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Extensions 1→N→G→Q→1 with N=C15⋊3C8 and Q=C22

Direct product G=N×Q with N=C15⋊3C8 and Q=C22
dρLabelID
C22×C15⋊3C8480C2^2xC15:3C8480,885

Semidirect products G=N:Q with N=C15⋊3C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C15⋊3C8⋊1C22 = D5×D4⋊S3φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:1C2^2480,553
C15⋊3C8⋊2C22 = Dic10⋊3D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:2C2^2480,554
C15⋊3C8⋊3C22 = S3×D4⋊D5φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:3C2^2480,555
C15⋊3C8⋊4C22 = D60.C22φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:4C2^2480,556
C15⋊3C8⋊5C22 = D5×D4.S3φ: C22/C1 → C22 ⊆ Out C15⋊3C81208-C15:3C8:5C2^2480,559
C15⋊3C8⋊6C22 = S3×D4.D5φ: C22/C1 → C22 ⊆ Out C15⋊3C81208-C15:3C8:6C2^2480,561
C15⋊3C8⋊7C22 = D12⋊10D10φ: C22/C1 → C22 ⊆ Out C15⋊3C81208-C15:3C8:7C2^2480,565
C15⋊3C8⋊8C22 = D20.9D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:8C2^2480,567
C15⋊3C8⋊9C22 = D20⋊10D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81208-C15:3C8:9C2^2480,570
C15⋊3C8⋊10C22 = D12.9D10φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:10C2^2480,572
C15⋊3C8⋊11C22 = D5×Q8⋊2S3φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:11C2^2480,577
C15⋊3C8⋊12C22 = D20⋊D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:12C2^2480,578
C15⋊3C8⋊13C22 = S3×Q8⋊D5φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:13C2^2480,579
C15⋊3C8⋊14C22 = D12⋊D10φ: C22/C1 → C22 ⊆ Out C15⋊3C81208+C15:3C8:14C2^2480,580
C15⋊3C8⋊15C22 = D8⋊D15φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:15C2^2480,876
C15⋊3C8⋊16C22 = Q8⋊3D30φ: C22/C1 → C22 ⊆ Out C15⋊3C81204+C15:3C8:16C2^2480,879
C15⋊3C8⋊17C22 = D4.D30φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:17C2^2480,897
C15⋊3C8⋊18C22 = D4⋊D30φ: C22/C1 → C22 ⊆ Out C15⋊3C81204+C15:3C8:18C2^2480,914
C15⋊3C8⋊19C22 = D24⋊6D5φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:19C2^2480,333
C15⋊3C8⋊20C22 = C40⋊8D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:20C2^2480,334
C15⋊3C8⋊21C22 = C60.36D4φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:21C2^2480,374
C15⋊3C8⋊22C22 = D20⋊21D6φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:22C2^2480,375
C15⋊3C8⋊23C22 = D5×C8⋊S3φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:23C2^2480,320
C15⋊3C8⋊24C22 = S3×C8⋊D5φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:24C2^2480,321
C15⋊3C8⋊25C22 = D5×C4.Dic3φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:25C2^2480,358
C15⋊3C8⋊26C22 = S3×C4.Dic5φ: C22/C1 → C22 ⊆ Out C15⋊3C81204C15:3C8:26C2^2480,363
C15⋊3C8⋊27C22 = D8×D15φ: C22/C2 → C2 ⊆ Out C15⋊3C81204+C15:3C8:27C2^2480,875
C15⋊3C8⋊28C22 = SD16×D15φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:28C2^2480,878
C15⋊3C8⋊29C22 = C2×D4⋊D15φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:29C2^2480,896
C15⋊3C8⋊30C22 = C2×D4.D15φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:30C2^2480,898
C15⋊3C8⋊31C22 = C2×Q8⋊2D15φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:31C2^2480,906
C15⋊3C8⋊32C22 = C2×C40⋊S3φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:32C2^2480,865
C15⋊3C8⋊33C22 = M4(2)×D15φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:33C2^2480,871
C15⋊3C8⋊34C22 = C2×C60.7C4φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:34C2^2480,886
C15⋊3C8⋊35C22 = C40⋊14D6φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:35C2^2480,331
C15⋊3C8⋊36C22 = C40⋊5D6φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:36C2^2480,332
C15⋊3C8⋊37C22 = C2×C15⋊D8φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:37C2^2480,372
C15⋊3C8⋊38C22 = C2×C30.D4φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:38C2^2480,382
C15⋊3C8⋊39C22 = C2×C20.D6φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:39C2^2480,384
C15⋊3C8⋊40C22 = S3×C8×D5φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:40C2^2480,319
C15⋊3C8⋊41C22 = C40⋊D6φ: C22/C2 → C2 ⊆ Out C15⋊3C81204C15:3C8:41C2^2480,322
C15⋊3C8⋊42C22 = C2×D5×C3⋊C8φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:42C2^2480,357
C15⋊3C8⋊43C22 = C2×S3×C5⋊2C8φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:43C2^2480,361
C15⋊3C8⋊44C22 = C2×C20.32D6φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:44C2^2480,369
C15⋊3C8⋊45C22 = C2×D6.Dic5φ: C22/C2 → C2 ⊆ Out C15⋊3C8240C15:3C8:45C2^2480,370
C15⋊3C8⋊46C22 = C2×C8×D15φ: trivial image240C15:3C8:46C2^2480,864

Non-split extensions G=N.Q with N=C15⋊3C8 and Q=C22
extensionφ:Q→Out NdρLabelID
C15⋊3C8.1C22 = C60.8C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.1C2^2480,560
C15⋊3C8.2C22 = C60.10C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.2C2^2480,562
C15⋊3C8.3C22 = D12.24D10φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.3C2^2480,566
C15⋊3C8.4C22 = C60.16C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.4C2^2480,568
C15⋊3C8.5C22 = D20.24D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.5C2^2480,569
C15⋊3C8.6C22 = C60.19C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.6C2^2480,571
C15⋊3C8.7C22 = D5×C3⋊Q16φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.7C2^2480,583
C15⋊3C8.8C22 = D20.13D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.8C2^2480,584
C15⋊3C8.9C22 = S3×C5⋊Q16φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.9C2^2480,585
C15⋊3C8.10C22 = Dic10.26D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.10C2^2480,586
C15⋊3C8.11C22 = D12.27D10φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.11C2^2480,589
C15⋊3C8.12C22 = D20.14D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.12C2^2480,590
C15⋊3C8.13C22 = C60.39C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.13C2^2480,591
C15⋊3C8.14C22 = D20.D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.14C2^2480,592
C15⋊3C8.15C22 = D20.27D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.15C2^2480,593
C15⋊3C8.16C22 = D20.28D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408-C15:3C8.16C2^2480,594
C15⋊3C8.17C22 = Dic10.27D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.17C2^2480,595
C15⋊3C8.18C22 = C60.44C23φ: C22/C1 → C22 ⊆ Out C15⋊3C82408+C15:3C8.18C2^2480,596
C15⋊3C8.19C22 = SD16⋊D15φ: C22/C1 → C22 ⊆ Out C15⋊3C82404-C15:3C8.19C2^2480,880
C15⋊3C8.20C22 = Q16⋊D15φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.20C2^2480,883
C15⋊3C8.21C22 = Q8.11D30φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.21C2^2480,907
C15⋊3C8.22C22 = D4.9D30φ: C22/C1 → C22 ⊆ Out C15⋊3C82404-C15:3C8.22C2^2480,916
C15⋊3C8.23C22 = D30.3D4φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.23C2^2480,354
C15⋊3C8.24C22 = D30.4D4φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.24C2^2480,356
C15⋊3C8.25C22 = D20.37D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.25C2^2480,383
C15⋊3C8.26C22 = D12.37D10φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.26C2^2480,385
C15⋊3C8.27C22 = C40.34D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.27C2^2480,342
C15⋊3C8.28C22 = C40.55D6φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.28C2^2480,343
C15⋊3C8.29C22 = D20.3Dic3φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.29C2^2480,359
C15⋊3C8.30C22 = D12.2Dic5φ: C22/C1 → C22 ⊆ Out C15⋊3C82404C15:3C8.30C2^2480,362
C15⋊3C8.31C22 = D8⋊3D15φ: C22/C2 → C2 ⊆ Out C15⋊3C82404-C15:3C8.31C2^2480,877
C15⋊3C8.32C22 = D4.5D30φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.32C2^2480,881
C15⋊3C8.33C22 = Q16×D15φ: C22/C2 → C2 ⊆ Out C15⋊3C82404-C15:3C8.33C2^2480,882
C15⋊3C8.34C22 = D120⋊8C2φ: C22/C2 → C2 ⊆ Out C15⋊3C82404+C15:3C8.34C2^2480,884
C15⋊3C8.35C22 = C2×C15⋊7Q16φ: C22/C2 → C2 ⊆ Out C15⋊3C8480C15:3C8.35C2^2480,908
C15⋊3C8.36C22 = D4.8D30φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.36C2^2480,915
C15⋊3C8.37C22 = D60.6C4φ: C22/C2 → C2 ⊆ Out C15⋊3C82402C15:3C8.37C2^2480,866
C15⋊3C8.38C22 = D60.3C4φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.38C2^2480,872
C15⋊3C8.39C22 = D4.Dic15φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.39C2^2480,913
C15⋊3C8.40C22 = Dic10.D6φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.40C2^2480,340
C15⋊3C8.41C22 = Dic6.D10φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.41C2^2480,352
C15⋊3C8.42C22 = D40⋊5S3φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.42C2^2480,353
C15⋊3C8.43C22 = D24⋊5D5φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.43C2^2480,355
C15⋊3C8.44C22 = D20.34D6φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.44C2^2480,373
C15⋊3C8.45C22 = C2×C15⋊Q16φ: C22/C2 → C2 ⊆ Out C15⋊3C8480C15:3C8.45C2^2480,394
C15⋊3C8.46C22 = C40.54D6φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.46C2^2480,341
C15⋊3C8.47C22 = C40.35D6φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.47C2^2480,344
C15⋊3C8.48C22 = D20.2Dic3φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.48C2^2480,360
C15⋊3C8.49C22 = D12.Dic5φ: C22/C2 → C2 ⊆ Out C15⋊3C82404C15:3C8.49C2^2480,364

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