Extensions 1→N→G→Q→1 with N=Dic3:Q8 and Q=C2

Direct product G=NxQ with N=Dic3:Q8 and Q=C2
dρLabelID
C2xDic3:Q8192C2xDic3:Q8192,1369

Semidirect products G=N:Q with N=Dic3:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3:Q8:1C2 = D12.4D4φ: C2/C1C2 ⊆ Out Dic3:Q8488-Dic3:Q8:1C2192,311
Dic3:Q8:2C2 = Dic3:SD16φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:2C2192,377
Dic3:Q8:3C2 = Dic3:3SD16φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:3C2192,721
Dic3:Q8:4C2 = C24.31D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:4C2192,726
Dic3:Q8:5C2 = C24:15D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:5C2192,734
Dic3:Q8:6C2 = C24.37D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:6C2192,749
Dic3:Q8:7C2 = D12.40D4φ: C2/C1C2 ⊆ Out Dic3:Q8488-Dic3:Q8:7C2192,764
Dic3:Q8:8C2 = 2- 1+4.2S3φ: C2/C1C2 ⊆ Out Dic3:Q8488-Dic3:Q8:8C2192,805
Dic3:Q8:9C2 = C42.122D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:9C2192,1127
Dic3:Q8:10C2 = C42.134D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:10C2192,1142
Dic3:Q8:11C2 = (Q8xDic3):C2φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:11C2192,1181
Dic3:Q8:12C2 = C6.752- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:12C2192,1182
Dic3:Q8:13C2 = C6.152- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:13C2192,1184
Dic3:Q8:14C2 = D12:22D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:14C2192,1190
Dic3:Q8:15C2 = Dic6:21D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:15C2192,1191
Dic3:Q8:16C2 = C6.522+ 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:16C2192,1195
Dic3:Q8:17C2 = C6.222- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:17C2192,1199
Dic3:Q8:18C2 = C6.252- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:18C2192,1205
Dic3:Q8:19C2 = C42.233D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:19C2192,1227
Dic3:Q8:20C2 = C42.137D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:20C2192,1228
Dic3:Q8:21C2 = C42.138D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:21C2192,1229
Dic3:Q8:22C2 = C42.139D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:22C2192,1230
Dic3:Q8:23C2 = C42.140D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:23C2192,1231
Dic3:Q8:24C2 = C42.141D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:24C2192,1234
Dic3:Q8:25C2 = S3xC4:Q8φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:25C2192,1282
Dic3:Q8:26C2 = C42.171D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:26C2192,1283
Dic3:Q8:27C2 = C42.174D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:27C2192,1288
Dic3:Q8:28C2 = C42.180D6φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:28C2192,1294
Dic3:Q8:29C2 = Q8xC3:D4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:29C2192,1374
Dic3:Q8:30C2 = C6.442- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:30C2192,1375
Dic3:Q8:31C2 = C6.1042- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:31C2192,1383
Dic3:Q8:32C2 = C6.1052- 1+4φ: C2/C1C2 ⊆ Out Dic3:Q896Dic3:Q8:32C2192,1384
Dic3:Q8:33C2 = C42.232D6φ: trivial image96Dic3:Q8:33C2192,1137
Dic3:Q8:34C2 = (C2xC12):17D4φ: trivial image96Dic3:Q8:34C2192,1391

Non-split extensions G=N.Q with N=Dic3:Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Dic3:Q8.1C2 = (C2xC12).D4φ: C2/C1C2 ⊆ Out Dic3:Q8488-Dic3:Q8.1C2192,37
Dic3:Q8.2C2 = Dic3.1Q16φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.2C2192,351
Dic3:Q8.3C2 = Dic3:Q16φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.3C2192,354
Dic3:Q8.4C2 = (C2xQ8).36D6φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.4C2192,356
Dic3:Q8.5C2 = Dic3:3Q16φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.5C2192,741
Dic3:Q8.6C2 = C24.26D4φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.6C2192,742
Dic3:Q8.7C2 = Dic6:10Q8φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.7C2192,1126
Dic3:Q8.8C2 = Dic6:8Q8φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.8C2192,1280
Dic3:Q8.9C2 = Dic6:9Q8φ: C2/C1C2 ⊆ Out Dic3:Q8192Dic3:Q8.9C2192,1281

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