,1171
(C22×D15)⋊4C22 = D48D30φ: C22/C1C22 ⊆ Out C22×D151204+(C2^2xD15):4C2^2480,1176
(C22×D15)⋊5C22 = D305D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):5C2^2480,552
(C22×D15)⋊6C22 = (C2×C6)⋊8D20φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):6C2^2480,640
(C22×D15)⋊7C22 = (C2×C10)⋊11D12φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):7C2^2480,646
(C22×D15)⋊8C22 = C2×D5×D12φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):8C2^2480,1087
(C22×D15)⋊9C22 = C2×S3×D20φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):9C2^2480,1088
(C22×D15)⋊10C22 = D2029D6φ: C22/C1C22 ⊆ Out C22×D151204+(C2^2xD15):10C2^2480,1095
(C22×D15)⋊11C22 = S3×D4×D5φ: C22/C1C22 ⊆ Out C22×D15608+(C2^2xD15):11C2^2480,1097
(C22×D15)⋊12C22 = D2014D6φ: C22/C1C22 ⊆ Out C22×D151208+(C2^2xD15):12C2^2480,1102
(C22×D15)⋊13C22 = D1214D10φ: C22/C1C22 ⊆ Out C22×D151208+(C2^2xD15):13C2^2480,1103
(C22×D15)⋊14C22 = C2×D5×C3⋊D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):14C2^2480,1122
(C22×D15)⋊15C22 = C2×S3×C5⋊D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15):15C2^2480,1123
(C22×D15)⋊16C22 = C15⋊2+ 1+4φ: C22/C1C22 ⊆ Out C22×D151204(C2^2xD15):16C2^2480,1125
(C22×D15)⋊17C22 = C22×D60φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15):17C2^2480,1167
(C22×D15)⋊18C22 = C2×D4×D15φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15):18C2^2480,1169
(C22×D15)⋊19C22 = C22×C157D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15):19C2^2480,1179
(C22×D15)⋊20C22 = C22×C3⋊D20φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15):20C2^2480,1119
(C22×D15)⋊21C22 = C22×C5⋊D12φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15):21C2^2480,1120
(C22×D15)⋊22C22 = C2×D10⋊D6φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15):22C2^2480,1124
(C22×D15)⋊23C22 = S3×C23×D5φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15):23C2^2480,1207

Non-split extensions G=N.Q with N=C22×D15 and Q=C22
extensionφ:Q→Out NdρLabelID
(C22×D15).1C22 = C426D15φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).1C2^2480,839
(C22×D15).2C22 = C427D15φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).2C2^2480,840
(C22×D15).3C22 = C423D15φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).3C2^2480,841
(C22×D15).4C22 = D309D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).4C2^2480,849
(C22×D15).5C22 = C23.11D30φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).5C2^2480,850
(C22×D15).6C22 = C22.D60φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).6C2^2480,851
(C22×D15).7C22 = D30.29D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).7C2^2480,859
(C22×D15).8C22 = C4⋊D60φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).8C2^2480,860
(C22×D15).9C22 = C4⋊C4⋊D15φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).9C2^2480,863
(C22×D15).10C22 = C23.28D30φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).10C2^2480,894
(C22×D15).11C22 = C6029D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).11C2^2480,895
(C22×D15).12C22 = Dic1512D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).12C2^2480,904
(C22×D15).13C22 = C603D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).13C2^2480,905
(C22×D15).14C22 = C60.23D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).14C2^2480,912
(C22×D15).15C22 = (C2×C20).D6φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).15C2^2480,402
(C22×D15).16C22 = C4⋊Dic3⋊D5φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).16C2^2480,413
(C22×D15).17C22 = C4⋊Dic5⋊S3φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).17C2^2480,421
(C22×D15).18C22 = Dic3⋊C4⋊D5φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).18C2^2480,424
(C22×D15).19C22 = Dic5.8D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).19C2^2480,426
(C22×D15).20C22 = D6⋊Dic5⋊C2φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).20C2^2480,427
(C22×D15).21C22 = Dic3.D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).21C2^2480,429
(C22×D15).22C22 = D30.D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).22C2^2480,432
(C22×D15).23C22 = C60.47D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).23C2^2480,450
(C22×D15).24C22 = C60.70D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).24C2^2480,451
(C22×D15).25C22 = C10.D4⋊S3φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).25C2^2480,456
(C22×D15).26C22 = (C4×Dic5)⋊S3φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).26C2^2480,463
(C22×D15).27C22 = Dic34D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).27C2^2480,471
(C22×D15).28C22 = D30.C2⋊C4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).28C2^2480,478
(C22×D15).29C22 = D30.23(C2×C4)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).29C2^2480,479
(C22×D15).30C22 = Dic54D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).30C2^2480,481
(C22×D15).31C22 = Dic3⋊D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).31C2^2480,485
(C22×D15).32C22 = D30⋊Q8φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).32C2^2480,487
(C22×D15).33C22 = D10.16D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).33C2^2480,489
(C22×D15).34C22 = Dic5⋊D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).34C2^2480,492
(C22×D15).35C22 = D6017C4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).35C2^2480,494
(C22×D15).36C22 = D302Q8φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).36C2^2480,495
(C22×D15).37C22 = D30⋊D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).37C2^2480,496
(C22×D15).38C22 = D303Q8φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).38C2^2480,500
(C22×D15).39C22 = D6.D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).39C2^2480,503
(C22×D15).40C22 = D6014C4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).40C2^2480,504
(C22×D15).41C22 = D304Q8φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).41C2^2480,505
(C22×D15).42C22 = D30.6D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).42C2^2480,509
(C22×D15).43C22 = D30.7D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).43C2^2480,514
(C22×D15).44C22 = C1520(C4×D4)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).44C2^2480,520
(C22×D15).45C22 = C1522(C4×D4)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).45C2^2480,522
(C22×D15).46C22 = D10⋊D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).46C2^2480,524
(C22×D15).47C22 = C127D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).47C2^2480,526
(C22×D15).48C22 = C20⋊D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).48C2^2480,527
(C22×D15).49C22 = D6⋊D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).49C2^2480,530
(C22×D15).50C22 = (C2×Dic6)⋊D5φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).50C2^2480,531
(C22×D15).51C22 = C12⋊D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).51C2^2480,534
(C22×D15).52C22 = D302D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).52C2^2480,535
(C22×D15).53C22 = C606D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).53C2^2480,536
(C22×D15).54C22 = D5×D6⋊C4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15).54C2^2480,547
(C22×D15).55C22 = S3×D10⋊C4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15).55C2^2480,548
(C22×D15).56C22 = D64D20φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15).56C2^2480,550
(C22×D15).57C22 = D304D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15).57C2^2480,551
(C22×D15).58C22 = Dic15.19D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).58C2^2480,602
(C22×D15).59C22 = D306D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).59C2^2480,609
(C22×D15).60C22 = C10.(C2×D12)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).60C2^2480,618
(C22×D15).61C22 = C6.D4⋊D5φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).61C2^2480,622
(C22×D15).62C22 = Dic153D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).62C2^2480,626
(C22×D15).63C22 = C1526(C4×D4)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).63C2^2480,628
(C22×D15).64C22 = C1528(C4×D4)φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).64C2^2480,632
(C22×D15).65C22 = D307D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).65C2^2480,633
(C22×D15).66C22 = Dic154D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).66C2^2480,634
(C22×D15).67C22 = D30.16D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).67C2^2480,638
(C22×D15).68C22 = (C2×C10)⋊4D12φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).68C2^2480,642
(C22×D15).69C22 = Dic155D4φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).69C2^2480,643
(C22×D15).70C22 = (C2×C6)⋊D20φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).70C2^2480,645
(C22×D15).71C22 = D308D4φ: C22/C1C22 ⊆ Out C22×D15120(C2^2xD15).71C2^2480,653
(C22×D15).72C22 = C2×D60⋊C2φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).72C2^2480,1081
(C22×D15).73C22 = C2×C12.28D10φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).73C2^2480,1085
(C22×D15).74C22 = D30.C23φ: C22/C1C22 ⊆ Out C22×D151208+(C2^2xD15).74C2^2480,1100
(C22×D15).75C22 = C2×Dic5.D6φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).75C2^2480,1113
(C22×D15).76C22 = C2×Dic3.D10φ: C22/C1C22 ⊆ Out C22×D15240(C2^2xD15).76C2^2480,1116
(C22×D15).77C22 = C422D15φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).77C2^2480,837
(C22×D15).78C22 = C4×D60φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).78C2^2480,838
(C22×D15).79C22 = Dic1519D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).79C2^2480,846
(C22×D15).80C22 = D30.28D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).80C2^2480,848
(C22×D15).81C22 = C4⋊C47D15φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).81C2^2480,857
(C22×D15).82C22 = D6011C4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).82C2^2480,858
(C22×D15).83C22 = D305Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).83C2^2480,861
(C22×D15).84C22 = D306Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).84C2^2480,862
(C22×D15).85C22 = C2×D303C4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).85C2^2480,892
(C22×D15).86C22 = C4×C157D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).86C2^2480,893
(C22×D15).87C22 = D3017D4φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).87C2^2480,902
(C22×D15).88C22 = C602D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).88C2^2480,903
(C22×D15).89C22 = D307Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).89C2^2480,911
(C22×D15).90C22 = C2×D6011C2φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).90C2^2480,1168
(C22×D15).91C22 = C2×D42D15φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).91C2^2480,1170
(C22×D15).92C22 = C2×Q83D15φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).92C2^2480,1173
(C22×D15).93C22 = C4○D4×D15φ: C22/C2C2 ⊆ Out C22×D151204(C2^2xD15).93C2^2480,1175
(C22×D15).94C22 = (C4×D15)⋊8C4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).94C2^2480,423
(C22×D15).95C22 = D30.34D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).95C2^2480,430
(C22×D15).96C22 = D30.35D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).96C2^2480,431
(C22×D15).97C22 = D308Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).97C2^2480,453
(C22×D15).98C22 = D309Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).98C2^2480,459
(C22×D15).99C22 = (C4×D15)⋊10C4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).99C2^2480,462
(C22×D15).100C22 = D3010Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).100C2^2480,466
(C22×D15).101C22 = Dic1513D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).101C2^2480,472
(C22×D15).102C22 = C4×D30.C2φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).102C2^2480,477
(C22×D15).103C22 = D30.Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).103C2^2480,480
(C22×D15).104C22 = Dic1514D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).104C2^2480,482
(C22×D15).105C22 = D30.2Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).105C2^2480,513
(C22×D15).106C22 = C4×C3⋊D20φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).106C2^2480,519
(C22×D15).107C22 = C4×C5⋊D12φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).107C2^2480,521
(C22×D15).108C22 = D3012D4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).108C2^2480,537
(C22×D15).109C22 = C122D20φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).109C2^2480,541
(C22×D15).110C22 = C202D12φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).110C2^2480,542
(C22×D15).111C22 = D30.27D4φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).111C2^2480,549
(C22×D15).112C22 = C2×D304C4φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).112C2^2480,616
(C22×D15).113C22 = D30.45D4φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).113C2^2480,637
(C22×D15).114C22 = D3018D4φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).114C2^2480,648
(C22×D15).115C22 = D3019D4φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).115C2^2480,649
(C22×D15).116C22 = C2×D20⋊S3φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).116C2^2480,1075
(C22×D15).117C22 = C2×D12⋊D5φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).117C2^2480,1079
(C22×D15).118C22 = C2×D15⋊Q8φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).118C2^2480,1082
(C22×D15).119C22 = C2×D6.D10φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).119C2^2480,1083
(C22×D15).120C22 = S3×C2×C4×D5φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).120C2^2480,1086
(C22×D15).121C22 = C2×C20⋊D6φ: C22/C2C2 ⊆ Out C22×D15120(C2^2xD15).121C2^2480,1089
(C22×D15).122C22 = D2024D6φ: C22/C2C2 ⊆ Out C22×D151204(C2^2xD15).122C2^2480,1092
(C22×D15).123C22 = C22×D30.C2φ: C22/C2C2 ⊆ Out C22×D15240(C2^2xD15).123C2^2480,1117
(C22×D15).124C22 = C42×D15φ: trivial image240(C2^2xD15).124C2^2480,836
(C22×D15).125C22 = C22⋊C4×D15φ: trivial image120(C2^2xD15).125C2^2480,845
(C22×D15).126C22 = C4⋊C4×D15φ: trivial image240(C2^2xD15).126C2^2480,856
(C22×D15).127C22 = C22×C4×D15φ: trivial image240(C2^2xD15).127C2^2480,1166
(C22×D15).128C22 = C2×Q8×D15φ: trivial image240(C2^2xD15).128C2^2480,1172

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