Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀

Extensions 1→N→G→Q→1 with N=C10 and Q=C22≀C2

Direct product G=N×Q with N=C10 and Q=C22≀C2
dρLabelID
C10×C22≀C280C10xC2^2wrC2320,1523

Semidirect products G=N:Q with N=C10 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C10⋊1C22≀C2 = C2×C22⋊D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C1080C10:1C2^2wrC2320,1159
C10⋊2C22≀C2 = C2×C23⋊D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10:2C2^2wrC2320,1471
C10⋊3C22≀C2 = C2×C24⋊2D5φ: C22≀C2/C24 → C2 ⊆ Aut C1080C10:3C2^2wrC2320,1512

Non-split extensions G=N.Q with N=C10 and Q=C22≀C2
extensionφ:Q→Aut NdρLabelID
C10.1C22≀C2 = (C2×Dic5)⋊Q8φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10320C10.1C2^2wrC2320,283
C10.2C22≀C2 = (C2×C4)⋊9D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.2C2^2wrC2320,292
C10.3C22≀C2 = D10⋊3(C4⋊C4)φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.3C2^2wrC2320,295
C10.4C22≀C2 = (C2×C20)⋊5D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.4C2^2wrC2320,298
C10.5C22≀C2 = (C2×Dic5)⋊3D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.5C2^2wrC2320,299
C10.6C22≀C2 = (C2×C4).20D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.6C2^2wrC2320,300
C10.7C22≀C2 = D20.31D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C1080C10.7C2^2wrC2320,358
C10.8C22≀C2 = D20⋊13D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C1080C10.8C2^2wrC2320,359
C10.9C22≀C2 = D20.32D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.9C2^2wrC2320,360
C10.10C22≀C2 = D20⋊14D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.10C2^2wrC2320,361
C10.11C22≀C2 = Dic10⋊14D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.11C2^2wrC2320,365
C10.12C22≀C2 = C22⋊Dic20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.12C2^2wrC2320,366
C10.13C22≀C2 = C23⋊D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10408+C10.13C2^2wrC2320,368
C10.14C22≀C2 = C23.5D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10808-C10.14C2^2wrC2320,369
C10.15C22≀C2 = D20.1D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10808-C10.15C2^2wrC2320,373
C10.16C22≀C2 = D20⋊1D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10408+C10.16C2^2wrC2320,374
C10.17C22≀C2 = D20.4D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10808-C10.17C2^2wrC2320,379
C10.18C22≀C2 = D20.5D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10808+C10.18C2^2wrC2320,380
C10.19C22≀C2 = D4⋊D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C1080C10.19C2^2wrC2320,400
C10.20C22≀C2 = D20.8D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C1080C10.20C2^2wrC2320,403
C10.21C22≀C2 = D4⋊3D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.21C2^2wrC2320,408
C10.22C22≀C2 = D4.D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.22C2^2wrC2320,410
C10.23C22≀C2 = Q8⋊2D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.23C2^2wrC2320,433
C10.24C22≀C2 = D10⋊4Q16φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.24C2^2wrC2320,435
C10.25C22≀C2 = Q8.D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.25C2^2wrC2320,437
C10.26C22≀C2 = D20⋊4D4φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.26C2^2wrC2320,438
C10.27C22≀C2 = D4⋊4D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10404+C10.27C2^2wrC2320,449
C10.28C22≀C2 = M4(2)⋊D10φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10804C10.28C2^2wrC2320,452
C10.29C22≀C2 = D4.9D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10804-C10.29C2^2wrC2320,453
C10.30C22≀C2 = D4.10D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10804C10.30C2^2wrC2320,454
C10.31C22≀C2 = C24.47D10φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.31C2^2wrC2320,577
C10.32C22≀C2 = C23.45D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.32C2^2wrC2320,585
C10.33C22≀C2 = C23⋊2D20φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.33C2^2wrC2320,587
C10.34C22≀C2 = C24.16D10φ: C22≀C2/C22⋊C4 → C2 ⊆ Aut C10160C10.34C2^2wrC2320,588
C10.35C22≀C2 = C24.46D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.35C2^2wrC2320,573
C10.36C22≀C2 = C23⋊Dic10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.36C2^2wrC2320,574
C10.37C22≀C2 = C24.48D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10.37C2^2wrC2320,582
C10.38C22≀C2 = C24.12D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.38C2^2wrC2320,583
C10.39C22≀C2 = C24.14D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.39C2^2wrC2320,586
C10.40C22≀C2 = (C2×C4)⋊Dic10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10320C10.40C2^2wrC2320,606
C10.41C22≀C2 = D10⋊5(C4⋊C4)φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.41C2^2wrC2320,616
C10.42C22≀C2 = (C2×C4)⋊3D20φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.42C2^2wrC2320,618
C10.43C22≀C2 = C24⋊2D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10404C10.43C2^2wrC2320,659
C10.44C22≀C2 = D20⋊16D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10.44C2^2wrC2320,663
C10.45C22≀C2 = D20⋊17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.45C2^2wrC2320,664
C10.46C22≀C2 = Dic10⋊17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.46C2^2wrC2320,667
C10.47C22≀C2 = D20.36D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10.47C2^2wrC2320,673
C10.48C22≀C2 = D20.37D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.48C2^2wrC2320,674
C10.49C22≀C2 = Dic10.37D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.49C2^2wrC2320,677
C10.50C22≀C2 = C22⋊C4⋊D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10804C10.50C2^2wrC2320,680
C10.51C22≀C2 = C42⋊5D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10804C10.51C2^2wrC2320,688
C10.52C22≀C2 = D20.14D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10804C10.52C2^2wrC2320,689
C10.53C22≀C2 = D20⋊5D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10404C10.53C2^2wrC2320,704
C10.54C22≀C2 = D20.15D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10804C10.54C2^2wrC2320,722
C10.55C22≀C2 = D20⋊D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10.55C2^2wrC2320,783
C10.56C22≀C2 = Dic10⋊D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.56C2^2wrC2320,785
C10.57C22≀C2 = D10⋊6SD16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C1080C10.57C2^2wrC2320,796
C10.58C22≀C2 = D10⋊8SD16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.58C2^2wrC2320,797
C10.59C22≀C2 = D20⋊7D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.59C2^2wrC2320,799
C10.60C22≀C2 = Dic10.16D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.60C2^2wrC2320,800
C10.61C22≀C2 = D10⋊5Q16φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.61C2^2wrC2320,813
C10.62C22≀C2 = D20.17D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.62C2^2wrC2320,814
C10.63C22≀C2 = D20⋊18D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10408+C10.63C2^2wrC2320,825
C10.64C22≀C2 = D20.38D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10808-C10.64C2^2wrC2320,828
C10.65C22≀C2 = D20.39D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10808+C10.65C2^2wrC2320,829
C10.66C22≀C2 = D20.40D4φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10808-C10.66C2^2wrC2320,832
C10.67C22≀C2 = C24.18D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.67C2^2wrC2320,847
C10.68C22≀C2 = C24.21D10φ: C22≀C2/C2×D4 → C2 ⊆ Aut C10160C10.68C2^2wrC2320,850
C10.69C22≀C2 = C24.62D10φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.69C2^2wrC2320,837
C10.70C22≀C2 = C24.65D10φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.70C2^2wrC2320,840
C10.71C22≀C2 = (C2×C10)⋊8D8φ: C22≀C2/C24 → C2 ⊆ Aut C1080C10.71C2^2wrC2320,844
C10.72C22≀C2 = (C5×D4).31D4φ: C22≀C2/C24 → C2 ⊆ Aut C1080C10.72C2^2wrC2320,845
C10.73C22≀C2 = C24.20D10φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.73C2^2wrC2320,849
C10.74C22≀C2 = (C5×Q8)⋊13D4φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.74C2^2wrC2320,854
C10.75C22≀C2 = (C2×C10)⋊8Q16φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.75C2^2wrC2320,855
C10.76C22≀C2 = C10.C22≀C2φ: C22≀C2/C24 → C2 ⊆ Aut C10320C10.76C2^2wrC2320,856
C10.77C22≀C2 = (C22×D5)⋊Q8φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.77C2^2wrC2320,858
C10.78C22≀C2 = (C5×D4)⋊14D4φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.78C2^2wrC2320,865
C10.79C22≀C2 = (C5×D4).32D4φ: C22≀C2/C24 → C2 ⊆ Aut C10160C10.79C2^2wrC2320,866
C10.80C22≀C2 = 2+ 1+4⋊D5φ: C22≀C2/C24 → C2 ⊆ Aut C10408+C10.80C2^2wrC2320,868
C10.81C22≀C2 = 2+ 1+4.D5φ: C22≀C2/C24 → C2 ⊆ Aut C10808-C10.81C2^2wrC2320,869
C10.82C22≀C2 = 2+ 1+4.2D5φ: C22≀C2/C24 → C2 ⊆ Aut C10808-C10.82C2^2wrC2320,870
C10.83C22≀C2 = 2+ 1+4⋊2D5φ: C22≀C2/C24 → C2 ⊆ Aut C10408+C10.83C2^2wrC2320,871
C10.84C22≀C2 = 2- 1+4⋊2D5φ: C22≀C2/C24 → C2 ⊆ Aut C10808+C10.84C2^2wrC2320,872
C10.85C22≀C2 = 2- 1+4.2D5φ: C22≀C2/C24 → C2 ⊆ Aut C10808-C10.85C2^2wrC2320,873
C10.86C22≀C2 = C25.2D5φ: C22≀C2/C24 → C2 ⊆ Aut C1080C10.86C2^2wrC2320,874
C10.87C22≀C2 = C5×C24⋊3C4central extension (φ=1)80C10.87C2^2wrC2320,880
C10.88C22≀C2 = C5×C23.8Q8central extension (φ=1)160C10.88C2^2wrC2320,886
C10.89C22≀C2 = C5×C23.23D4central extension (φ=1)160C10.89C2^2wrC2320,887
C10.90C22≀C2 = C5×C23⋊2D4central extension (φ=1)160C10.90C2^2wrC2320,893
C10.91C22≀C2 = C5×C23⋊Q8central extension (φ=1)160C10.91C2^2wrC2320,894
C10.92C22≀C2 = C5×C23.10D4central extension (φ=1)160C10.92C2^2wrC2320,895
C10.93C22≀C2 = C5×C23.78C23central extension (φ=1)320C10.93C2^2wrC2320,896
C10.94C22≀C2 = C5×C22⋊D8central extension (φ=1)80C10.94C2^2wrC2320,948
C10.95C22≀C2 = C5×Q8⋊D4central extension (φ=1)160C10.95C2^2wrC2320,949
C10.96C22≀C2 = C5×D4⋊D4central extension (φ=1)160C10.96C2^2wrC2320,950
C10.97C22≀C2 = C5×C22⋊SD16central extension (φ=1)80C10.97C2^2wrC2320,951
C10.98C22≀C2 = C5×C22⋊Q16central extension (φ=1)160C10.98C2^2wrC2320,952
C10.99C22≀C2 = C5×D4.7D4central extension (φ=1)160C10.99C2^2wrC2320,953
C10.100C22≀C2 = C5×D4⋊4D4central extension (φ=1)404C10.100C2^2wrC2320,954
C10.101C22≀C2 = C5×D4.8D4central extension (φ=1)804C10.101C2^2wrC2320,955
C10.102C22≀C2 = C5×D4.9D4central extension (φ=1)804C10.102C2^2wrC2320,956
C10.103C22≀C2 = C5×D4.10D4central extension (φ=1)804C10.103C2^2wrC2320,957
C10.104C22≀C2 = C5×C2≀C22central extension (φ=1)404C10.104C2^2wrC2320,958
C10.105C22≀C2 = C5×C23.7D4central extension (φ=1)804C10.105C2^2wrC2320,959

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁