Extensions 1→N→G→Q→1 with N=C52C8 and Q=D4

Direct product G=N×Q with N=C52C8 and Q=D4
dρLabelID
D4×C52C8160D4xC5:2C8320,637

Semidirect products G=N:Q with N=C52C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C52C81D4 = C52C8⋊D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:1D4320,407
C52C82D4 = C5⋊(C82D4)φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:2D4320,409
C52C83D4 = C5⋊(C8⋊D4)φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:3D4320,439
C52C84D4 = C4⋊D4⋊D5φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:4D4320,666
C52C85D4 = C4.(D4×D5)φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:5D4320,669
C52C86D4 = C22⋊Q8⋊D5φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:6D4320,676
C52C87D4 = C42.64D10φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:7D4320,685
C52C88D4 = C42.74D10φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:8D4320,701
C52C89D4 = C4011D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:9D4320,781
C52C810D4 = C409D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8:10D4320,803
C52C811D4 = C20⋊D8φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:11D4320,700
C52C812D4 = C204SD16φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:12D4320,703
C52C813D4 = C206SD16φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:13D4320,712
C52C814D4 = C405D4φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:14D4320,778
C52C815D4 = C4015D4φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:15D4320,802
C52C816D4 = Dic52M4(2)φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:16D4320,356
C52C817D4 = C206M4(2)φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:17D4320,465
C52C818D4 = C207M4(2)φ: D4/C4C2 ⊆ Out C52C8160C5:2C8:18D4320,639
C52C819D4 = D10⋊D8φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:19D4320,402
C52C820D4 = D10⋊SD16φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:20D4320,405
C52C821D4 = D102SD16φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:21D4320,434
C52C822D4 = (C2×C10)⋊D8φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:22D4320,665
C52C823D4 = C52C823D4φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:23D4320,668
C52C824D4 = C52C824D4φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:24D4320,675
C52C825D4 = D104M4(2)φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:25D4320,355
C52C826D4 = C52C826D4φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:26D4320,357
C52C827D4 = D105M4(2)φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:27D4320,463
C52C828D4 = C42.47D10φ: D4/C22C2 ⊆ Out C52C8160C5:2C8:28D4320,638
C52C829D4 = C55(C8×D4)φ: trivial image160C5:2C8:29D4320,352
C52C830D4 = D205C8φ: trivial image160C5:2C8:30D4320,461

Non-split extensions G=N.Q with N=C52C8 and Q=D4
extensionφ:Q→Out NdρLabelID
C52C8.1D4 = C52C8.D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.1D4320,443
C52C8.2D4 = D16⋊D5φ: D4/C2C22 ⊆ Out C52C8804C5:2C8.2D4320,538
C52C8.3D4 = C16⋊D10φ: D4/C2C22 ⊆ Out C52C8804+C5:2C8.3D4320,541
C52C8.4D4 = SD32⋊D5φ: D4/C2C22 ⊆ Out C52C81604-C5:2C8.4D4320,542
C52C8.5D4 = Q32⋊D5φ: D4/C2C22 ⊆ Out C52C81604C5:2C8.5D4320,545
C52C8.6D4 = C5⋊(C8.D4)φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.6D4320,679
C52C8.7D4 = C42.65D10φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.7D4320,687
C52C8.8D4 = C42.80D10φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.8D4320,713
C52C8.9D4 = C40.31D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.9D4320,794
C52C8.10D4 = C40.37D4φ: D4/C2C22 ⊆ Out C52C8160C5:2C8.10D4320,817
C52C8.11D4 = D10.D8φ: D4/C2C22 ⊆ Out C52C8808-C5:2C8.11D4320,241
C52C8.12D4 = D5.D16φ: D4/C2C22 ⊆ Out C52C8808+C5:2C8.12D4320,242
C52C8.13D4 = D8.F5φ: D4/C2C22 ⊆ Out C52C81608-C5:2C8.13D4320,243
C52C8.14D4 = D40.C4φ: D4/C2C22 ⊆ Out C52C8808+C5:2C8.14D4320,244
C52C8.15D4 = D401C4φ: D4/C2C22 ⊆ Out C52C8808+C5:2C8.15D4320,245
C52C8.16D4 = D5.Q32φ: D4/C2C22 ⊆ Out C52C8808-C5:2C8.16D4320,246
C52C8.17D4 = Q16.F5φ: D4/C2C22 ⊆ Out C52C81608+C5:2C8.17D4320,247
C52C8.18D4 = Dic20.C4φ: D4/C2C22 ⊆ Out C52C81608-C5:2C8.18D4320,248
C52C8.19D4 = C20.10M4(2)φ: D4/C2C22 ⊆ Out C52C8804C5:2C8.19D4320,229
C52C8.20D4 = D20.C8φ: D4/C2C22 ⊆ Out C52C81608C5:2C8.20D4320,236
C52C8.21D4 = C20.29M4(2)φ: D4/C2C22 ⊆ Out C52C8804C5:2C8.21D4320,250
C52C8.22D4 = D4.(C5⋊C8)φ: D4/C2C22 ⊆ Out C52C81608C5:2C8.22D4320,270
C52C8.23D4 = D5×D16φ: D4/C4C2 ⊆ Out C52C8804+C5:2C8.23D4320,537
C52C8.24D4 = D163D5φ: D4/C4C2 ⊆ Out C52C81604-C5:2C8.24D4320,539
C52C8.25D4 = D5×SD32φ: D4/C4C2 ⊆ Out C52C8804C5:2C8.25D4320,540
C52C8.26D4 = SD323D5φ: D4/C4C2 ⊆ Out C52C81604C5:2C8.26D4320,543
C52C8.27D4 = D5×Q32φ: D4/C4C2 ⊆ Out C52C81604-C5:2C8.27D4320,544
C52C8.28D4 = D805C2φ: D4/C4C2 ⊆ Out C52C81604+C5:2C8.28D4320,546
C52C8.29D4 = C42.214D10φ: D4/C4C2 ⊆ Out C52C8160C5:2C8.29D4320,686
C52C8.30D4 = C203Q16φ: D4/C4C2 ⊆ Out C52C8320C5:2C8.30D4320,719
C52C8.31D4 = C40.22D4φ: D4/C4C2 ⊆ Out C52C8160C5:2C8.31D4320,782
C52C8.32D4 = C40.43D4φ: D4/C4C2 ⊆ Out C52C8160C5:2C8.32D4320,795
C52C8.33D4 = C40.26D4φ: D4/C4C2 ⊆ Out C52C8320C5:2C8.33D4320,808
C52C8.34D4 = C40.28D4φ: D4/C4C2 ⊆ Out C52C8160C5:2C8.34D4320,818
C52C8.35D4 = D85Dic5φ: D4/C4C2 ⊆ Out C52C8804C5:2C8.35D4320,823
C52C8.36D4 = C20⋊C16φ: D4/C4C2 ⊆ Out C52C8320C5:2C8.36D4320,196
C52C8.37D4 = C42.9F5φ: D4/C4C2 ⊆ Out C52C8804C5:2C8.37D4320,199
C52C8.38D4 = C10.M5(2)φ: D4/C4C2 ⊆ Out C52C8320C5:2C8.38D4320,226
C52C8.39D4 = C40.1C8φ: D4/C4C2 ⊆ Out C52C8804C5:2C8.39D4320,227
C52C8.40D4 = D20.2D4φ: D4/C22C2 ⊆ Out C52C8808-C5:2C8.40D4320,375
C52C8.41D4 = D20.3D4φ: D4/C22C2 ⊆ Out C52C8808+C5:2C8.41D4320,376
C52C8.42D4 = D20.6D4φ: D4/C22C2 ⊆ Out C52C8808+C5:2C8.42D4320,381
C52C8.43D4 = D20.7D4φ: D4/C22C2 ⊆ Out C52C81608-C5:2C8.43D4320,382
C52C8.44D4 = D10⋊Q16φ: D4/C22C2 ⊆ Out C52C8160C5:2C8.44D4320,440
C52C8.45D4 = (C2×C10)⋊Q16φ: D4/C22C2 ⊆ Out C52C8160C5:2C8.45D4320,678
C52C8.46D4 = M4(2).D10φ: D4/C22C2 ⊆ Out C52C8808+C5:2C8.46D4320,826
C52C8.47D4 = M4(2).13D10φ: D4/C22C2 ⊆ Out C52C8808-C5:2C8.47D4320,827
C52C8.48D4 = M4(2).15D10φ: D4/C22C2 ⊆ Out C52C8808+C5:2C8.48D4320,830
C52C8.49D4 = M4(2).16D10φ: D4/C22C2 ⊆ Out C52C81608-C5:2C8.49D4320,831
C52C8.50D4 = M4(2).22D10φ: D4/C22C2 ⊆ Out C52C8804C5:2C8.50D4320,450
C52C8.51D4 = D4016C4φ: D4/C22C2 ⊆ Out C52C8804C5:2C8.51D4320,521
C52C8.52D4 = D84Dic5φ: D4/C22C2 ⊆ Out C52C8804C5:2C8.52D4320,824
C52C8.53D4 = D10⋊C16φ: D4/C22C2 ⊆ Out C52C8160C5:2C8.53D4320,225
C52C8.54D4 = C10.6M5(2)φ: D4/C22C2 ⊆ Out C52C8160C5:2C8.54D4320,249
C52C8.55D4 = C42.196D10φ: trivial image804C5:2C8.55D4320,451
C52C8.56D4 = D4013C4φ: trivial image804C5:2C8.56D4320,522

׿
×
𝔽