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

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

Direct product G=N×Q with N=D4.7D4 and Q=C2
dρLabelID
C2×D4.7D464C2xD4.7D4128,1733

Semidirect products G=N:Q with N=D4.7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.7D4⋊1C2 = C24.123D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:1C2128,1922
D4.7D4⋊2C2 = C24.124D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:2C2128,1923
D4.7D4⋊3C2 = C42.268D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:3C2128,1942
D4.7D4⋊4C2 = C42.270D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:4C2128,1944
D4.7D4⋊5C2 = SD16⋊10D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:5C2128,2014
D4.7D4⋊6C2 = D8⋊13D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:6C2128,2015
D4.7D4⋊7C2 = SD16⋊11D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:7C2128,2016
D4.7D4⋊8C2 = Q16⋊12D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:8C2128,2017
D4.7D4⋊9C2 = C42.461C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:9C2128,2028
D4.7D4⋊10C2 = C42.465C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:10C2128,2032
D4.7D4⋊11C2 = C42.467C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:11C2128,2034
D4.7D4⋊12C2 = C42.469C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:12C2128,2036
D4.7D4⋊13C2 = C24.104D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:13C2128,1737
D4.7D4⋊14C2 = C24.106D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:14C2128,1739
D4.7D4⋊15C2 = D4.(C2×D4)φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:15C2128,1741
D4.7D4⋊16C2 = Q8.(C2×D4)φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:16C2128,1743
D4.7D4⋊17C2 = (C2×D4)⋊21D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:17C2128,1744
D4.7D4⋊18C2 = (C2×Q8)⋊17D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:18C2128,1745
D4.7D4⋊19C2 = C42.229D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:19C2128,1843
D4.7D4⋊20C2 = C42.358C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:20C2128,1856
D4.7D4⋊21C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:21C2128,1857
D4.7D4⋊22C2 = C24.129D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:22C2128,1928
D4.7D4⋊23C2 = C24.130D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:23C2128,1929
D4.7D4⋊24C2 = C4.162+ 1+4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:24C2128,1933
D4.7D4⋊25C2 = C4.182+ 1+4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:25C2128,1935
D4.7D4⋊26C2 = C4.192+ 1+4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:26C2128,1936
D4.7D4⋊27C2 = C42.274D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:27C2128,1948
D4.7D4⋊28C2 = C42.277D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:28C2128,1951
D4.7D4⋊29C2 = C42.408C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:29C2128,1954
D4.7D4⋊30C2 = C42.410C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:30C2128,1956
D4.7D4⋊31C2 = C42.411C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:31C2128,1957
D4.7D4⋊32C2 = SD16⋊6D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:32C2128,1998
D4.7D4⋊33C2 = D8⋊10D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:33C2128,1999
D4.7D4⋊34C2 = SD16⋊7D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:34C2128,2000
D4.7D4⋊35C2 = SD16⋊8D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:35C2128,2001
D4.7D4⋊36C2 = Q16⋊9D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:36C2128,2002
D4.7D4⋊37C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:37C2128,2003
D4.7D4⋊38C2 = D8⋊5D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:38C2128,2005
D4.7D4⋊39C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:39C2128,2007
D4.7D4⋊40C2 = SD16⋊3D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:40C2128,2008
D4.7D4⋊41C2 = Q16⋊5D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:41C2128,2010
D4.7D4⋊42C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:42C2128,2043
D4.7D4⋊43C2 = C42.48C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:43C2128,2045
D4.7D4⋊44C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:44C2128,2046
D4.7D4⋊45C2 = C42.50C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:45C2128,2047
D4.7D4⋊46C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:46C2128,2048
D4.7D4⋊47C2 = C42.52C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:47C2128,2049
D4.7D4⋊48C2 = C42.472C23φ: C2/C1 → C2 ⊆ Out D4.7D432D4.7D4:48C2128,2055
D4.7D4⋊49C2 = C42.476C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:49C2128,2059
D4.7D4⋊50C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:50C2128,2063
D4.7D4⋊51C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4:51C2128,2065
D4.7D4⋊52C2 = C24.103D4φ: trivial image32D4.7D4:52C2128,1734
D4.7D4⋊53C2 = C42.384D4φ: trivial image64D4.7D4:53C2128,1834

Non-split extensions G=N.Q with N=D4.7D4 and Q=C2
extensionφ:Q→Out NdρLabelID
D4.7D4.1C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4.1C2128,1848
D4.7D4.2C2 = C42.354C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4.2C2128,1852
D4.7D4.3C2 = C42.409C23φ: C2/C1 → C2 ⊆ Out D4.7D464D4.7D4.3C2128,1955
D4.7D4.4C2 = C42.451D4φ: trivial image64D4.7D4.4C2128,1839

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁