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Extensions 1→N→G→Q→1 with N=C20⋊3C8 and Q=C2

Direct product G=N×Q with N=C20⋊3C8 and Q=C2
dρLabelID
C2×C20⋊3C8320C2xC20:3C8320,550

Semidirect products G=N:Q with N=C20⋊3C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20⋊3C8⋊1C2 = D20⋊3C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:1C2320,17
C20⋊3C8⋊2C2 = C8⋊6D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:2C2320,315
C20⋊3C8⋊3C2 = C8⋊9D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:3C2320,333
C20⋊3C8⋊4C2 = C20⋊13M4(2)φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:4C2320,551
C20⋊3C8⋊5C2 = C42.7Dic5φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:5C2320,553
C20⋊3C8⋊6C2 = C42.43D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:6C2320,626
C20⋊3C8⋊7C2 = C42.187D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:7C2320,627
C20⋊3C8⋊8C2 = C4.D40φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:8C2320,43
C20⋊3C8⋊9C2 = C20.57D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:9C2320,92
C20⋊3C8⋊10C2 = C20.9D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:10C2320,102
C20⋊3C8⋊11C2 = D5×C4⋊C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:11C2320,459
C20⋊3C8⋊12C2 = C42.200D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:12C2320,460
C20⋊3C8⋊13C2 = C42.202D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:13C2320,462
C20⋊3C8⋊14C2 = C20⋊5M4(2)φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:14C2320,464
C20⋊3C8⋊15C2 = C42.30D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:15C2320,466
C20⋊3C8⋊16C2 = C42.31D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:16C2320,467
C20⋊3C8⋊17C2 = C20.50D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:17C2320,634
C20⋊3C8⋊18C2 = C20.38SD16φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:18C2320,635
C20⋊3C8⋊19C2 = D4.3Dic10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:19C2320,636
C20⋊3C8⋊20C2 = D4×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:20C2320,637
C20⋊3C8⋊21C2 = C42.47D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:21C2320,638
C20⋊3C8⋊22C2 = C20⋊7M4(2)φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:22C2320,639
C20⋊3C8⋊23C2 = C20⋊7D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:23C2320,642
C20⋊3C8⋊24C2 = D4.1D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:24C2320,643
C20⋊3C8⋊25C2 = D4.2D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:25C2320,646
C20⋊3C8⋊26C2 = Q8⋊D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:26C2320,654
C20⋊3C8⋊27C2 = Q8.1D20φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:27C2320,655
C20⋊3C8⋊28C2 = C42.61D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:28C2320,681
C20⋊3C8⋊29C2 = D20.23D4φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:29C2320,684
C20⋊3C8⋊30C2 = D20.4Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:30C2320,693
C20⋊3C8⋊31C2 = C20⋊2D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:31C2320,699
C20⋊3C8⋊32C2 = Dic10⋊9D4φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:32C2320,702
C20⋊3C8⋊33C2 = C20⋊5SD16φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:33C2320,710
C20⋊3C8⋊34C2 = D20⋊5Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:34C2320,711
C20⋊3C8⋊35C2 = D20⋊6Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8160C20:3C8:35C2320,714
C20⋊3C8⋊36C2 = C8×D20φ: trivial image160C20:3C8:36C2320,313
C20⋊3C8⋊37C2 = C42.6Dic5φ: trivial image160C20:3C8:37C2320,552

Non-split extensions G=N.Q with N=C20⋊3C8 and Q=C2
extensionφ:Q→Out NdρLabelID
C20⋊3C8.1C2 = Dic10⋊3C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.1C2320,14
C20⋊3C8.2C2 = C40⋊6C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.2C2320,15
C20⋊3C8.3C2 = C40⋊5C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.3C2320,16
C20⋊3C8.4C2 = C40⋊11Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.4C2320,306
C20⋊3C8.5C2 = C40⋊Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.5C2320,328
C20⋊3C8.6C2 = C20.53D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.6C2320,37
C20⋊3C8.7C2 = C20.39SD16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.7C2320,38
C20⋊3C8.8C2 = C4.Dic20φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.8C2320,39
C20⋊3C8.9C2 = C20.47D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.9C2320,40
C20⋊3C8.10C2 = C20.2D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.10C2320,44
C20⋊3C8.11C2 = C20.26Q16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.11C2320,93
C20⋊3C8.12C2 = C20.5Q16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.12C2320,104
C20⋊3C8.13C2 = C20.10D8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.13C2320,105
C20⋊3C8.14C2 = C20.48SD16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.14C2320,647
C20⋊3C8.15C2 = C20.23Q16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.15C2320,648
C20⋊3C8.16C2 = Q8.3Dic10φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.16C2320,649
C20⋊3C8.17C2 = Q8×C5⋊2C8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.17C2320,650
C20⋊3C8.18C2 = C42.210D10φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.18C2320,651
C20⋊3C8.19C2 = C20⋊7Q16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.19C2320,658
C20⋊3C8.20C2 = Dic10.4Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.20C2320,690
C20⋊3C8.21C2 = C20⋊Q16φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.21C2320,717
C20⋊3C8.22C2 = Dic10⋊5Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.22C2320,718
C20⋊3C8.23C2 = Dic10⋊6Q8φ: C2/C1 → C2 ⊆ Out C20⋊3C8320C20:3C8.23C2320,721
C20⋊3C8.24C2 = C8×Dic10φ: trivial image320C20:3C8.24C2320,305

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