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Extensions 1→N→G→Q→1 with N=Dic14 and Q=D4

Direct product G=N×Q with N=Dic14 and Q=D4
dρLabelID
D4×Dic14224D4xDic14448,990

Semidirect products G=N:Q with N=Dic14 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic14⋊1D4 = D28⋊1D4φ: D4/C2 → C22 ⊆ Out Dic14568+Dic14:1D4448,281
Dic14⋊2D4 = Dic14⋊2D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14:2D4448,296
Dic14⋊3D4 = D4⋊3D28φ: D4/C2 → C22 ⊆ Out Dic14224Dic14:3D4448,315
Dic14⋊4D4 = Q8⋊2D28φ: D4/C2 → C22 ⊆ Out Dic14224Dic14:4D4448,340
Dic14⋊5D4 = D28⋊5D4φ: D4/C2 → C22 ⊆ Out Dic14564Dic14:5D4448,611
Dic14⋊6D4 = Dic14⋊D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14:6D4448,692
Dic14⋊7D4 = Dic14⋊7D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14:7D4448,704
Dic14⋊8D4 = Dic14⋊8D4φ: D4/C4 → C2 ⊆ Out Dic14224Dic14:8D4448,382
Dic14⋊9D4 = Dic14⋊9D4φ: D4/C4 → C2 ⊆ Out Dic14224Dic14:9D4448,609
Dic14⋊10D4 = Dic14⋊10D4φ: D4/C4 → C2 ⊆ Out Dic14224Dic14:10D4448,1130
Dic14⋊11D4 = Dic14⋊11D4φ: D4/C4 → C2 ⊆ Out Dic14224Dic14:11D4448,1171
Dic14⋊12D4 = D28⋊8Q8φ: D4/C4 → C2 ⊆ Out Dic14224Dic14:12D4448,1180
Dic14⋊13D4 = D28⋊14D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:13D4448,268
Dic14⋊14D4 = Dic14⋊14D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:14D4448,272
Dic14⋊15D4 = D4⋊4D28φ: D4/C22 → C2 ⊆ Out Dic14564+Dic14:15D4448,356
Dic14⋊16D4 = D28⋊17D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:16D4448,571
Dic14⋊17D4 = Dic14⋊17D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:17D4448,574
Dic14⋊18D4 = D28⋊18D4φ: D4/C22 → C2 ⊆ Out Dic14568+Dic14:18D4448,732
Dic14⋊19D4 = Dic14⋊19D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:19D4448,1051
Dic14⋊20D4 = Dic14⋊20D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:20D4448,1052
Dic14⋊21D4 = Dic14⋊21D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:21D4448,1085
Dic14⋊22D4 = Dic14⋊22D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14:22D4448,1086
Dic14⋊23D4 = Dic14⋊23D4φ: trivial image224Dic14:23D4448,1005
Dic14⋊24D4 = Dic14⋊24D4φ: trivial image224Dic14:24D4448,1006

Non-split extensions G=N.Q with N=Dic14 and Q=D4
extensionφ:Q→Out NdρLabelID
Dic14.1D4 = D28.1D4φ: D4/C2 → C22 ⊆ Out Dic141128-Dic14.1D4448,280
Dic14.2D4 = D28.2D4φ: D4/C2 → C22 ⊆ Out Dic141128-Dic14.2D4448,282
Dic14.3D4 = D28.3D4φ: D4/C2 → C22 ⊆ Out Dic141128+Dic14.3D4448,283
Dic14.4D4 = D28.4D4φ: D4/C2 → C22 ⊆ Out Dic141128-Dic14.4D4448,286
Dic14.5D4 = D28.5D4φ: D4/C2 → C22 ⊆ Out Dic141128+Dic14.5D4448,287
Dic14.6D4 = D28.6D4φ: D4/C2 → C22 ⊆ Out Dic141128+Dic14.6D4448,288
Dic14.7D4 = D28.7D4φ: D4/C2 → C22 ⊆ Out Dic142248-Dic14.7D4448,289
Dic14.8D4 = Dic14.D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.8D4448,301
Dic14.9D4 = D4.D28φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.9D4448,317
Dic14.10D4 = Dic7⋊Q16φ: D4/C2 → C22 ⊆ Out Dic14448Dic14.10D4448,327
Dic14.11D4 = Dic14.11D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.11D4448,332
Dic14.12D4 = D14⋊4Q16φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.12D4448,342
Dic14.13D4 = C42⋊5D14φ: D4/C2 → C22 ⊆ Out Dic141124Dic14.13D4448,595
Dic14.14D4 = D28.14D4φ: D4/C2 → C22 ⊆ Out Dic141124Dic14.14D4448,596
Dic14.15D4 = D28.15D4φ: D4/C2 → C22 ⊆ Out Dic141124Dic14.15D4448,629
Dic14.16D4 = Dic14.16D4φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.16D4448,707
Dic14.17D4 = D14⋊5Q16φ: D4/C2 → C22 ⊆ Out Dic14224Dic14.17D4448,720
Dic14.18D4 = C42.36D14φ: D4/C4 → C2 ⊆ Out Dic14224Dic14.18D4448,379
Dic14.19D4 = C4⋊Dic28φ: D4/C4 → C2 ⊆ Out Dic14448Dic14.19D4448,383
Dic14.20D4 = C8.20D28φ: D4/C4 → C2 ⊆ Out Dic142244-Dic14.20D4448,430
Dic14.21D4 = C8.21D28φ: D4/C4 → C2 ⊆ Out Dic141124+Dic14.21D4448,431
Dic14.22D4 = C8.24D28φ: D4/C4 → C2 ⊆ Out Dic141124Dic14.22D4448,432
Dic14.23D4 = C42.61D14φ: D4/C4 → C2 ⊆ Out Dic14224Dic14.23D4448,588
Dic14.24D4 = C28⋊Q16φ: D4/C4 → C2 ⊆ Out Dic14448Dic14.24D4448,624
Dic14.25D4 = C56.23D4φ: D4/C4 → C2 ⊆ Out Dic141124Dic14.25D4448,694
Dic14.26D4 = C56.44D4φ: D4/C4 → C2 ⊆ Out Dic141124Dic14.26D4448,711
Dic14.27D4 = C56.29D4φ: D4/C4 → C2 ⊆ Out Dic142244Dic14.27D4448,726
Dic14.28D4 = D8⋊13D14φ: D4/C4 → C2 ⊆ Out Dic141124Dic14.28D4448,1210
Dic14.29D4 = D28.29D4φ: D4/C4 → C2 ⊆ Out Dic141124Dic14.29D4448,1215
Dic14.30D4 = D28.30D4φ: D4/C4 → C2 ⊆ Out Dic142244Dic14.30D4448,1219
Dic14.31D4 = D28.32D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14.31D4448,267
Dic14.32D4 = C22⋊Dic28φ: D4/C22 → C2 ⊆ Out Dic14224Dic14.32D4448,273
Dic14.33D4 = M4(2)⋊D14φ: D4/C22 → C2 ⊆ Out Dic141124Dic14.33D4448,359
Dic14.34D4 = D4.9D28φ: D4/C22 → C2 ⊆ Out Dic141124-Dic14.34D4448,360
Dic14.35D4 = D4.10D28φ: D4/C22 → C2 ⊆ Out Dic141124Dic14.35D4448,361
Dic14.36D4 = D28.37D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14.36D4448,581
Dic14.37D4 = Dic14.37D4φ: D4/C22 → C2 ⊆ Out Dic14224Dic14.37D4448,584
Dic14.38D4 = D28.38D4φ: D4/C22 → C2 ⊆ Out Dic141128-Dic14.38D4448,735
Dic14.39D4 = D28.39D4φ: D4/C22 → C2 ⊆ Out Dic141128+Dic14.39D4448,736
Dic14.40D4 = D28.40D4φ: D4/C22 → C2 ⊆ Out Dic141128-Dic14.40D4448,739
Dic14.41D4 = D8⋊5D14φ: D4/C22 → C2 ⊆ Out Dic141128+Dic14.41D4448,1227
Dic14.42D4 = D8⋊6D14φ: D4/C22 → C2 ⊆ Out Dic141128-Dic14.42D4448,1228
Dic14.43D4 = C56.C23φ: D4/C22 → C2 ⊆ Out Dic141128+Dic14.43D4448,1231
Dic14.44D4 = D28.44D4φ: D4/C22 → C2 ⊆ Out Dic142248-Dic14.44D4448,1232
Dic14.45D4 = D8⋊15D14φ: trivial image1124+Dic14.45D4448,1222
Dic14.46D4 = D8⋊11D14φ: trivial image1124Dic14.46D4448,1223
Dic14.47D4 = D8.10D14φ: trivial image2244-Dic14.47D4448,1224

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