Extensions 1→N→G→Q→1 with N=D5×C12 and Q=C22

Direct product G=N×Q with N=D5×C12 and Q=C22
dρLabelID
D5×C22×C12240D5xC2^2xC12480,1136

Semidirect products G=N:Q with N=D5×C12 and Q=C22
extensionφ:Q→Out NdρLabelID
(D5×C12)⋊1C22 = S3×D4×D5φ: C22/C1C22 ⊆ Out D5×C12608+(D5xC12):1C2^2480,1097
(D5×C12)⋊2C22 = S3×D42D5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12):2C2^2480,1099
(D5×C12)⋊3C22 = D30.C23φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12):3C2^2480,1100
(D5×C12)⋊4C22 = D2013D6φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12):4C2^2480,1101
(D5×C12)⋊5C22 = D2014D6φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12):5C2^2480,1102
(D5×C12)⋊6C22 = D1214D10φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12):6C2^2480,1103
(D5×C12)⋊7C22 = S3×Q82D5φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12):7C2^2480,1109
(D5×C12)⋊8C22 = D2016D6φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12):8C2^2480,1110
(D5×C12)⋊9C22 = D2017D6φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12):9C2^2480,1111
(D5×C12)⋊10C22 = D2026D6φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12):10C2^2480,1094
(D5×C12)⋊11C22 = D2029D6φ: C22/C1C22 ⊆ Out D5×C121204+(D5xC12):11C2^2480,1095
(D5×C12)⋊12C22 = S3×C4○D20φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12):12C2^2480,1091
(D5×C12)⋊13C22 = D2024D6φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12):13C2^2480,1092
(D5×C12)⋊14C22 = C3×D46D10φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12):14C2^2480,1141
(D5×C12)⋊15C22 = C3×D48D10φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12):15C2^2480,1146
(D5×C12)⋊16C22 = C2×D125D5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):16C2^2480,1084
(D5×C12)⋊17C22 = C2×C12.28D10φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):17C2^2480,1085
(D5×C12)⋊18C22 = C2×D5×D12φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12):18C2^2480,1087
(D5×C12)⋊19C22 = C2×D6.D10φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):19C2^2480,1083
(D5×C12)⋊20C22 = S3×C2×C4×D5φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12):20C2^2480,1086
(D5×C12)⋊21C22 = D5×C4○D12φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12):21C2^2480,1090
(D5×C12)⋊22C22 = C6×D4×D5φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12):22C2^2480,1139
(D5×C12)⋊23C22 = C6×D42D5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):23C2^2480,1140
(D5×C12)⋊24C22 = C6×Q82D5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):24C2^2480,1143
(D5×C12)⋊25C22 = C6×C4○D20φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12):25C2^2480,1138
(D5×C12)⋊26C22 = C3×D5×C4○D4φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12):26C2^2480,1145

Non-split extensions G=N.Q with N=D5×C12 and Q=C22
extensionφ:Q→Out NdρLabelID
(D5×C12).1C22 = D5×D4⋊S3φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).1C2^2480,553
(D5×C12).2C22 = Dic103D6φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).2C2^2480,554
(D5×C12).3C22 = D5×D4.S3φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).3C2^2480,559
(D5×C12).4C22 = C60.8C23φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).4C2^2480,560
(D5×C12).5C22 = D1210D10φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).5C2^2480,565
(D5×C12).6C22 = D12.24D10φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).6C2^2480,566
(D5×C12).7C22 = D20.9D6φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).7C2^2480,567
(D5×C12).8C22 = C60.16C23φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).8C2^2480,568
(D5×C12).9C22 = D5×Q82S3φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).9C2^2480,577
(D5×C12).10C22 = D20⋊D6φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).10C2^2480,578
(D5×C12).11C22 = D5×C3⋊Q16φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).11C2^2480,583
(D5×C12).12C22 = D20.13D6φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).12C2^2480,584
(D5×C12).13C22 = D12.27D10φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).13C2^2480,589
(D5×C12).14C22 = D20.14D6φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).14C2^2480,590
(D5×C12).15C22 = C60.39C23φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).15C2^2480,591
(D5×C12).16C22 = D20.D6φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).16C2^2480,592
(D5×C12).17C22 = C15⋊2- 1+4φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).17C2^2480,1096
(D5×C12).18C22 = D5×D42S3φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).18C2^2480,1098
(D5×C12).19C22 = D20.29D6φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).19C2^2480,1104
(D5×C12).20C22 = C30.33C24φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).20C2^2480,1105
(D5×C12).21C22 = D12.29D10φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).21C2^2480,1106
(D5×C12).22C22 = S3×Q8×D5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).22C2^2480,1107
(D5×C12).23C22 = D5×Q83S3φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).23C2^2480,1108
(D5×C12).24C22 = C24⋊D10φ: C22/C1C22 ⊆ Out D5×C121204+(D5xC12).24C2^2480,325
(D5×C12).25C22 = D24⋊D5φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12).25C2^2480,326
(D5×C12).26C22 = Dic60⋊C2φ: C22/C1C22 ⊆ Out D5×C122404-(D5xC12).26C2^2480,336
(D5×C12).27C22 = C24.2D10φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).27C2^2480,337
(D5×C12).28C22 = D20.38D6φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).28C2^2480,1076
(D5×C12).29C22 = D20.39D6φ: C22/C1C22 ⊆ Out D5×C122404-(D5xC12).29C2^2480,1077
(D5×C12).30C22 = D60⋊C4φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).30C2^2480,227
(D5×C12).31C22 = Dic6⋊F5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).31C2^2480,229
(D5×C12).32C22 = D124F5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).32C2^2480,231
(D5×C12).33C22 = D602C4φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).33C2^2480,233
(D5×C12).34C22 = Dic65F5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).34C2^2480,984
(D5×C12).35C22 = D12.F5φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).35C2^2480,989
(D5×C12).36C22 = Dic6.F5φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).36C2^2480,992
(D5×C12).37C22 = D603C4φ: C22/C1C22 ⊆ Out D5×C12608+(D5xC12).37C2^2480,997
(D5×C12).38C22 = D12⋊F5φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).38C2^2480,228
(D5×C12).39C22 = Dic30⋊C4φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).39C2^2480,230
(D5×C12).40C22 = D122F5φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).40C2^2480,232
(D5×C12).41C22 = D605C4φ: C22/C1C22 ⊆ Out D5×C121208+(D5xC12).41C2^2480,234
(D5×C12).42C22 = F5×Dic6φ: C22/C1C22 ⊆ Out D5×C121208-(D5xC12).42C2^2480,982
(D5×C12).43C22 = D12.2F5φ: C22/C1C22 ⊆ Out D5×C122408-(D5xC12).43C2^2480,987
(D5×C12).44C22 = D60.C4φ: C22/C1C22 ⊆ Out D5×C122408+(D5xC12).44C2^2480,990
(D5×C12).45C22 = F5×D12φ: C22/C1C22 ⊆ Out D5×C12608+(D5xC12).45C2^2480,995
(D5×C12).46C22 = Dic5.Dic6φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).46C2^2480,235
(D5×C12).47C22 = Dic5.4Dic6φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).47C2^2480,236
(D5×C12).48C22 = D10.Dic6φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).48C2^2480,237
(D5×C12).49C22 = D10.2Dic6φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).49C2^2480,238
(D5×C12).50C22 = C4⋊F53S3φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).50C2^2480,983
(D5×C12).51C22 = S3×C4.F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).51C2^2480,988
(D5×C12).52C22 = D15⋊M4(2)φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).52C2^2480,991
(D5×C12).53C22 = S3×C4⋊F5φ: C22/C1C22 ⊆ Out D5×C12608(D5xC12).53C2^2480,996
(D5×C12).54C22 = S3×C8⋊D5φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12).54C2^2480,321
(D5×C12).55C22 = C40⋊D6φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12).55C2^2480,322
(D5×C12).56C22 = C40.55D6φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).56C2^2480,343
(D5×C12).57C22 = C40.35D6φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).57C2^2480,344
(D5×C12).58C22 = D20.3Dic3φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).58C2^2480,359
(D5×C12).59C22 = D20.2Dic3φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).59C2^2480,360
(D5×C12).60C22 = F5×C3⋊C8φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).60C2^2480,223
(D5×C12).61C22 = C30.C42φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).61C2^2480,224
(D5×C12).62C22 = C30.3C42φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).62C2^2480,225
(D5×C12).63C22 = C30.4C42φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).63C2^2480,226
(D5×C12).64C22 = (C4×S3)⋊F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).64C2^2480,985
(D5×C12).65C22 = S3×D5⋊C8φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).65C2^2480,986
(D5×C12).66C22 = C5⋊C8⋊D6φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).66C2^2480,993
(D5×C12).67C22 = C4×S3×F5φ: C22/C1C22 ⊆ Out D5×C12608(D5xC12).67C2^2480,994
(D5×C12).68C22 = D20⋊Dic3φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).68C2^2480,312
(D5×C12).69C22 = Dic10⋊Dic3φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).69C2^2480,313
(D5×C12).70C22 = Dic102Dic3φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).70C2^2480,314
(D5×C12).71C22 = D202Dic3φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).71C2^2480,315
(D5×C12).72C22 = Dic10.Dic3φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).72C2^2480,1066
(D5×C12).73C22 = D4×C3⋊F5φ: C22/C1C22 ⊆ Out D5×C12608(D5xC12).73C2^2480,1067
(D5×C12).74C22 = D20.Dic3φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).74C2^2480,1068
(D5×C12).75C22 = Q8×C3⋊F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).75C2^2480,1069
(D5×C12).76C22 = C3×D8⋊D5φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12).76C2^2480,704
(D5×C12).77C22 = C3×D40⋊C2φ: C22/C1C22 ⊆ Out D5×C121204(D5xC12).77C2^2480,707
(D5×C12).78C22 = C3×SD16⋊D5φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).78C2^2480,708
(D5×C12).79C22 = C3×Q16⋊D5φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).79C2^2480,711
(D5×C12).80C22 = C3×Q8.10D10φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).80C2^2480,1144
(D5×C12).81C22 = C3×D4.10D10φ: C22/C1C22 ⊆ Out D5×C122404(D5xC12).81C2^2480,1147
(D5×C12).82C22 = C3×D20⋊C4φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).82C2^2480,287
(D5×C12).83C22 = C3×D4⋊F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).83C2^2480,288
(D5×C12).84C22 = C3×Q8⋊F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).84C2^2480,289
(D5×C12).85C22 = C3×Q82F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).85C2^2480,290
(D5×C12).86C22 = C3×D4.F5φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).86C2^2480,1053
(D5×C12).87C22 = C3×D4×F5φ: C22/C1C22 ⊆ Out D5×C12608(D5xC12).87C2^2480,1054
(D5×C12).88C22 = C3×Q8.F5φ: C22/C1C22 ⊆ Out D5×C122408(D5xC12).88C2^2480,1055
(D5×C12).89C22 = C3×Q8×F5φ: C22/C1C22 ⊆ Out D5×C121208(D5xC12).89C2^2480,1056
(D5×C12).90C22 = D5×C24⋊C2φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).90C2^2480,323
(D5×C12).91C22 = D5×D24φ: C22/C2C2 ⊆ Out D5×C121204+(D5xC12).91C2^2480,324
(D5×C12).92C22 = D5×Dic12φ: C22/C2C2 ⊆ Out D5×C122404-(D5xC12).92C2^2480,335
(D5×C12).93C22 = C40.31D6φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).93C2^2480,345
(D5×C12).94C22 = D247D5φ: C22/C2C2 ⊆ Out D5×C122404-(D5xC12).94C2^2480,346
(D5×C12).95C22 = D120⋊C2φ: C22/C2C2 ⊆ Out D5×C122404+(D5xC12).95C2^2480,347
(D5×C12).96C22 = C2×D5×Dic6φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).96C2^2480,1073
(D5×C12).97C22 = S3×C8×D5φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).97C2^2480,319
(D5×C12).98C22 = D5×C8⋊S3φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).98C2^2480,320
(D5×C12).99C22 = C40.54D6φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).99C2^2480,341
(D5×C12).100C22 = C40.34D6φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).100C2^2480,342
(D5×C12).101C22 = C2×D5×C3⋊C8φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).101C2^2480,357
(D5×C12).102C22 = D5×C4.Dic3φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).102C2^2480,358
(D5×C12).103C22 = C2×C20.32D6φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).103C2^2480,369
(D5×C12).104C22 = C3×D5×D8φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).104C2^2480,703
(D5×C12).105C22 = C3×D83D5φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).105C2^2480,705
(D5×C12).106C22 = C3×D5×SD16φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).106C2^2480,706
(D5×C12).107C22 = C3×SD163D5φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).107C2^2480,709
(D5×C12).108C22 = C3×D5×Q16φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).108C2^2480,710
(D5×C12).109C22 = C3×Q8.D10φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).109C2^2480,712
(D5×C12).110C22 = C6×Q8×D5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).110C2^2480,1142
(D5×C12).111C22 = C120⋊C4φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).111C2^2480,298
(D5×C12).112C22 = D5.D24φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).112C2^2480,299
(D5×C12).113C22 = C40.Dic3φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).113C2^2480,300
(D5×C12).114C22 = C24.1F5φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).114C2^2480,301
(D5×C12).115C22 = C2×C12.F5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).115C2^2480,1061
(D5×C12).116C22 = C2×C60⋊C4φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12).116C2^2480,1064
(D5×C12).117C22 = C6×C8⋊D5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).117C2^2480,693
(D5×C12).118C22 = C3×D20.3C4φ: C22/C2C2 ⊆ Out D5×C122402(D5xC12).118C2^2480,694
(D5×C12).119C22 = C3×D5×M4(2)φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).119C2^2480,699
(D5×C12).120C22 = C3×D20.2C4φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).120C2^2480,700
(D5×C12).121C22 = C8×C3⋊F5φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).121C2^2480,296
(D5×C12).122C22 = C24⋊F5φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).122C2^2480,297
(D5×C12).123C22 = C2×C60.C4φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).123C2^2480,1060
(D5×C12).124C22 = C60.59(C2×C4)φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).124C2^2480,1062
(D5×C12).125C22 = C2×C4×C3⋊F5φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12).125C2^2480,1063
(D5×C12).126C22 = (C2×C12)⋊6F5φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).126C2^2480,1065
(D5×C12).127C22 = C3×C40⋊C4φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).127C2^2480,273
(D5×C12).128C22 = C3×D5.D8φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).128C2^2480,274
(D5×C12).129C22 = C3×C40.C4φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).129C2^2480,275
(D5×C12).130C22 = C3×D10.Q8φ: C22/C2C2 ⊆ Out D5×C122404(D5xC12).130C2^2480,276
(D5×C12).131C22 = C6×C4.F5φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).131C2^2480,1048
(D5×C12).132C22 = C3×D5⋊M4(2)φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).132C2^2480,1049
(D5×C12).133C22 = C6×C4⋊F5φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12).133C2^2480,1051
(D5×C12).134C22 = C3×D10.C23φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).134C2^2480,1052
(D5×C12).135C22 = F5×C24φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).135C2^2480,271
(D5×C12).136C22 = C3×C8⋊F5φ: C22/C2C2 ⊆ Out D5×C121204(D5xC12).136C2^2480,272
(D5×C12).137C22 = C6×D5⋊C8φ: C22/C2C2 ⊆ Out D5×C12240(D5xC12).137C2^2480,1047
(D5×C12).138C22 = F5×C2×C12φ: C22/C2C2 ⊆ Out D5×C12120(D5xC12).138C2^2480,1050
(D5×C12).139C22 = D5×C2×C24φ: trivial image240(D5xC12).139C2^2480,692

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