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

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

Direct product G=N×Q with N=C8⋊D4 and Q=C2
dρLabelID
C2×C8⋊D464C2xC8:D4128,1783

Semidirect products G=N:Q with N=C8⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊D4⋊1C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:1C2128,1787
C8⋊D4⋊2C2 = M4(2)⋊15D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:2C2128,1788
C8⋊D4⋊3C2 = (C2×C8)⋊11D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:3C2128,1789
C8⋊D4⋊4C2 = (C2×C8)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:4C2128,1793
C8⋊D4⋊5C2 = M4(2)⋊16D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:5C2128,1794
C8⋊D4⋊6C2 = M4(2)⋊17D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:6C2128,1795
C8⋊D4⋊7C2 = C42.386C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:7C2128,1906
C8⋊D4⋊8C2 = C42.387C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:8C2128,1907
C8⋊D4⋊9C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:9C2128,1911
C8⋊D4⋊10C2 = C42.259D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:10C2128,1914
C8⋊D4⋊11C2 = C42.260D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:11C2128,1915
C8⋊D4⋊12C2 = C24.126D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:12C2128,1925
C8⋊D4⋊13C2 = C24.127D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:13C2128,1926
C8⋊D4⋊14C2 = C24.129D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:14C2128,1928
C8⋊D4⋊15C2 = C24.130D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:15C2128,1929
C8⋊D4⋊16C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:16C2128,1930
C8⋊D4⋊17C2 = C4.152+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:17C2128,1932
C8⋊D4⋊18C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:18C2128,1933
C8⋊D4⋊19C2 = C4.182+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:19C2128,1935
C8⋊D4⋊20C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:20C2128,1983
C8⋊D4⋊21C2 = C42.302D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:21C2128,1986
C8⋊D4⋊22C2 = C42.304D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:22C2128,1988
C8⋊D4⋊23C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:23C2128,1989
C8⋊D4⋊24C2 = C42.27C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:24C2128,1992
C8⋊D4⋊25C2 = C42.29C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:25C2128,1994
C8⋊D4⋊26C2 = SD16⋊D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:26C2128,1997
C8⋊D4⋊27C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:27C2128,1998
C8⋊D4⋊28C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:28C2128,2000
C8⋊D4⋊29C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:29C2128,2001
C8⋊D4⋊30C2 = D8⋊4D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:30C2128,2004
C8⋊D4⋊31C2 = D8⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:31C2128,2005
C8⋊D4⋊32C2 = Q16⋊4D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:32C2128,2009
C8⋊D4⋊33C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:33C2128,2010
C8⋊D4⋊34C2 = C42.42C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:34C2128,2039
C8⋊D4⋊35C2 = C42.43C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:35C2128,2040
C8⋊D4⋊36C2 = C42.45C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:36C2128,2042
C8⋊D4⋊37C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:37C2128,2045
C8⋊D4⋊38C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:38C2128,2046
C8⋊D4⋊39C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:39C2128,2049
C8⋊D4⋊40C2 = C42.54C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:40C2128,2051
C8⋊D4⋊41C2 = C42.55C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:41C2128,2052
C8⋊D4⋊42C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:42C2128,2054
C8⋊D4⋊43C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:43C2128,2055
C8⋊D4⋊44C2 = C42.473C23φ: C2/C1 → C2 ⊆ Out C8⋊D432C8:D4:44C2128,2056
C8⋊D4⋊45C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:45C2128,2058
C8⋊D4⋊46C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:46C2128,2059
C8⋊D4⋊47C2 = C42.478C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:47C2128,2061
C8⋊D4⋊48C2 = C42.479C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:48C2128,2062
C8⋊D4⋊49C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:49C2128,2065
C8⋊D4⋊50C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:50C2128,2075
C8⋊D4⋊51C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:51C2128,2078
C8⋊D4⋊52C2 = C42.62C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:52C2128,2080
C8⋊D4⋊53C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:53C2128,2082
C8⋊D4⋊54C2 = C42.492C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:54C2128,2083
C8⋊D4⋊55C2 = C42.494C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:55C2128,2085
C8⋊D4⋊56C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4:56C2128,2089
C8⋊D4⋊57C2 = C24.110D4φ: trivial image32C8:D4:57C2128,1786
C8⋊D4⋊58C2 = C42.255D4φ: trivial image64C8:D4:58C2128,1903

Non-split extensions G=N.Q with N=C8⋊D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊D4.1C2 = C42.390C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4.1C2128,1910
C8⋊D4.2C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4.2C2128,1984
C8⋊D4.3C2 = C42.25C23φ: C2/C1 → C2 ⊆ Out C8⋊D464C8:D4.3C2128,1990
C8⋊D4.4C2 = C42.256D4φ: trivial image64C8:D4.4C2128,1904

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁