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

Extensions 1→N→G→Q→1 with N=C4⋊D8 and Q=C2

Direct product G=N×Q with N=C4⋊D8 and Q=C2
dρLabelID
C2×C4⋊D864C2xC4:D8128,1761

Semidirect products G=N:Q with N=C4⋊D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D8⋊1C2 = D4⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:1C2128,351
C4⋊D8⋊2C2 = Q8⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:2C2128,353
C4⋊D8⋊3C2 = C42.185C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:3C2128,356
C4⋊D8⋊4C2 = D4⋊3D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:4C2128,357
C4⋊D8⋊5C2 = C8⋊7D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:5C2128,399
C4⋊D8⋊6C2 = C8⋊2D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:6C2128,419
C4⋊D8⋊7C2 = C42.263D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:7C2128,1937
C4⋊D8⋊8C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:8C2128,1944
C4⋊D8⋊9C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:9C2128,1977
C4⋊D8⋊10C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:10C2128,1979
C4⋊D8⋊11C2 = D4×D8φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:11C2128,2011
C4⋊D8⋊12C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:12C2128,2016
C4⋊D8⋊13C2 = D4⋊4D8φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:13C2128,2026
C4⋊D8⋊14C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:14C2128,2037
C4⋊D8⋊15C2 = Q8⋊4D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:15C2128,2090
C4⋊D8⋊16C2 = Q8⋊5D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:16C2128,2123
C4⋊D8⋊17C2 = C42.211D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:17C2128,1768
C4⋊D8⋊18C2 = C42.444D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:18C2128,1770
C4⋊D8⋊19C2 = C42.14C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:19C2128,1773
C4⋊D8⋊20C2 = C42.18C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:20C2128,1777
C4⋊D8⋊21C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:21C2128,1841
C4⋊D8⋊22C2 = C42.233D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:22C2128,1847
C4⋊D8⋊23C2 = C42.353C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:23C2128,1851
C4⋊D8⋊24C2 = C42.356C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:24C2128,1854
C4⋊D8⋊25C2 = C42.272D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:25C2128,1946
C4⋊D8⋊26C2 = C42.275D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:26C2128,1949
C4⋊D8⋊27C2 = C42.406C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:27C2128,1952
C4⋊D8⋊28C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:28C2128,1956
C4⋊D8⋊29C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:29C2128,1983
C4⋊D8⋊30C2 = C42.301D4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:30C2128,1985
C4⋊D8⋊31C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:31C2128,1989
C4⋊D8⋊32C2 = C42.26C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:32C2128,1991
C4⋊D8⋊33C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:33C2128,1996
C4⋊D8⋊34C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:34C2128,2000
C4⋊D8⋊35C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:35C2128,2004
C4⋊D8⋊36C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:36C2128,2006
C4⋊D8⋊37C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:37C2128,2041
C4⋊D8⋊38C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:38C2128,2050
C4⋊D8⋊39C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C4⋊D832C4:D8:39C2128,2057
C4⋊D8⋊40C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:40C2128,2064
C4⋊D8⋊41C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:41C2128,2098
C4⋊D8⋊42C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:42C2128,2129
C4⋊D8⋊43C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:43C2128,2131
C4⋊D8⋊44C2 = C42.533C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8:44C2128,2135
C4⋊D8⋊45C2 = C42.443D4φ: trivial image64C4:D8:45C2128,1767
C4⋊D8⋊46C2 = C42.221D4φ: trivial image32C4:D8:46C2128,1832
C4⋊D8⋊47C2 = C42.450D4φ: trivial image64C4:D8:47C2128,1838

Non-split extensions G=N.Q with N=C4⋊D8 and Q=C2
extensionφ:Q→Out NdρLabelID
C4⋊D8.1C2 = D4⋊SD16φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.1C2128,354
C4⋊D8.2C2 = Q8⋊3D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.2C2128,359
C4⋊D8.3C2 = C42.189C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.3C2128,360
C4⋊D8.4C2 = C8⋊8D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.4C2128,397
C4⋊D8.5C2 = D4.2SD16φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.5C2128,409
C4⋊D8.6C2 = D4.2D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.6C2128,413
C4⋊D8.7C2 = C8⋊D8φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.7C2128,417
C4⋊D8.8C2 = C42.248C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.8C2128,429
C4⋊D8.9C2 = C42.252C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.9C2128,433
C4⋊D8.10C2 = C42.502C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.10C2128,2093
C4⋊D8.11C2 = C42.528C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.11C2128,2126
C4⋊D8.12C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.12C2128,2102
C4⋊D8.13C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out C4⋊D864C4:D8.13C2128,2105

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁