Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C2×D6⋊C4 and Q=C2

Direct product G=N×Q with N=C2×D6⋊C4 and Q=C2
dρLabelID
C22×D6⋊C496C2^2xD6:C4192,1346

Semidirect products G=N:Q with N=C2×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D6⋊C4)⋊1C2 = C6.C22≀C2φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):1C2192,231
(C2×D6⋊C4)⋊2C2 = (C2×C4)⋊6D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):2C2192,498
(C2×D6⋊C4)⋊3C2 = C24.59D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):3C2192,514
(C2×D6⋊C4)⋊4C2 = C24.23D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):4C2192,515
(C2×D6⋊C4)⋊5C2 = C24.24D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):5C2192,516
(C2×D6⋊C4)⋊6C2 = C24.60D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):6C2192,517
(C2×D6⋊C4)⋊7C2 = C24.25D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):7C2192,518
(C2×D6⋊C4)⋊8C2 = C23⋊3D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):8C2192,519
(C2×D6⋊C4)⋊9C2 = C24.27D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):9C2192,520
(C2×D6⋊C4)⋊10C2 = (C2×D12)⋊10C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):10C2192,547
(C2×D6⋊C4)⋊11C2 = C24.76D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):11C2192,772
(C2×D6⋊C4)⋊12C2 = C2×C42⋊7S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):12C2192,1035
(C2×D6⋊C4)⋊13C2 = C2×C23.28D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):13C2192,1348
(C2×D6⋊C4)⋊14C2 = C2×C12⋊7D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):14C2192,1349
(C2×D6⋊C4)⋊15C2 = (C2×C12)⋊5D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):15C2192,230
(C2×D6⋊C4)⋊16C2 = C2×D6⋊D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):16C2192,1046
(C2×D6⋊C4)⋊17C2 = C2×C23.9D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):17C2192,1047
(C2×D6⋊C4)⋊18C2 = C2×C23.11D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):18C2192,1050
(C2×D6⋊C4)⋊19C2 = C2×C23.21D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):19C2192,1051
(C2×D6⋊C4)⋊20C2 = C2×C12⋊D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):20C2192,1065
(C2×D6⋊C4)⋊21C2 = D4⋊5D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):21C2192,1113
(C2×D6⋊C4)⋊22C2 = C42⋊18D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):22C2192,1115
(C2×D6⋊C4)⋊23C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):23C2192,1213
(C2×D6⋊C4)⋊24C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):24C2192,1217
(C2×D6⋊C4)⋊25C2 = C6.372+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):25C2192,1164
(C2×D6⋊C4)⋊26C2 = C6.462+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):26C2192,1176
(C2×D6⋊C4)⋊27C2 = C6.562+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):27C2192,1203
(C2×D6⋊C4)⋊28C2 = (C2×C4)⋊9D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):28C2192,224
(C2×D6⋊C4)⋊29C2 = C2×S3×C22⋊C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):29C2192,1043
(C2×D6⋊C4)⋊30C2 = C2×Dic3⋊4D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):30C2192,1044
(C2×D6⋊C4)⋊31C2 = C2×Dic3⋊D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):31C2192,1048
(C2×D6⋊C4)⋊32C2 = C2×Dic3⋊5D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):32C2192,1062
(C2×D6⋊C4)⋊33C2 = C2×D6.D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):33C2192,1064
(C2×D6⋊C4)⋊34C2 = C42⋊13D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):34C2192,1104
(C2×D6⋊C4)⋊35C2 = C42⋊19D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):35C2192,1119
(C2×D6⋊C4)⋊36C2 = C6.402+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):36C2192,1169
(C2×D6⋊C4)⋊37C2 = C6.532+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):37C2192,1196
(C2×D6⋊C4)⋊38C2 = (C2×C4)⋊3D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):38C2192,550
(C2×D6⋊C4)⋊39C2 = C24.32D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):39C2192,782
(C2×D6⋊C4)⋊40C2 = C42⋊12D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):40C2192,1086
(C2×D6⋊C4)⋊41C2 = C2×C23⋊2D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):41C2192,1358
(C2×D6⋊C4)⋊42C2 = C2×C23.14D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):42C2192,1361
(C2×D6⋊C4)⋊43C2 = C2×C12.23D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4):43C2192,1373
(C2×D6⋊C4)⋊44C2 = C6.1452+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4):44C2192,1388
(C2×D6⋊C4)⋊45C2 = C2×C4×D12φ: trivial image96(C2xD6:C4):45C2192,1032
(C2×D6⋊C4)⋊46C2 = C2×C4×C3⋊D4φ: trivial image96(C2xD6:C4):46C2192,1347

Non-split extensions G=N.Q with N=C2×D6⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C2×D6⋊C4).1C2 = C22.58(S3×D4)φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).1C2192,223
(C2×D6⋊C4).2C2 = D6⋊(C4⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).2C2192,226
(C2×D6⋊C4).3C2 = D6⋊C4⋊C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).3C2192,227
(C2×D6⋊C4).4C2 = D6⋊C4⋊5C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).4C2192,228
(C2×D6⋊C4).5C2 = D6⋊C4⋊3C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).5C2192,229
(C2×D6⋊C4).6C2 = (C22×S3)⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).6C2192,232
(C2×D6⋊C4).7C2 = (C2×C4).21D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).7C2192,233
(C2×D6⋊C4).8C2 = C6.(C4⋊D4)φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).8C2192,234
(C2×D6⋊C4).9C2 = (C22×C4).37D6φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).9C2192,235
(C2×D6⋊C4).10C2 = (C2×C42)⋊3S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).10C2192,499
(C2×D6⋊C4).11C2 = C4⋊(D6⋊C4)φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).11C2192,546
(C2×D6⋊C4).12C2 = D6⋊C4⋊6C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).12C2192,548
(C2×D6⋊C4).13C2 = D6⋊C4⋊7C4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).13C2192,549
(C2×D6⋊C4).14C2 = (C2×C12).289D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).14C2192,551
(C2×D6⋊C4).15C2 = (C2×C12).290D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).15C2192,552
(C2×D6⋊C4).16C2 = C2×C42⋊3S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).16C2192,1037
(C2×D6⋊C4).17C2 = (C2×C12).33D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).17C2192,236
(C2×D6⋊C4).18C2 = C2×D6⋊Q8φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).18C2192,1067
(C2×D6⋊C4).19C2 = C2×C4.D12φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).19C2192,1068
(C2×D6⋊C4).20C2 = C6.512+ 1+4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4).20C2192,1193
(C2×D6⋊C4).21C2 = (C22×S3)⋊C8φ: C2/C1 → C2 ⊆ Out C2×D6⋊C448(C2xD6:C4).21C2192,27
(C2×D6⋊C4).22C2 = D6⋊C42φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).22C2192,225
(C2×D6⋊C4).23C2 = C2×C4⋊C4⋊7S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).23C2192,1061
(C2×D6⋊C4).24C2 = (C2×C12).56D4φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).24C2192,553
(C2×D6⋊C4).25C2 = (C22×Q8)⋊9S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).25C2192,790
(C2×D6⋊C4).26C2 = C2×C4⋊C4⋊S3φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).26C2192,1071
(C2×D6⋊C4).27C2 = C2×D6⋊3Q8φ: C2/C1 → C2 ⊆ Out C2×D6⋊C496(C2xD6:C4).27C2192,1372
(C2×D6⋊C4).28C2 = C4×D6⋊C4φ: trivial image96(C2xD6:C4).28C2192,497
(C2×D6⋊C4).29C2 = C2×C42⋊2S3φ: trivial image96(C2xD6:C4).29C2192,1031

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁