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Extensions 1→N→G→Q→1 with N=Dic6 and Q=D4

Direct product G=N×Q with N=Dic6 and Q=D4
dρLabelID
D4×Dic696D4xDic6192,1096

Semidirect products G=N:Q with N=Dic6 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic6⋊1D4 = D12⋊1D4φ: D4/C2 → C22 ⊆ Out Dic6248+Dic6:1D4192,306
Dic6⋊2D4 = Dic6⋊2D4φ: D4/C2 → C22 ⊆ Out Dic696Dic6:2D4192,321
Dic6⋊3D4 = D4⋊3D12φ: D4/C2 → C22 ⊆ Out Dic696Dic6:3D4192,340
Dic6⋊4D4 = Q8⋊3D12φ: D4/C2 → C22 ⊆ Out Dic696Dic6:4D4192,365
Dic6⋊5D4 = C42⋊8D6φ: D4/C2 → C22 ⊆ Out Dic6244Dic6:5D4192,636
Dic6⋊6D4 = Dic6⋊D4φ: D4/C2 → C22 ⊆ Out Dic696Dic6:6D4192,717
Dic6⋊7D4 = D6⋊8SD16φ: D4/C2 → C22 ⊆ Out Dic696Dic6:7D4192,729
Dic6⋊8D4 = Dic6⋊8D4φ: D4/C4 → C2 ⊆ Out Dic696Dic6:8D4192,407
Dic6⋊9D4 = Dic6⋊9D4φ: D4/C4 → C2 ⊆ Out Dic696Dic6:9D4192,634
Dic6⋊10D4 = Dic6⋊10D4φ: D4/C4 → C2 ⊆ Out Dic696Dic6:10D4192,1236
Dic6⋊11D4 = Dic6⋊11D4φ: D4/C4 → C2 ⊆ Out Dic696Dic6:11D4192,1277
Dic6⋊12D4 = D12⋊8Q8φ: D4/C4 → C2 ⊆ Out Dic696Dic6:12D4192,1286
Dic6⋊13D4 = D12⋊14D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:13D4192,293
Dic6⋊14D4 = Dic6⋊14D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:14D4192,297
Dic6⋊15D4 = Q8⋊5D12φ: D4/C22 → C2 ⊆ Out Dic6244+Dic6:15D4192,381
Dic6⋊16D4 = D12⋊17D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:16D4192,596
Dic6⋊17D4 = Dic6⋊17D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:17D4192,599
Dic6⋊18D4 = D12⋊18D4φ: D4/C22 → C2 ⊆ Out Dic6248+Dic6:18D4192,757
Dic6⋊19D4 = Dic6⋊19D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:19D4192,1157
Dic6⋊20D4 = Dic6⋊20D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:20D4192,1158
Dic6⋊21D4 = Dic6⋊21D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:21D4192,1191
Dic6⋊22D4 = Dic6⋊22D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6:22D4192,1192
Dic6⋊23D4 = Dic6⋊23D4φ: trivial image96Dic6:23D4192,1111
Dic6⋊24D4 = Dic6⋊24D4φ: trivial image96Dic6:24D4192,1112

Non-split extensions G=N.Q with N=Dic6 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic6.1D4 = M4(2)⋊D6φ: D4/C2 → C22 ⊆ Out Dic6488-Dic6.1D4192,305
Dic6.2D4 = D12.2D4φ: D4/C2 → C22 ⊆ Out Dic6488-Dic6.2D4192,307
Dic6.3D4 = D12.3D4φ: D4/C2 → C22 ⊆ Out Dic6488+Dic6.3D4192,308
Dic6.4D4 = D12.4D4φ: D4/C2 → C22 ⊆ Out Dic6488-Dic6.4D4192,311
Dic6.5D4 = D12.5D4φ: D4/C2 → C22 ⊆ Out Dic6488+Dic6.5D4192,312
Dic6.6D4 = D12.6D4φ: D4/C2 → C22 ⊆ Out Dic6488+Dic6.6D4192,313
Dic6.7D4 = D12.7D4φ: D4/C2 → C22 ⊆ Out Dic6968-Dic6.7D4192,314
Dic6.8D4 = Dic6.D4φ: D4/C2 → C22 ⊆ Out Dic696Dic6.8D4192,326
Dic6.9D4 = D4.D12φ: D4/C2 → C22 ⊆ Out Dic696Dic6.9D4192,342
Dic6.10D4 = Dic3⋊Q16φ: D4/C2 → C22 ⊆ Out Dic6192Dic6.10D4192,354
Dic6.11D4 = Dic6.11D4φ: D4/C2 → C22 ⊆ Out Dic696Dic6.11D4192,357
Dic6.12D4 = D6⋊Q16φ: D4/C2 → C22 ⊆ Out Dic696Dic6.12D4192,368
Dic6.13D4 = C42⋊7D6φ: D4/C2 → C22 ⊆ Out Dic6484Dic6.13D4192,620
Dic6.14D4 = D12.14D4φ: D4/C2 → C22 ⊆ Out Dic6484Dic6.14D4192,621
Dic6.15D4 = D12.15D4φ: D4/C2 → C22 ⊆ Out Dic6484Dic6.15D4192,654
Dic6.16D4 = Dic6.16D4φ: D4/C2 → C22 ⊆ Out Dic696Dic6.16D4192,732
Dic6.17D4 = D6⋊5Q16φ: D4/C2 → C22 ⊆ Out Dic696Dic6.17D4192,745
Dic6.18D4 = C42.36D6φ: D4/C4 → C2 ⊆ Out Dic696Dic6.18D4192,404
Dic6.19D4 = C4⋊Dic12φ: D4/C4 → C2 ⊆ Out Dic6192Dic6.19D4192,408
Dic6.20D4 = C24.18D4φ: D4/C4 → C2 ⊆ Out Dic6964-Dic6.20D4192,455
Dic6.21D4 = C24.19D4φ: D4/C4 → C2 ⊆ Out Dic6484+Dic6.21D4192,456
Dic6.22D4 = C8.24D12φ: D4/C4 → C2 ⊆ Out Dic6484Dic6.22D4192,457
Dic6.23D4 = C42.61D6φ: D4/C4 → C2 ⊆ Out Dic696Dic6.23D4192,613
Dic6.24D4 = C12⋊Q16φ: D4/C4 → C2 ⊆ Out Dic6192Dic6.24D4192,649
Dic6.25D4 = C24.23D4φ: D4/C4 → C2 ⊆ Out Dic6484Dic6.25D4192,719
Dic6.26D4 = C24.44D4φ: D4/C4 → C2 ⊆ Out Dic6484Dic6.26D4192,736
Dic6.27D4 = C24.29D4φ: D4/C4 → C2 ⊆ Out Dic6964Dic6.27D4192,751
Dic6.28D4 = D8⋊13D6φ: D4/C4 → C2 ⊆ Out Dic6484Dic6.28D4192,1316
Dic6.29D4 = SD16⋊13D6φ: D4/C4 → C2 ⊆ Out Dic6484Dic6.29D4192,1321
Dic6.30D4 = D12.30D4φ: D4/C4 → C2 ⊆ Out Dic6964Dic6.30D4192,1325
Dic6.31D4 = D12.32D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6.31D4192,292
Dic6.32D4 = Dic6.32D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6.32D4192,298
Dic6.33D4 = C42⋊5D6φ: D4/C22 → C2 ⊆ Out Dic6484Dic6.33D4192,384
Dic6.34D4 = Q8.14D12φ: D4/C22 → C2 ⊆ Out Dic6484-Dic6.34D4192,385
Dic6.35D4 = D12.35D4φ: D4/C22 → C2 ⊆ Out Dic6484Dic6.35D4192,386
Dic6.36D4 = D12.37D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6.36D4192,606
Dic6.37D4 = Dic6.37D4φ: D4/C22 → C2 ⊆ Out Dic696Dic6.37D4192,609
Dic6.38D4 = D12.38D4φ: D4/C22 → C2 ⊆ Out Dic6488-Dic6.38D4192,760
Dic6.39D4 = D12.39D4φ: D4/C22 → C2 ⊆ Out Dic6488+Dic6.39D4192,761
Dic6.40D4 = D12.40D4φ: D4/C22 → C2 ⊆ Out Dic6488-Dic6.40D4192,764
Dic6.41D4 = D8⋊5D6φ: D4/C22 → C2 ⊆ Out Dic6488+Dic6.41D4192,1333
Dic6.42D4 = D8⋊6D6φ: D4/C22 → C2 ⊆ Out Dic6488-Dic6.42D4192,1334
Dic6.43D4 = C24.C23φ: D4/C22 → C2 ⊆ Out Dic6488+Dic6.43D4192,1337
Dic6.44D4 = SD16.D6φ: D4/C22 → C2 ⊆ Out Dic6968-Dic6.44D4192,1338
Dic6.45D4 = D8⋊15D6φ: trivial image484+Dic6.45D4192,1328
Dic6.46D4 = D8⋊11D6φ: trivial image484Dic6.46D4192,1329
Dic6.47D4 = D8.10D6φ: trivial image964-Dic6.47D4192,1330

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