Extensions 1→N→G→Q→1 with N=Dic6 and Q=D10

Direct product G=NxQ with N=Dic6 and Q=D10
dρLabelID
C2xD5xDic6240C2xD5xDic6480,1073

Semidirect products G=N:Q with N=Dic6 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic6:1D10 = C40:14D6φ: D10/C5C22 ⊆ Out Dic61204Dic6:1D10480,331
Dic6:2D10 = C40:8D6φ: D10/C5C22 ⊆ Out Dic61204Dic6:2D10480,334
Dic6:3D10 = D60.C22φ: D10/C5C22 ⊆ Out Dic61208+Dic6:3D10480,556
Dic6:4D10 = Dic10:D6φ: D10/C5C22 ⊆ Out Dic61208+Dic6:4D10480,563
Dic6:5D10 = Dic6:D10φ: D10/C5C22 ⊆ Out Dic61208+Dic6:5D10480,574
Dic6:6D10 = S3xQ8:D5φ: D10/C5C22 ⊆ Out Dic61208+Dic6:6D10480,579
Dic6:7D10 = D5xC24:C2φ: D10/D5C2 ⊆ Out Dic61204Dic6:7D10480,323
Dic6:8D10 = C24:D10φ: D10/D5C2 ⊆ Out Dic61204+Dic6:8D10480,325
Dic6:9D10 = D5xD4.S3φ: D10/D5C2 ⊆ Out Dic61208-Dic6:9D10480,559
Dic6:10D10 = D20.9D6φ: D10/D5C2 ⊆ Out Dic61208+Dic6:10D10480,567
Dic6:11D10 = D5xD4:2S3φ: D10/D5C2 ⊆ Out Dic61208-Dic6:11D10480,1098
Dic6:12D10 = D30.C23φ: D10/D5C2 ⊆ Out Dic61208+Dic6:12D10480,1100
Dic6:13D10 = D20:14D6φ: D10/D5C2 ⊆ Out Dic61208+Dic6:13D10480,1102
Dic6:14D10 = S3xQ8xD5φ: D10/D5C2 ⊆ Out Dic61208-Dic6:14D10480,1107
Dic6:15D10 = S3xQ8:2D5φ: D10/D5C2 ⊆ Out Dic61208+Dic6:15D10480,1109
Dic6:16D10 = C60.38D4φ: D10/C10C2 ⊆ Out Dic61204+Dic6:16D10480,381
Dic6:17D10 = C2xDic6:D5φ: D10/C10C2 ⊆ Out Dic6240Dic6:17D10480,393
Dic6:18D10 = C60.36D4φ: D10/C10C2 ⊆ Out Dic61204Dic6:18D10480,374
Dic6:19D10 = C2xC30.D4φ: D10/C10C2 ⊆ Out Dic6240Dic6:19D10480,382
Dic6:20D10 = C2xD20:S3φ: D10/C10C2 ⊆ Out Dic6240Dic6:20D10480,1075
Dic6:21D10 = C2xD15:Q8φ: D10/C10C2 ⊆ Out Dic6240Dic6:21D10480,1082
Dic6:22D10 = D20:24D6φ: D10/C10C2 ⊆ Out Dic61204Dic6:22D10480,1092
Dic6:23D10 = D20:25D6φ: D10/C10C2 ⊆ Out Dic61204Dic6:23D10480,1093
Dic6:24D10 = C2xC12.28D10φ: trivial image240Dic6:24D10480,1085
Dic6:25D10 = D5xC4oD12φ: trivial image1204Dic6:25D10480,1090
Dic6:26D10 = D20:29D6φ: trivial image1204+Dic6:26D10480,1095

Non-split extensions G=N.Q with N=Dic6 and Q=D10
extensionφ:Q→Out NdρLabelID
Dic6.1D10 = Dic10.D6φ: D10/C5C22 ⊆ Out Dic62404Dic6.1D10480,340
Dic6.2D10 = Dic6.D10φ: D10/C5C22 ⊆ Out Dic62404Dic6.2D10480,352
Dic6.3D10 = D40:5S3φ: D10/C5C22 ⊆ Out Dic62404Dic6.3D10480,353
Dic6.4D10 = D30.3D4φ: D10/C5C22 ⊆ Out Dic62404Dic6.4D10480,354
Dic6.5D10 = D30.4D4φ: D10/C5C22 ⊆ Out Dic62404Dic6.5D10480,356
Dic6.6D10 = C60.10C23φ: D10/C5C22 ⊆ Out Dic62408-Dic6.6D10480,562
Dic6.7D10 = D30.9D4φ: D10/C5C22 ⊆ Out Dic62408-Dic6.7D10480,564
Dic6.8D10 = D20.24D6φ: D10/C5C22 ⊆ Out Dic62408-Dic6.8D10480,569
Dic6.9D10 = C60.19C23φ: D10/C5C22 ⊆ Out Dic62408+Dic6.9D10480,571
Dic6.10D10 = D20.10D6φ: D10/C5C22 ⊆ Out Dic62408-Dic6.10D10480,573
Dic6.11D10 = S3xC5:Q16φ: D10/C5C22 ⊆ Out Dic62408-Dic6.11D10480,585
Dic6.12D10 = D15:Q16φ: D10/C5C22 ⊆ Out Dic62408-Dic6.12D10480,587
Dic6.13D10 = C60.C23φ: D10/C5C22 ⊆ Out Dic62408+Dic6.13D10480,588
Dic6.14D10 = D20.28D6φ: D10/C5C22 ⊆ Out Dic62408-Dic6.14D10480,594
Dic6.15D10 = C60.44C23φ: D10/C5C22 ⊆ Out Dic62408+Dic6.15D10480,596
Dic6.16D10 = D20.16D6φ: D10/C5C22 ⊆ Out Dic62408+Dic6.16D10480,597
Dic6.17D10 = D20.17D6φ: D10/C5C22 ⊆ Out Dic62408-Dic6.17D10480,598
Dic6.18D10 = D5xDic12φ: D10/D5C2 ⊆ Out Dic62404-Dic6.18D10480,335
Dic6.19D10 = Dic60:C2φ: D10/D5C2 ⊆ Out Dic62404-Dic6.19D10480,336
Dic6.20D10 = C24.2D10φ: D10/D5C2 ⊆ Out Dic62404Dic6.20D10480,337
Dic6.21D10 = C40.31D6φ: D10/D5C2 ⊆ Out Dic62404Dic6.21D10480,345
Dic6.22D10 = D120:C2φ: D10/D5C2 ⊆ Out Dic62404+Dic6.22D10480,347
Dic6.23D10 = C60.8C23φ: D10/D5C2 ⊆ Out Dic62408-Dic6.23D10480,560
Dic6.24D10 = C60.16C23φ: D10/D5C2 ⊆ Out Dic62408+Dic6.24D10480,568
Dic6.25D10 = D5xC3:Q16φ: D10/D5C2 ⊆ Out Dic62408-Dic6.25D10480,583
Dic6.26D10 = D20.13D6φ: D10/D5C2 ⊆ Out Dic62408-Dic6.26D10480,584
Dic6.27D10 = C60.39C23φ: D10/D5C2 ⊆ Out Dic62408+Dic6.27D10480,591
Dic6.28D10 = D20.D6φ: D10/D5C2 ⊆ Out Dic62408+Dic6.28D10480,592
Dic6.29D10 = C15:2- 1+4φ: D10/D5C2 ⊆ Out Dic62408-Dic6.29D10480,1096
Dic6.30D10 = D20.29D6φ: D10/D5C2 ⊆ Out Dic62408-Dic6.30D10480,1104
Dic6.31D10 = C30.33C24φ: D10/D5C2 ⊆ Out Dic62408+Dic6.31D10480,1105
Dic6.32D10 = C20.60D12φ: D10/C10C2 ⊆ Out Dic62404Dic6.32D10480,379
Dic6.33D10 = C2xC5:Dic12φ: D10/C10C2 ⊆ Out Dic6480Dic6.33D10480,396
Dic6.34D10 = C20.D12φ: D10/C10C2 ⊆ Out Dic62404Dic6.34D10480,397
Dic6.35D10 = D12.33D10φ: D10/C10C2 ⊆ Out Dic62404-Dic6.35D10480,398
Dic6.36D10 = D20.34D6φ: D10/C10C2 ⊆ Out Dic62404Dic6.36D10480,373
Dic6.37D10 = D20.37D6φ: D10/C10C2 ⊆ Out Dic62404Dic6.37D10480,383
Dic6.38D10 = D12.37D10φ: D10/C10C2 ⊆ Out Dic62404Dic6.38D10480,385
Dic6.39D10 = C2xC15:Q16φ: D10/C10C2 ⊆ Out Dic6480Dic6.39D10480,394
Dic6.40D10 = C30.C24φ: D10/C10C2 ⊆ Out Dic62404Dic6.40D10480,1080
Dic6.41D10 = D20.38D6φ: trivial image2404Dic6.41D10480,1076
Dic6.42D10 = D20.39D6φ: trivial image2404-Dic6.42D10480,1077

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