Extensions 1→N→G→Q→1 with N=Dic30 and Q=C22

Direct product G=NxQ with N=Dic30 and Q=C22
dρLabelID
C22xDic30480C2^2xDic30480,1165

Semidirect products G=N:Q with N=Dic30 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic30:1C22 = D30.8D4φ: C22/C1C22 ⊆ Out Dic301208-Dic30:1C2^2480,558
Dic30:2C22 = D5xD4.S3φ: C22/C1C22 ⊆ Out Dic301208-Dic30:2C2^2480,559
Dic30:3C22 = S3xD4.D5φ: C22/C1C22 ⊆ Out Dic301208-Dic30:3C2^2480,561
Dic30:4C22 = D12:10D10φ: C22/C1C22 ⊆ Out Dic301208-Dic30:4C2^2480,565
Dic30:5C22 = D20:10D6φ: C22/C1C22 ⊆ Out Dic301208-Dic30:5C2^2480,570
Dic30:6C22 = D15:SD16φ: C22/C1C22 ⊆ Out Dic301208-Dic30:6C2^2480,581
Dic30:7C22 = D5xD4:2S3φ: C22/C1C22 ⊆ Out Dic301208-Dic30:7C2^2480,1098
Dic30:8C22 = S3xD4:2D5φ: C22/C1C22 ⊆ Out Dic301208-Dic30:8C2^2480,1099
Dic30:9C22 = D20:13D6φ: C22/C1C22 ⊆ Out Dic301208-Dic30:9C2^2480,1101
Dic30:10C22 = S3xQ8xD5φ: C22/C1C22 ⊆ Out Dic301208-Dic30:10C2^2480,1107
Dic30:11C22 = D20:16D6φ: C22/C1C22 ⊆ Out Dic301208-Dic30:11C2^2480,1110
Dic30:12C22 = D8:D15φ: C22/C1C22 ⊆ Out Dic301204Dic30:12C2^2480,876
Dic30:13C22 = SD16xD15φ: C22/C1C22 ⊆ Out Dic301204Dic30:13C2^2480,878
Dic30:14C22 = S3xC40:C2φ: C22/C1C22 ⊆ Out Dic301204Dic30:14C2^2480,327
Dic30:15C22 = D40:S3φ: C22/C1C22 ⊆ Out Dic301204Dic30:15C2^2480,330
Dic30:16C22 = D5xC24:C2φ: C22/C1C22 ⊆ Out Dic301204Dic30:16C2^2480,323
Dic30:17C22 = D24:D5φ: C22/C1C22 ⊆ Out Dic301204Dic30:17C2^2480,326
Dic30:18C22 = C2xC24:D5φ: C22/C2C2 ⊆ Out Dic30240Dic30:18C2^2480,867
Dic30:19C22 = C8:D30φ: C22/C2C2 ⊆ Out Dic301204+Dic30:19C2^2480,873
Dic30:20C22 = D4.D30φ: C22/C2C2 ⊆ Out Dic301204Dic30:20C2^2480,897
Dic30:21C22 = C2xD4.D15φ: C22/C2C2 ⊆ Out Dic30240Dic30:21C2^2480,898
Dic30:22C22 = C2xD4:2D15φ: C22/C2C2 ⊆ Out Dic30240Dic30:22C2^2480,1170
Dic30:23C22 = D4:6D30φ: C22/C2C2 ⊆ Out Dic301204Dic30:23C2^2480,1171
Dic30:24C22 = C2xQ8xD15φ: C22/C2C2 ⊆ Out Dic30240Dic30:24C2^2480,1172
Dic30:25C22 = C4oD4xD15φ: C22/C2C2 ⊆ Out Dic301204Dic30:25C2^2480,1175
Dic30:26C22 = C2xC6.D20φ: C22/C2C2 ⊆ Out Dic30240Dic30:26C2^2480,386
Dic30:27C22 = D60:30C22φ: C22/C2C2 ⊆ Out Dic301204Dic30:27C2^2480,388
Dic30:28C22 = C2xD20:5S3φ: C22/C2C2 ⊆ Out Dic30240Dic30:28C2^2480,1074
Dic30:29C22 = C2xS3xDic10φ: C22/C2C2 ⊆ Out Dic30240Dic30:29C2^2480,1078
Dic30:30C22 = S3xC4oD20φ: C22/C2C2 ⊆ Out Dic301204Dic30:30C2^2480,1091
Dic30:31C22 = D20:25D6φ: C22/C2C2 ⊆ Out Dic301204Dic30:31C2^2480,1093
Dic30:32C22 = D60:36C22φ: C22/C2C2 ⊆ Out Dic301204Dic30:32C2^2480,380
Dic30:33C22 = C2xD12.D5φ: C22/C2C2 ⊆ Out Dic30240Dic30:33C2^2480,392
Dic30:34C22 = C2xD5xDic6φ: C22/C2C2 ⊆ Out Dic30240Dic30:34C2^2480,1073
Dic30:35C22 = C2xD12:5D5φ: C22/C2C2 ⊆ Out Dic30240Dic30:35C2^2480,1084
Dic30:36C22 = D5xC4oD12φ: C22/C2C2 ⊆ Out Dic301204Dic30:36C2^2480,1090
Dic30:37C22 = D20:26D6φ: C22/C2C2 ⊆ Out Dic301204Dic30:37C2^2480,1094
Dic30:38C22 = C2xD60:11C2φ: trivial image240Dic30:38C2^2480,1168
Dic30:39C22 = D4:8D30φ: trivial image1204+Dic30:39C2^2480,1176

Non-split extensions G=N.Q with N=Dic30 and Q=C22
extensionφ:Q→Out NdρLabelID
Dic30.1C22 = C60.8C23φ: C22/C1C22 ⊆ Out Dic302408-Dic30.1C2^2480,560
Dic30.2C22 = C60.10C23φ: C22/C1C22 ⊆ Out Dic302408-Dic30.2C2^2480,562
Dic30.3C22 = D30.9D4φ: C22/C1C22 ⊆ Out Dic302408-Dic30.3C2^2480,564
Dic30.4C22 = D12.24D10φ: C22/C1C22 ⊆ Out Dic302408-Dic30.4C2^2480,566
Dic30.5C22 = D20.24D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.5C2^2480,569
Dic30.6C22 = D20.10D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.6C2^2480,573
Dic30.7C22 = D30.11D4φ: C22/C1C22 ⊆ Out Dic302408-Dic30.7C2^2480,575
Dic30.8C22 = D5xC3:Q16φ: C22/C1C22 ⊆ Out Dic302408-Dic30.8C2^2480,583
Dic30.9C22 = D20.13D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.9C2^2480,584
Dic30.10C22 = S3xC5:Q16φ: C22/C1C22 ⊆ Out Dic302408-Dic30.10C2^2480,585
Dic30.11C22 = Dic10.26D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.11C2^2480,586
Dic30.12C22 = D15:Q16φ: C22/C1C22 ⊆ Out Dic302408-Dic30.12C2^2480,587
Dic30.13C22 = D12.27D10φ: C22/C1C22 ⊆ Out Dic302408-Dic30.13C2^2480,589
Dic30.14C22 = D20.14D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.14C2^2480,590
Dic30.15C22 = D20.27D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.15C2^2480,593
Dic30.16C22 = D20.28D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.16C2^2480,594
Dic30.17C22 = D20.17D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.17C2^2480,598
Dic30.18C22 = D30.44D4φ: C22/C1C22 ⊆ Out Dic302408-Dic30.18C2^2480,600
Dic30.19C22 = C15:2- 1+4φ: C22/C1C22 ⊆ Out Dic302408-Dic30.19C2^2480,1096
Dic30.20C22 = D20.29D6φ: C22/C1C22 ⊆ Out Dic302408-Dic30.20C2^2480,1104
Dic30.21C22 = D12.29D10φ: C22/C1C22 ⊆ Out Dic302408-Dic30.21C2^2480,1106
Dic30.22C22 = D8:3D15φ: C22/C1C22 ⊆ Out Dic302404-Dic30.22C2^2480,877
Dic30.23C22 = SD16:D15φ: C22/C1C22 ⊆ Out Dic302404-Dic30.23C2^2480,880
Dic30.24C22 = D4.5D30φ: C22/C1C22 ⊆ Out Dic302404Dic30.24C2^2480,881
Dic30.25C22 = Q16xD15φ: C22/C1C22 ⊆ Out Dic302404-Dic30.25C2^2480,882
Dic30.26C22 = Q16:D15φ: C22/C1C22 ⊆ Out Dic302404Dic30.26C2^2480,883
Dic30.27C22 = S3xDic20φ: C22/C1C22 ⊆ Out Dic302404-Dic30.27C2^2480,338
Dic30.28C22 = Dic20:S3φ: C22/C1C22 ⊆ Out Dic302404Dic30.28C2^2480,339
Dic30.29C22 = D6.1D20φ: C22/C1C22 ⊆ Out Dic302404Dic30.29C2^2480,348
Dic30.30C22 = D40:7S3φ: C22/C1C22 ⊆ Out Dic302404-Dic30.30C2^2480,349
Dic30.31C22 = C40.2D6φ: C22/C1C22 ⊆ Out Dic302404-Dic30.31C2^2480,350
Dic30.32C22 = D5xDic12φ: C22/C1C22 ⊆ Out Dic302404-Dic30.32C2^2480,335
Dic30.33C22 = Dic60:C2φ: C22/C1C22 ⊆ Out Dic302404-Dic30.33C2^2480,336
Dic30.34C22 = C24.2D10φ: C22/C1C22 ⊆ Out Dic302404Dic30.34C2^2480,337
Dic30.35C22 = C40.31D6φ: C22/C1C22 ⊆ Out Dic302404Dic30.35C2^2480,345
Dic30.36C22 = D24:7D5φ: C22/C1C22 ⊆ Out Dic302404-Dic30.36C2^2480,346
Dic30.37C22 = C40.69D6φ: C22/C2C2 ⊆ Out Dic302402Dic30.37C2^2480,869
Dic30.38C22 = C2xDic60φ: C22/C2C2 ⊆ Out Dic30480Dic30.38C2^2480,870
Dic30.39C22 = C8.D30φ: C22/C2C2 ⊆ Out Dic302404-Dic30.39C2^2480,874
Dic30.40C22 = Q8.11D30φ: C22/C2C2 ⊆ Out Dic302404Dic30.40C2^2480,907
Dic30.41C22 = C2xC15:7Q16φ: C22/C2C2 ⊆ Out Dic30480Dic30.41C2^2480,908
Dic30.42C22 = D4.8D30φ: C22/C2C2 ⊆ Out Dic302404Dic30.42C2^2480,915
Dic30.43C22 = D4.9D30φ: C22/C2C2 ⊆ Out Dic302404-Dic30.43C2^2480,916
Dic30.44C22 = Q8.15D30φ: C22/C2C2 ⊆ Out Dic302404Dic30.44C2^2480,1174
Dic30.45C22 = D4.10D30φ: C22/C2C2 ⊆ Out Dic302404-Dic30.45C2^2480,1177
Dic30.46C22 = D20.31D6φ: C22/C2C2 ⊆ Out Dic302404Dic30.46C2^2480,387
Dic30.47C22 = C60.63D4φ: C22/C2C2 ⊆ Out Dic302404-Dic30.47C2^2480,389
Dic30.48C22 = C12.D20φ: C22/C2C2 ⊆ Out Dic302404Dic30.48C2^2480,391
Dic30.49C22 = C2xC3:Dic20φ: C22/C2C2 ⊆ Out Dic30480Dic30.49C2^2480,395
Dic30.50C22 = C30.C24φ: C22/C2C2 ⊆ Out Dic302404Dic30.50C2^2480,1080
Dic30.51C22 = C20.60D12φ: C22/C2C2 ⊆ Out Dic302404Dic30.51C2^2480,379
Dic30.52C22 = C2xC5:Dic12φ: C22/C2C2 ⊆ Out Dic30480Dic30.52C2^2480,396
Dic30.53C22 = C20.D12φ: C22/C2C2 ⊆ Out Dic302404Dic30.53C2^2480,397
Dic30.54C22 = D12.33D10φ: C22/C2C2 ⊆ Out Dic302404-Dic30.54C2^2480,398
Dic30.55C22 = D20.38D6φ: C22/C2C2 ⊆ Out Dic302404Dic30.55C2^2480,1076
Dic30.56C22 = D20.39D6φ: C22/C2C2 ⊆ Out Dic302404-Dic30.56C2^2480,1077

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