Extensions 1→N→G→Q→1 with N=C10.Q16 and Q=C2

Direct product G=N×Q with N=C10.Q16 and Q=C2
dρLabelID
C2×C10.Q16320C2xC10.Q16320,596

Semidirect products G=N:Q with N=C10.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.Q161C2 = C20⋊Q8⋊C2φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:1C2320,392
C10.Q162C2 = Dic10.D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:2C2320,394
C10.Q163C2 = (C8×Dic5)⋊C2φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:3C2320,395
C10.Q164C2 = D4⋊(C4×D5)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:4C2320,398
C10.Q165C2 = D42D5⋊C4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:5C2320,399
C10.Q166C2 = D43D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:6C2320,408
C10.Q167C2 = D4.D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:7C2320,410
C10.Q168C2 = D20.D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:8C2320,414
C10.Q169C2 = D5×Q8⋊C4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:9C2320,428
C10.Q1610C2 = (Q8×D5)⋊C4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:10C2320,429
C10.Q1611C2 = Q82D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:11C2320,433
C10.Q1612C2 = D104Q16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:12C2320,435
C10.Q1613C2 = Dic5⋊SD16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:13C2320,445
C10.Q1614C2 = Dic58SD16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:14C2320,479
C10.Q1615C2 = D10.12SD16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:15C2320,489
C10.Q1616C2 = C88D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:16C2320,491
C10.Q1617C2 = C20.(C4○D4)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:17C2320,494
C10.Q1618C2 = C8.2D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:18C2320,495
C10.Q1619C2 = D10.8Q16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:19C2320,511
C10.Q1620C2 = C83D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:20C2320,513
C10.Q1621C2 = D102Q16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:21C2320,514
C10.Q1622C2 = C2.D87D5φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:22C2320,515
C10.Q1623C2 = C4021(C2×C4)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:23C2320,516
C10.Q1624C2 = C4○D209C4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:24C2320,593
C10.Q1625C2 = C4⋊C4.230D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:25C2320,597
C10.Q1626C2 = C4⋊C4.231D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:26C2320,598
C10.Q1627C2 = C4⋊C4.233D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:27C2320,623
C10.Q1628C2 = C4.(C2×D20)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:28C2320,631
C10.Q1629C2 = D4.1D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:29C2320,643
C10.Q1630C2 = C42.51D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:30C2320,645
C10.Q1631C2 = D4.2D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:31C2320,646
C10.Q1632C2 = Q8.1D20φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:32C2320,655
C10.Q1633C2 = D2017D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:33C2320,664
C10.Q1634C2 = Dic1017D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:34C2320,667
C10.Q1635C2 = C52C823D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:35C2320,668
C10.Q1636C2 = C4.(D4×D5)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:36C2320,669
C10.Q1637C2 = D20.37D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:37C2320,674
C10.Q1638C2 = Dic10.37D4φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:38C2320,677
C10.Q1639C2 = (C2×C10)⋊Q16φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:39C2320,678
C10.Q1640C2 = C5⋊(C8.D4)φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:40C2320,679
C10.Q1641C2 = C42.216D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:41C2320,695
C10.Q1642C2 = C42.82D10φ: C2/C1C2 ⊆ Out C10.Q16160C10.Q16:42C2320,716
C10.Q1643C2 = C4○D2010C4φ: trivial image160C10.Q16:43C2320,629
C10.Q1644C2 = C4×D4.D5φ: trivial image160C10.Q16:44C2320,644

Non-split extensions G=N.Q with N=C10.Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C10.Q16.1C2 = Dic5.3Q16φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.1C2320,419
C10.Q16.2C2 = Dic5⋊Q16φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.2C2320,420
C10.Q16.3C2 = C408C4.C2φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.3C2320,424
C10.Q16.4C2 = Dic2015C4φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.4C2320,480
C10.Q16.5C2 = Dic10⋊Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.5C2320,481
C10.Q16.6C2 = Dic10.Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.6C2320,484
C10.Q16.7C2 = Dic55Q16φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.7C2320,500
C10.Q16.8C2 = Dic102Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.8C2320,502
C10.Q16.9C2 = Dic10.2Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.9C2320,504
C10.Q16.10C2 = C42.59D10φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.10C2320,657
C10.Q16.11C2 = C207Q16φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.11C2320,658
C10.Q16.12C2 = Dic10.4Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.12C2320,690
C10.Q16.13C2 = C42.71D10φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.13C2320,696
C10.Q16.14C2 = Dic105Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.14C2320,718
C10.Q16.15C2 = C20.11Q16φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.15C2320,720
C10.Q16.16C2 = Dic106Q8φ: C2/C1C2 ⊆ Out C10.Q16320C10.Q16.16C2320,721
C10.Q16.17C2 = C4×C5⋊Q16φ: trivial image320C10.Q16.17C2320,656

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