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

Extensions 1→N→G→Q→1 with N=C8⋊7D4 and Q=C2

Direct product G=N×Q with N=C8⋊7D4 and Q=C2
dρLabelID
C2×C8⋊7D464C2xC8:7D4128,1780

Semidirect products G=N:Q with N=C8⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊7D4⋊1C2 = D8⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:1C2128,916
C8⋊7D4⋊2C2 = C16⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:2C2128,947
C8⋊7D4⋊3C2 = C23⋊3D8φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:3C2128,1918
C8⋊7D4⋊4C2 = C24.124D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:4C2128,1923
C8⋊7D4⋊5C2 = C4.142+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:5C2128,1931
C8⋊7D4⋊6C2 = C4.182+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:6C2128,1935
C8⋊7D4⋊7C2 = C42.293D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:7C2128,1977
C8⋊7D4⋊8C2 = C42.26C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:8C2128,1991
C8⋊7D4⋊9C2 = D4×D8φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:9C2128,2011
C8⋊7D4⋊10C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:10C2128,2017
C8⋊7D4⋊11C2 = D4⋊4D8φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:11C2128,2026
C8⋊7D4⋊12C2 = C42.462C23φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:12C2128,2029
C8⋊7D4⋊13C2 = C42.466C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:13C2128,2033
C8⋊7D4⋊14C2 = C42.470C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:14C2128,2037
C8⋊7D4⋊15C2 = D4⋊5D8φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:15C2128,2066
C8⋊7D4⋊16C2 = D8⋊8D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:16C2128,918
C8⋊7D4⋊17C2 = C24.121D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:17C2128,1920
C8⋊7D4⋊18C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:18C2128,1930
C8⋊7D4⋊19C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:19C2128,1979
C8⋊7D4⋊20C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:20C2128,1989
C8⋊7D4⋊21C2 = D8⋊12D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:21C2128,2012
C8⋊7D4⋊22C2 = Q16⋊13D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:22C2128,2019
C8⋊7D4⋊23C2 = C42.488C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:23C2128,2071
C8⋊7D4⋊24C2 = C42.490C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:24C2128,2073
C8⋊7D4⋊25C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:25C2128,1787
C8⋊7D4⋊26C2 = M4(2)⋊16D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:26C2128,1794
C8⋊7D4⋊27C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:27C2128,1911
C8⋊7D4⋊28C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:28C2128,1912
C8⋊7D4⋊29C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:29C2128,1997
C8⋊7D4⋊30C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:30C2128,2000
C8⋊7D4⋊31C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:31C2128,2077
C8⋊7D4⋊32C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:32C2128,2079
C8⋊7D4⋊33C2 = C16⋊D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:33C2128,950
C8⋊7D4⋊34C2 = (C2×C8)⋊12D4φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:34C2128,1790
C8⋊7D4⋊35C2 = (C2×C8)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:35C2128,1793
C8⋊7D4⋊36C2 = C42.388C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:36C2128,1908
C8⋊7D4⋊37C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:37C2128,2040
C8⋊7D4⋊38C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4:38C2128,2041
C8⋊7D4⋊39C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:39C2128,2050
C8⋊7D4⋊40C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4:40C2128,2051
C8⋊7D4⋊41C2 = C24.144D4φ: trivial image32C8:7D4:41C2128,1782
C8⋊7D4⋊42C2 = C42.366D4φ: trivial image64C8:7D4:42C2128,1901

Non-split extensions G=N.Q with N=C8⋊7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊7D4.1C2 = C22.SD32φ: C2/C1 → C2 ⊆ Out C8⋊7D432C8:7D4.1C2128,79
C8⋊7D4.2C2 = C23.12SD16φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.2C2128,81
C8⋊7D4.3C2 = Q16⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.3C2128,917
C8⋊7D4.4C2 = C16⋊8D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.4C2128,949
C8⋊7D4.5C2 = C22.D16φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.5C2128,964
C8⋊7D4.6C2 = C23.49D8φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.6C2128,965
C8⋊7D4.7C2 = C42.298D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.7C2128,1982
C8⋊7D4.8C2 = C42.29C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.8C2128,1994
C8⋊7D4.9C2 = C23.19D8φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.9C2128,966
C8⋊7D4.10C2 = C16⋊2D4φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.10C2128,952
C8⋊7D4.11C2 = C42.387C23φ: C2/C1 → C2 ⊆ Out C8⋊7D464C8:7D4.11C2128,1907
C8⋊7D4.12C2 = C42.308D4φ: trivial image64C8:7D4.12C2128,1900

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁