Extensions 1→N→G→Q→1 with N=Dic12 and Q=C22

Direct product G=NxQ with N=Dic12 and Q=C22
dρLabelID
C22xDic12192C2^2xDic12192,1301

Semidirect products G=N:Q with N=Dic12 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic12:1C22 = D8:4D6φ: C22/C1C22 ⊆ Out Dic12488-Dic12:1C2^2192,1332
Dic12:2C22 = D8:6D6φ: C22/C1C22 ⊆ Out Dic12488-Dic12:2C2^2192,1334
Dic12:3C22 = S3xC8.C22φ: C22/C1C22 ⊆ Out Dic12488-Dic12:3C2^2192,1335
Dic12:4C22 = D8:D6φ: C22/C1C22 ⊆ Out Dic12484Dic12:4C2^2192,470
Dic12:5C22 = S3xSD32φ: C22/C1C22 ⊆ Out Dic12484Dic12:5C2^2192,472
Dic12:6C22 = C2xC48:C2φ: C22/C2C2 ⊆ Out Dic1296Dic12:6C2^2192,462
Dic12:7C22 = C16:D6φ: C22/C2C2 ⊆ Out Dic12484+Dic12:7C2^2192,467
Dic12:8C22 = C2xC8.D6φ: C22/C2C2 ⊆ Out Dic1296Dic12:8C2^2192,1306
Dic12:9C22 = C24.9C23φ: C22/C2C2 ⊆ Out Dic12484Dic12:9C2^2192,1307
Dic12:10C22 = D4.11D12φ: C22/C2C2 ⊆ Out Dic12484Dic12:10C2^2192,1310
Dic12:11C22 = D8.D6φ: C22/C2C2 ⊆ Out Dic12484Dic12:11C2^2192,706
Dic12:12C22 = C2xD8.S3φ: C22/C2C2 ⊆ Out Dic1296Dic12:12C2^2192,707
Dic12:13C22 = C2xD8:3S3φ: C22/C2C2 ⊆ Out Dic1296Dic12:13C2^2192,1315
Dic12:14C22 = D8:13D6φ: C22/C2C2 ⊆ Out Dic12484Dic12:14C2^2192,1316
Dic12:15C22 = C2xS3xQ16φ: C22/C2C2 ⊆ Out Dic1296Dic12:15C2^2192,1322
Dic12:16C22 = S3xC4oD8φ: C22/C2C2 ⊆ Out Dic12484Dic12:16C2^2192,1326
Dic12:17C22 = C2xD4.D6φ: C22/C2C2 ⊆ Out Dic1296Dic12:17C2^2192,1319
Dic12:18C22 = SD16:13D6φ: C22/C2C2 ⊆ Out Dic12484Dic12:18C2^2192,1321
Dic12:19C22 = SD16:D6φ: C22/C2C2 ⊆ Out Dic12484Dic12:19C2^2192,1327
Dic12:20C22 = C2xC4oD24φ: trivial image96Dic12:20C2^2192,1300
Dic12:21C22 = D4.12D12φ: trivial image484+Dic12:21C2^2192,1311

Non-split extensions G=N.Q with N=Dic12 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic12.1C22 = SD16.D6φ: C22/C1C22 ⊆ Out Dic12968-Dic12.1C2^2192,1338
Dic12.2C22 = D16:3S3φ: C22/C1C22 ⊆ Out Dic12964-Dic12.2C2^2192,471
Dic12.3C22 = SD32:S3φ: C22/C1C22 ⊆ Out Dic12964-Dic12.3C2^2192,474
Dic12.4C22 = D6.2D8φ: C22/C1C22 ⊆ Out Dic12964Dic12.4C2^2192,475
Dic12.5C22 = S3xQ32φ: C22/C1C22 ⊆ Out Dic12964-Dic12.5C2^2192,476
Dic12.6C22 = Q32:S3φ: C22/C1C22 ⊆ Out Dic12964Dic12.6C2^2192,477
Dic12.7C22 = D48:7C2φ: C22/C2C2 ⊆ Out Dic12962Dic12.7C2^2192,463
Dic12.8C22 = C2xDic24φ: C22/C2C2 ⊆ Out Dic12192Dic12.8C2^2192,464
Dic12.9C22 = C16.D6φ: C22/C2C2 ⊆ Out Dic12964-Dic12.9C2^2192,468
Dic12.10C22 = D4.13D12φ: C22/C2C2 ⊆ Out Dic12964-Dic12.10C2^2192,1312
Dic12.11C22 = C24.27C23φ: C22/C2C2 ⊆ Out Dic12964Dic12.11C2^2192,738
Dic12.12C22 = C2xC3:Q32φ: C22/C2C2 ⊆ Out Dic12192Dic12.12C2^2192,739
Dic12.13C22 = Q16.D6φ: C22/C2C2 ⊆ Out Dic12964Dic12.13C2^2192,753
Dic12.14C22 = D8.9D6φ: C22/C2C2 ⊆ Out Dic12964-Dic12.14C2^2192,754
Dic12.15C22 = D12.30D4φ: C22/C2C2 ⊆ Out Dic12964Dic12.15C2^2192,1325
Dic12.16C22 = D8.10D6φ: C22/C2C2 ⊆ Out Dic12964-Dic12.16C2^2192,1330

׿
x
:
Z
F
o
wr
Q
<