Extensions 1→N→G→Q→1 with N=C22.4Q16 and Q=C2

Direct product G=N×Q with N=C22.4Q16 and Q=C2
dρLabelID
C2×C22.4Q16128C2xC2^2.4Q16128,466

Semidirect products G=N:Q with N=C22.4Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.4Q161C2 = C42.98D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:1C2128,534
C22.4Q162C2 = C42.100D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:2C2128,536
C22.4Q163C2 = C24.133D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:3C2128,539
C22.4Q164C2 = C23.22D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:4C2128,540
C22.4Q165C2 = C23.36D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:5C2128,555
C22.4Q166C2 = C24.157D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:6C2128,556
C22.4Q167C2 = C24.69D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:7C2128,557
C22.4Q168C2 = C2.(C4×D8)φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:8C2128,594
C22.4Q169C2 = D4⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:9C2128,596
C22.4Q1610C2 = C24.160D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:10C2128,604
C22.4Q1611C2 = C24.73D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:11C2128,605
C22.4Q1612C2 = C23.38D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:12C2128,606
C22.4Q1613C2 = C24.74D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:13C2128,607
C22.4Q1614C2 = C24.135D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:14C2128,624
C22.4Q1615C2 = C23.23D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:15C2128,625
C22.4Q1616C2 = D4⋊C4⋊C4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:16C2128,657
C22.4Q1617C2 = C4.67(C4×D4)φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:17C2128,658
C22.4Q1618C2 = C2.(C87D4)φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:18C2128,666
C22.4Q1619C2 = (C2×D4)⋊Q8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:19C2128,755
C22.4Q1620C2 = C4⋊C4.84D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:20C2128,757
C22.4Q1621C2 = C24.83D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:21C2128,765
C22.4Q1622C2 = C24.84D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:22C2128,766
C22.4Q1623C2 = C24.85D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:23C2128,767
C22.4Q1624C2 = C24.86D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:24C2128,768
C22.4Q1625C2 = C4⋊C4.106D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:25C2128,797
C22.4Q1626C2 = (C2×C4).23D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:26C2128,799
C22.4Q1627C2 = (C2×C4).24D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:27C2128,803
C22.4Q1628C2 = C428C4⋊C2φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:28C2128,805
C22.4Q1629C2 = C23.12D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:29C2128,807
C22.4Q1630C2 = C24.88D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:30C2128,808
C22.4Q1631C2 = C24.89D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:31C2128,809
C22.4Q1632C2 = C22.SD32φ: C2/C1C2 ⊆ Out C22.4Q1632C2^2.4Q16:32C2128,79
C22.4Q1633C2 = C23.37D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:33C2128,584
C22.4Q1634C2 = C24.71D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:34C2128,586
C22.4Q1635C2 = (C2×C4)⋊9D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:35C2128,611
C22.4Q1636C2 = C232D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:36C2128,731
C22.4Q1637C2 = C232Q16φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:37C2128,733
C22.4Q1638C2 = (C2×C4)⋊3D8φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:38C2128,786
C22.4Q1639C2 = C24.159D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:39C2128,585
C22.4Q1640C2 = (C2×SD16)⋊14C4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:40C2128,609
C22.4Q1641C2 = (C2×SD16)⋊15C4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:41C2128,612
C22.4Q1642C2 = C233SD16φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:42C2128,732
C22.4Q1643C2 = (C2×C4)⋊5SD16φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:43C2128,787
C22.4Q1644C2 = C24.152D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:44C2128,468
C22.4Q1645C2 = D4⋊C42φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:45C2128,494
C22.4Q1646C2 = C24.67D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:46C2128,541
C22.4Q1647C2 = C24.75D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:47C2128,626
C22.4Q1648C2 = C24.76D4φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:48C2128,627
C22.4Q1649C2 = C2.(C82D4)φ: C2/C1C2 ⊆ Out C22.4Q1664C2^2.4Q16:49C2128,668
C22.4Q1650C2 = C24.132D4φ: trivial image64C2^2.4Q16:50C2128,467
C22.4Q1651C2 = C4×D4⋊C4φ: trivial image64C2^2.4Q16:51C2128,492

Non-split extensions G=N.Q with N=C22.4Q16 and Q=C2
extensionφ:Q→Out NdρLabelID
C22.4Q16.1C2 = C42.99D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.1C2128,535
C22.4Q16.2C2 = C42.101D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.2C2128,537
C22.4Q16.3C2 = C42.55Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.3C2128,566
C22.4Q16.4C2 = C42.56Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.4C2128,567
C22.4Q16.5C2 = Q8⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.5C2128,595
C22.4Q16.6C2 = Q8⋊C4⋊C4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.6C2128,597
C22.4Q16.7C2 = C2.D84C4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.7C2128,650
C22.4Q16.8C2 = C4.Q89C4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.8C2128,651
C22.4Q16.9C2 = C4.Q810C4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.9C2128,652
C22.4Q16.10C2 = C2.D85C4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.10C2128,653
C22.4Q16.11C2 = C4.68(C4×D4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.11C2128,659
C22.4Q16.12C2 = C2.(C4×Q16)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.12C2128,660
C22.4Q16.13C2 = C2.(C88D4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.13C2128,665
C22.4Q16.14C2 = C87(C4⋊C4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.14C2128,673
C22.4Q16.15C2 = C85(C4⋊C4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.15C2128,674
C22.4Q16.16C2 = C42.121D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.16C2128,719
C22.4Q16.17C2 = C42.122D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.17C2128,720
C22.4Q16.18C2 = C42.123D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.18C2128,721
C22.4Q16.19C2 = C42.436D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.19C2128,722
C22.4Q16.20C2 = C42.437D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.20C2128,723
C22.4Q16.21C2 = (C2×Q8)⋊Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.21C2128,756
C22.4Q16.22C2 = C4⋊C4.85D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.22C2128,758
C22.4Q16.23C2 = (C2×Q8).8Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.23C2128,798
C22.4Q16.24C2 = (C2×C8).52D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.24C2128,800
C22.4Q16.25C2 = (C2×C4).19Q16φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.25C2128,804
C22.4Q16.26C2 = (C2×Q8).109D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.26C2128,806
C22.4Q16.27C2 = (C2×C4).26D8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.27C2128,818
C22.4Q16.28C2 = (C2×C4).21Q16φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.28C2128,819
C22.4Q16.29C2 = C4.(C4⋊Q8)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.29C2128,820
C22.4Q16.30C2 = (C2×C4).28D8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.30C2128,831
C22.4Q16.31C2 = (C2×C4).23Q16φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.31C2128,832
C22.4Q16.32C2 = C4⋊C4.Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.32C2128,833
C22.4Q16.33C2 = C23.32D8φ: C2/C1C2 ⊆ Out C22.4Q1632C2^2.4Q16.33C2128,80
C22.4Q16.34C2 = (C2×C4)⋊9Q16φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.34C2128,610
C22.4Q16.35C2 = C42.29Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.35C2128,679
C22.4Q16.36C2 = C42.31Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.36C2128,681
C22.4Q16.37C2 = (C2×C4)⋊3Q16φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.37C2128,788
C22.4Q16.38C2 = C4⋊C4⋊Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.38C2128,789
C22.4Q16.39C2 = C2.(C8⋊Q8)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.39C2128,791
C22.4Q16.40C2 = (C2×C8).1Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.40C2128,815
C22.4Q16.41C2 = (C2×C8).24Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.41C2128,817
C22.4Q16.42C2 = C42.30Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.42C2128,680
C22.4Q16.43C2 = (C2×C8)⋊Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.43C2128,790
C22.4Q16.44C2 = C2.(C83Q8)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.44C2128,816
C22.4Q16.45C2 = Q8⋊C42φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.45C2128,495
C22.4Q16.46C2 = C8⋊C42φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.46C2128,508
C22.4Q16.47C2 = C42.24Q8φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.47C2128,568
C22.4Q16.48C2 = C2.(C8⋊D4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.48C2128,667
C22.4Q16.49C2 = C4.(C4×Q8)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.49C2128,675
C22.4Q16.50C2 = C8⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.50C2128,676
C22.4Q16.51C2 = C42.124D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.51C2128,724
C22.4Q16.52C2 = C42.125D4φ: C2/C1C2 ⊆ Out C22.4Q16128C2^2.4Q16.52C2128,725
C22.4Q16.53C2 = C4×Q8⋊C4φ: trivial image128C2^2.4Q16.53C2128,493
C22.4Q16.54C2 = C4×C4.Q8φ: trivial image128C2^2.4Q16.54C2128,506
C22.4Q16.55C2 = C4×C2.D8φ: trivial image128C2^2.4Q16.55C2128,507

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