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Extensions 1→N→G→Q→1 with N=C5⋊2C8 and Q=D6

Direct product G=N×Q with N=C5⋊2C8 and Q=D6
dρLabelID
C2×S3×C5⋊2C8240C2xS3xC5:2C8480,361

Semidirect products G=N:Q with N=C5⋊2C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C5⋊2C8⋊1D6 = C24⋊D10φ: D6/C3 → C22 ⊆ Out C5⋊2C81204+C5:2C8:1D6480,325
C5⋊2C8⋊2D6 = D24⋊D5φ: D6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:2D6480,326
C5⋊2C8⋊3D6 = D60⋊36C22φ: D6/C3 → C22 ⊆ Out C5⋊2C81204C5:2C8:3D6480,380
C5⋊2C8⋊4D6 = C60.38D4φ: D6/C3 → C22 ⊆ Out C5⋊2C81204+C5:2C8:4D6480,381
C5⋊2C8⋊5D6 = D60.C22φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:5D6480,556
C5⋊2C8⋊6D6 = D30.8D4φ: D6/C3 → C22 ⊆ Out C5⋊2C81208-C5:2C8:6D6480,558
C5⋊2C8⋊7D6 = D20⋊10D6φ: D6/C3 → C22 ⊆ Out C5⋊2C81208-C5:2C8:7D6480,570
C5⋊2C8⋊8D6 = D12.9D10φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:8D6480,572
C5⋊2C8⋊9D6 = Dic6⋊D10φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:9D6480,574
C5⋊2C8⋊10D6 = D12⋊5D10φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:10D6480,576
C5⋊2C8⋊11D6 = D12⋊D10φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:11D6480,580
C5⋊2C8⋊12D6 = D60⋊C22φ: D6/C3 → C22 ⊆ Out C5⋊2C81208+C5:2C8:12D6480,582
C5⋊2C8⋊13D6 = S3×D4⋊D5φ: D6/S3 → C2 ⊆ Out C5⋊2C81208+C5:2C8:13D6480,555
C5⋊2C8⋊14D6 = D15⋊D8φ: D6/S3 → C2 ⊆ Out C5⋊2C81208+C5:2C8:14D6480,557
C5⋊2C8⋊15D6 = S3×D4.D5φ: D6/S3 → C2 ⊆ Out C5⋊2C81208-C5:2C8:15D6480,561
C5⋊2C8⋊16D6 = Dic10⋊D6φ: D6/S3 → C2 ⊆ Out C5⋊2C81208+C5:2C8:16D6480,563
C5⋊2C8⋊17D6 = S3×Q8⋊D5φ: D6/S3 → C2 ⊆ Out C5⋊2C81208+C5:2C8:17D6480,579
C5⋊2C8⋊18D6 = D15⋊SD16φ: D6/S3 → C2 ⊆ Out C5⋊2C81208-C5:2C8:18D6480,581
C5⋊2C8⋊19D6 = S3×C8⋊D5φ: D6/S3 → C2 ⊆ Out C5⋊2C81204C5:2C8:19D6480,321
C5⋊2C8⋊20D6 = C40⋊D6φ: D6/S3 → C2 ⊆ Out C5⋊2C81204C5:2C8:20D6480,322
C5⋊2C8⋊21D6 = S3×C4.Dic5φ: D6/S3 → C2 ⊆ Out C5⋊2C81204C5:2C8:21D6480,363
C5⋊2C8⋊22D6 = D15⋊4M4(2)φ: D6/S3 → C2 ⊆ Out C5⋊2C81204C5:2C8:22D6480,368
C5⋊2C8⋊23D6 = D5×C24⋊C2φ: D6/C6 → C2 ⊆ Out C5⋊2C81204C5:2C8:23D6480,323
C5⋊2C8⋊24D6 = D5×D24φ: D6/C6 → C2 ⊆ Out C5⋊2C81204+C5:2C8:24D6480,324
C5⋊2C8⋊25D6 = C2×C5⋊D24φ: D6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:25D6480,378
C5⋊2C8⋊26D6 = C2×D12.D5φ: D6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:26D6480,392
C5⋊2C8⋊27D6 = C2×Dic6⋊D5φ: D6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:27D6480,393
C5⋊2C8⋊28D6 = D5×C8⋊S3φ: D6/C6 → C2 ⊆ Out C5⋊2C81204C5:2C8:28D6480,320
C5⋊2C8⋊29D6 = C2×D6.Dic5φ: D6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:29D6480,370
C5⋊2C8⋊30D6 = C2×D30.5C4φ: D6/C6 → C2 ⊆ Out C5⋊2C8240C5:2C8:30D6480,371
C5⋊2C8⋊31D6 = S3×C8×D5φ: trivial image1204C5:2C8:31D6480,319
C5⋊2C8⋊32D6 = C2×D15⋊2C8φ: trivial image240C5:2C8:32D6480,365

Non-split extensions G=N.Q with N=C5⋊2C8 and Q=D6
extensionφ:Q→Out NdρLabelID
C5⋊2C8.1D6 = Dic60⋊C2φ: D6/C3 → C22 ⊆ Out C5⋊2C82404-C5:2C8.1D6480,336
C5⋊2C8.2D6 = C24.2D10φ: D6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.2D6480,337
C5⋊2C8.3D6 = C20.D12φ: D6/C3 → C22 ⊆ Out C5⋊2C82404C5:2C8.3D6480,397
C5⋊2C8.4D6 = D12.33D10φ: D6/C3 → C22 ⊆ Out C5⋊2C82404-C5:2C8.4D6480,398
C5⋊2C8.5D6 = C60.10C23φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.5D6480,562
C5⋊2C8.6D6 = D30.9D4φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.6D6480,564
C5⋊2C8.7D6 = Dic10.26D6φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.7D6480,586
C5⋊2C8.8D6 = C60.C23φ: D6/C3 → C22 ⊆ Out C5⋊2C82408+C5:2C8.8D6480,588
C5⋊2C8.9D6 = D20.28D6φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.9D6480,594
C5⋊2C8.10D6 = C60.44C23φ: D6/C3 → C22 ⊆ Out C5⋊2C82408+C5:2C8.10D6480,596
C5⋊2C8.11D6 = D20.17D6φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.11D6480,598
C5⋊2C8.12D6 = D30.44D4φ: D6/C3 → C22 ⊆ Out C5⋊2C82408-C5:2C8.12D6480,600
C5⋊2C8.13D6 = D20.24D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.13D6480,569
C5⋊2C8.14D6 = C60.19C23φ: D6/S3 → C2 ⊆ Out C5⋊2C82408+C5:2C8.14D6480,571
C5⋊2C8.15D6 = D20.10D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.15D6480,573
C5⋊2C8.16D6 = D30.11D4φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.16D6480,575
C5⋊2C8.17D6 = S3×C5⋊Q16φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.17D6480,585
C5⋊2C8.18D6 = D15⋊Q16φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.18D6480,587
C5⋊2C8.19D6 = D20.27D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82408-C5:2C8.19D6480,593
C5⋊2C8.20D6 = Dic10.27D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82408+C5:2C8.20D6480,595
C5⋊2C8.21D6 = D20.16D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82408+C5:2C8.21D6480,597
C5⋊2C8.22D6 = D12.D10φ: D6/S3 → C2 ⊆ Out C5⋊2C82408+C5:2C8.22D6480,599
C5⋊2C8.23D6 = C40.55D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82404C5:2C8.23D6480,343
C5⋊2C8.24D6 = C40.35D6φ: D6/S3 → C2 ⊆ Out C5⋊2C82404C5:2C8.24D6480,344
C5⋊2C8.25D6 = D12.Dic5φ: D6/S3 → C2 ⊆ Out C5⋊2C82404C5:2C8.25D6480,364
C5⋊2C8.26D6 = D60.4C4φ: D6/S3 → C2 ⊆ Out C5⋊2C82404C5:2C8.26D6480,367
C5⋊2C8.27D6 = S3×C5⋊C16φ: D6/S3 → C2 ⊆ Out C5⋊2C82408C5:2C8.27D6480,239
C5⋊2C8.28D6 = D15⋊C16φ: D6/S3 → C2 ⊆ Out C5⋊2C82408C5:2C8.28D6480,240
C5⋊2C8.29D6 = C15⋊M5(2)φ: D6/S3 → C2 ⊆ Out C5⋊2C82408C5:2C8.29D6480,241
C5⋊2C8.30D6 = D30.C8φ: D6/S3 → C2 ⊆ Out C5⋊2C82408C5:2C8.30D6480,242
C5⋊2C8.31D6 = D5×Dic12φ: D6/C6 → C2 ⊆ Out C5⋊2C82404-C5:2C8.31D6480,335
C5⋊2C8.32D6 = C40.31D6φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.32D6480,345
C5⋊2C8.33D6 = D24⋊7D5φ: D6/C6 → C2 ⊆ Out C5⋊2C82404-C5:2C8.33D6480,346
C5⋊2C8.34D6 = D120⋊C2φ: D6/C6 → C2 ⊆ Out C5⋊2C82404+C5:2C8.34D6480,347
C5⋊2C8.35D6 = C20.60D12φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.35D6480,379
C5⋊2C8.36D6 = C2×C5⋊Dic12φ: D6/C6 → C2 ⊆ Out C5⋊2C8480C5:2C8.36D6480,396
C5⋊2C8.37D6 = C40.54D6φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.37D6480,341
C5⋊2C8.38D6 = D12.2Dic5φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.38D6480,362
C5⋊2C8.39D6 = D60.5C4φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.39D6480,366
C5⋊2C8.40D6 = C24.F5φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.40D6480,294
C5⋊2C8.41D6 = C120.C4φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.41D6480,295
C5⋊2C8.42D6 = C2×C15⋊C16φ: D6/C6 → C2 ⊆ Out C5⋊2C8480C5:2C8.42D6480,302
C5⋊2C8.43D6 = C60.C8φ: D6/C6 → C2 ⊆ Out C5⋊2C82404C5:2C8.43D6480,303
C5⋊2C8.44D6 = C40.34D6φ: trivial image2404C5:2C8.44D6480,342

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