Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C22xC3:C8 and Q=C2

Direct product G=NxQ with N=C22xC3:C8 and Q=C2
dρLabelID
C23xC3:C8192C2^3xC3:C8192,1339

Semidirect products G=N:Q with N=C22xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC3:C8):1C2 = C2xC6.D8φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):1C2192,524
(C22xC3:C8):2C2 = C4.(C2xD12)φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):2C2192,561
(C22xC3:C8):3C2 = C3:C8:22D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):3C2192,597
(C22xC3:C8):4C2 = C3:C8:23D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):4C2192,600
(C22xC3:C8):5C2 = C3:C8:24D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):5C2192,607
(C22xC3:C8):6C2 = D6:C8:40C2φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):6C2192,688
(C22xC3:C8):7C2 = C2xD4:Dic3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):7C2192,773
(C22xC3:C8):8C2 = C4oD4:4Dic3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):8C2192,792
(C22xC3:C8):9C2 = (C6xD4).11C4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):9C2192,793
(C22xC3:C8):10C2 = C2xD12.C4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):10C2192,1303
(C22xC3:C8):11C2 = C22xD4:S3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):11C2192,1351
(C22xC3:C8):12C2 = C22xD4.S3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):12C2192,1353
(C22xC3:C8):13C2 = C22xQ8:2S3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):13C2192,1366
(C22xC3:C8):14C2 = C2xD4.Dic3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):14C2192,1377
(C22xC3:C8):15C2 = C2xQ8.13D6φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):15C2192,1380
(C22xC3:C8):16C2 = C3:D4:C8φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):16C2192,284
(C22xC3:C8):17C2 = C3:C8:26D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):17C2192,289
(C22xC3:C8):18C2 = D4xC3:C8φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):18C2192,569
(C22xC3:C8):19C2 = C42.47D6φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):19C2192,570
(C22xC3:C8):20C2 = C2xD6:C8φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):20C2192,667
(C22xC3:C8):21C2 = C2xC12.55D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):21C2192,765
(C22xC3:C8):22C2 = C22xC8:S3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):22C2192,1296
(C22xC3:C8):23C2 = C22xC4.Dic3φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8):23C2192,1340
(C22xC3:C8):24C2 = S3xC22xC8φ: trivial image96(C2^2xC3:C8):24C2192,1295

Non-split extensions G=N.Q with N=C22xC3:C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22xC3:C8).1C2 = C12.C42φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).1C2192,88
(C22xC3:C8).2C2 = C12.4C42φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).2C2192,117
(C22xC3:C8).3C2 = C2xC6.Q16φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).3C2192,521
(C22xC3:C8).4C2 = C2xC12.Q8φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).4C2192,522
(C22xC3:C8).5C2 = C2xC6.SD16φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).5C2192,528
(C22xC3:C8).6C2 = C12.5C42φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).6C2192,556
(C22xC3:C8).7C2 = C4:C4.234D6φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).7C2192,557
(C22xC3:C8).8C2 = C42.43D6φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).8C2192,558
(C22xC3:C8).9C2 = C3:C8.29D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).9C2192,610
(C22xC3:C8).10C2 = C12.88(C2xQ8)φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).10C2192,678
(C22xC3:C8).11C2 = C12.7C42φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).11C2192,681
(C22xC3:C8).12C2 = C2xC12.53D4φ: C2/C1 → C2 ⊆ Out C22xC3:C896(C2^2xC3:C8).12C2192,682
(C22xC3:C8).13C2 = C2xQ8:2Dic3φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).13C2192,783
(C22xC3:C8).14C2 = C22xC3:Q16φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).14C2192,1368
(C22xC3:C8).15C2 = (C2xC12):3C8φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).15C2192,83
(C22xC3:C8).16C2 = (C2xC24):5C4φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).16C2192,109
(C22xC3:C8).17C2 = C2xC42.S3φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).17C2192,480
(C22xC3:C8).18C2 = C2xC12:C8φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).18C2192,482
(C22xC3:C8).19C2 = C2xDic3:C8φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).19C2192,658
(C22xC3:C8).20C2 = C2xC24:C4φ: C2/C1 → C2 ⊆ Out C22xC3:C8192(C2^2xC3:C8).20C2192,659
(C22xC3:C8).21C2 = C2xC4xC3:C8φ: trivial image192(C2^2xC3:C8).21C2192,479
(C22xC3:C8).22C2 = Dic3xC2xC8φ: trivial image192(C2^2xC3:C8).22C2192,657

׿
x
:
Z
F
o
wr
Q
<