Extensions 1→N→G→Q→1 with N=C2xD6:C4 and Q=C2

Direct product G=NxQ with N=C2xD6:C4 and Q=C2
dρLabelID
C22xD6:C496C2^2xD6:C4192,1346

Semidirect products G=N:Q with N=C2xD6:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xD6:C4):1C2 = C6.C22wrC2φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):1C2192,231
(C2xD6:C4):2C2 = (C2xC4):6D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):2C2192,498
(C2xD6:C4):3C2 = C24.59D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):3C2192,514
(C2xD6:C4):4C2 = C24.23D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):4C2192,515
(C2xD6:C4):5C2 = C24.24D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):5C2192,516
(C2xD6:C4):6C2 = C24.60D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):6C2192,517
(C2xD6:C4):7C2 = C24.25D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):7C2192,518
(C2xD6:C4):8C2 = C23:3D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):8C2192,519
(C2xD6:C4):9C2 = C24.27D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):9C2192,520
(C2xD6:C4):10C2 = (C2xD12):10C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):10C2192,547
(C2xD6:C4):11C2 = C24.76D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):11C2192,772
(C2xD6:C4):12C2 = C2xC42:7S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):12C2192,1035
(C2xD6:C4):13C2 = C2xC23.28D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):13C2192,1348
(C2xD6:C4):14C2 = C2xC12:7D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):14C2192,1349
(C2xD6:C4):15C2 = (C2xC12):5D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):15C2192,230
(C2xD6:C4):16C2 = C2xD6:D4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):16C2192,1046
(C2xD6:C4):17C2 = C2xC23.9D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):17C2192,1047
(C2xD6:C4):18C2 = C2xC23.11D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):18C2192,1050
(C2xD6:C4):19C2 = C2xC23.21D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):19C2192,1051
(C2xD6:C4):20C2 = C2xC12:D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):20C2192,1065
(C2xD6:C4):21C2 = D4:5D12φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):21C2192,1113
(C2xD6:C4):22C2 = C42:18D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):22C2192,1115
(C2xD6:C4):23C2 = C6.1212+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):23C2192,1213
(C2xD6:C4):24C2 = C6.1222+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):24C2192,1217
(C2xD6:C4):25C2 = C6.372+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):25C2192,1164
(C2xD6:C4):26C2 = C6.462+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):26C2192,1176
(C2xD6:C4):27C2 = C6.562+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):27C2192,1203
(C2xD6:C4):28C2 = (C2xC4):9D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):28C2192,224
(C2xD6:C4):29C2 = C2xS3xC22:C4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):29C2192,1043
(C2xD6:C4):30C2 = C2xDic3:4D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):30C2192,1044
(C2xD6:C4):31C2 = C2xDic3:D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):31C2192,1048
(C2xD6:C4):32C2 = C2xDic3:5D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):32C2192,1062
(C2xD6:C4):33C2 = C2xD6.D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):33C2192,1064
(C2xD6:C4):34C2 = C42:13D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):34C2192,1104
(C2xD6:C4):35C2 = C42:19D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):35C2192,1119
(C2xD6:C4):36C2 = C6.402+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):36C2192,1169
(C2xD6:C4):37C2 = C6.532+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):37C2192,1196
(C2xD6:C4):38C2 = (C2xC4):3D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):38C2192,550
(C2xD6:C4):39C2 = C24.32D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):39C2192,782
(C2xD6:C4):40C2 = C42:12D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):40C2192,1086
(C2xD6:C4):41C2 = C2xC23:2D6φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):41C2192,1358
(C2xD6:C4):42C2 = C2xC23.14D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):42C2192,1361
(C2xD6:C4):43C2 = C2xC12.23D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4):43C2192,1373
(C2xD6:C4):44C2 = C6.1452+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4):44C2192,1388
(C2xD6:C4):45C2 = C2xC4xD12φ: trivial image96(C2xD6:C4):45C2192,1032
(C2xD6:C4):46C2 = C2xC4xC3:D4φ: trivial image96(C2xD6:C4):46C2192,1347

Non-split extensions G=N.Q with N=C2xD6:C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2xD6:C4).1C2 = C22.58(S3xD4)φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).1C2192,223
(C2xD6:C4).2C2 = D6:(C4:C4)φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).2C2192,226
(C2xD6:C4).3C2 = D6:C4:C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).3C2192,227
(C2xD6:C4).4C2 = D6:C4:5C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).4C2192,228
(C2xD6:C4).5C2 = D6:C4:3C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).5C2192,229
(C2xD6:C4).6C2 = (C22xS3):Q8φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).6C2192,232
(C2xD6:C4).7C2 = (C2xC4).21D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).7C2192,233
(C2xD6:C4).8C2 = C6.(C4:D4)φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).8C2192,234
(C2xD6:C4).9C2 = (C22xC4).37D6φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).9C2192,235
(C2xD6:C4).10C2 = (C2xC42):3S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).10C2192,499
(C2xD6:C4).11C2 = C4:(D6:C4)φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).11C2192,546
(C2xD6:C4).12C2 = D6:C4:6C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).12C2192,548
(C2xD6:C4).13C2 = D6:C4:7C4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).13C2192,549
(C2xD6:C4).14C2 = (C2xC12).289D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).14C2192,551
(C2xD6:C4).15C2 = (C2xC12).290D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).15C2192,552
(C2xD6:C4).16C2 = C2xC42:3S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).16C2192,1037
(C2xD6:C4).17C2 = (C2xC12).33D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).17C2192,236
(C2xD6:C4).18C2 = C2xD6:Q8φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).18C2192,1067
(C2xD6:C4).19C2 = C2xC4.D12φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).19C2192,1068
(C2xD6:C4).20C2 = C6.512+ 1+4φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4).20C2192,1193
(C2xD6:C4).21C2 = (C22xS3):C8φ: C2/C1C2 ⊆ Out C2xD6:C448(C2xD6:C4).21C2192,27
(C2xD6:C4).22C2 = D6:C42φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).22C2192,225
(C2xD6:C4).23C2 = C2xC4:C4:7S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).23C2192,1061
(C2xD6:C4).24C2 = (C2xC12).56D4φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).24C2192,553
(C2xD6:C4).25C2 = (C22xQ8):9S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).25C2192,790
(C2xD6:C4).26C2 = C2xC4:C4:S3φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).26C2192,1071
(C2xD6:C4).27C2 = C2xD6:3Q8φ: C2/C1C2 ⊆ Out C2xD6:C496(C2xD6:C4).27C2192,1372
(C2xD6:C4).28C2 = C4xD6:C4φ: trivial image96(C2xD6:C4).28C2192,497
(C2xD6:C4).29C2 = C2xC42:2S3φ: trivial image96(C2xD6:C4).29C2192,1031

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