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

Direct product G=N×Q with N=Dic3⋊Q8 and Q=C2
dρLabelID
C2×Dic3⋊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/C1 → C2 ⊆ Out Dic3⋊Q8488-Dic3:Q8:1C2192,311
Dic3⋊Q8⋊2C2 = Dic3⋊SD16φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:2C2192,377
Dic3⋊Q8⋊3C2 = Dic3⋊3SD16φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:3C2192,721
Dic3⋊Q8⋊4C2 = C24.31D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:4C2192,726
Dic3⋊Q8⋊5C2 = C24⋊15D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:5C2192,734
Dic3⋊Q8⋊6C2 = C24.37D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:6C2192,749
Dic3⋊Q8⋊7C2 = D12.40D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8488-Dic3:Q8:7C2192,764
Dic3⋊Q8⋊8C2 = 2- 1+4.2S3φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8488-Dic3:Q8:8C2192,805
Dic3⋊Q8⋊9C2 = C42.122D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:9C2192,1127
Dic3⋊Q8⋊10C2 = C42.134D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:10C2192,1142
Dic3⋊Q8⋊11C2 = (Q8×Dic3)⋊C2φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:11C2192,1181
Dic3⋊Q8⋊12C2 = C6.752- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:12C2192,1182
Dic3⋊Q8⋊13C2 = C6.152- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:13C2192,1184
Dic3⋊Q8⋊14C2 = D12⋊22D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:14C2192,1190
Dic3⋊Q8⋊15C2 = Dic6⋊21D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:15C2192,1191
Dic3⋊Q8⋊16C2 = C6.522+ 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:16C2192,1195
Dic3⋊Q8⋊17C2 = C6.222- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:17C2192,1199
Dic3⋊Q8⋊18C2 = C6.252- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:18C2192,1205
Dic3⋊Q8⋊19C2 = C42.233D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:19C2192,1227
Dic3⋊Q8⋊20C2 = C42.137D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:20C2192,1228
Dic3⋊Q8⋊21C2 = C42.138D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:21C2192,1229
Dic3⋊Q8⋊22C2 = C42.139D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:22C2192,1230
Dic3⋊Q8⋊23C2 = C42.140D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:23C2192,1231
Dic3⋊Q8⋊24C2 = C42.141D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:24C2192,1234
Dic3⋊Q8⋊25C2 = S3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:25C2192,1282
Dic3⋊Q8⋊26C2 = C42.171D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:26C2192,1283
Dic3⋊Q8⋊27C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:27C2192,1288
Dic3⋊Q8⋊28C2 = C42.180D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:28C2192,1294
Dic3⋊Q8⋊29C2 = Q8×C3⋊D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:29C2192,1374
Dic3⋊Q8⋊30C2 = C6.442- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:30C2192,1375
Dic3⋊Q8⋊31C2 = C6.1042- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:31C2192,1383
Dic3⋊Q8⋊32C2 = C6.1052- 1+4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q896Dic3:Q8:32C2192,1384
Dic3⋊Q8⋊33C2 = C42.232D6φ: trivial image96Dic3:Q8:33C2192,1137
Dic3⋊Q8⋊34C2 = (C2×C12)⋊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 = (C2×C12).D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8488-Dic3:Q8.1C2192,37
Dic3⋊Q8.2C2 = Dic3.1Q16φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.2C2192,351
Dic3⋊Q8.3C2 = Dic3⋊Q16φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.3C2192,354
Dic3⋊Q8.4C2 = (C2×Q8).36D6φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.4C2192,356
Dic3⋊Q8.5C2 = Dic3⋊3Q16φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.5C2192,741
Dic3⋊Q8.6C2 = C24.26D4φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.6C2192,742
Dic3⋊Q8.7C2 = Dic6⋊10Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.7C2192,1126
Dic3⋊Q8.8C2 = Dic6⋊8Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.8C2192,1280
Dic3⋊Q8.9C2 = Dic6⋊9Q8φ: C2/C1 → C2 ⊆ Out Dic3⋊Q8192Dic3:Q8.9C2192,1281

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