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

Extensions 1→N→G→Q→1 with N=C8⋊2D4 and Q=C2

Direct product G=N×Q with N=C8⋊2D4 and Q=C2
dρLabelID
C2×C8⋊2D464C2xC8:2D4128,1784

Semidirect products G=N:Q with N=C8⋊2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2D4⋊1C2 = D8⋊D4φ: C2/C1 → C2 ⊆ Out C8⋊2D4168+C8:2D4:1C2128,922
C8⋊2D4⋊2C2 = M4(2)⋊14D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:2C2128,1787
C8⋊2D4⋊3C2 = (C2×C8)⋊12D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:3C2128,1790
C8⋊2D4⋊4C2 = (C2×C8)⋊13D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:4C2128,1792
C8⋊2D4⋊5C2 = M4(2)⋊16D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:5C2128,1794
C8⋊2D4⋊6C2 = C42.388C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:6C2128,1908
C8⋊2D4⋊7C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:7C2128,1911
C8⋊2D4⋊8C2 = C42.261D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:8C2128,1916
C8⋊2D4⋊9C2 = C24.125D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:9C2128,1924
C8⋊2D4⋊10C2 = C24.127D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:10C2128,1926
C8⋊2D4⋊11C2 = C24.130D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:11C2128,1929
C8⋊2D4⋊12C2 = C4.2+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:12C2128,1930
C8⋊2D4⋊13C2 = C4.142+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:13C2128,1931
C8⋊2D4⋊14C2 = C4.192+ 1+4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:14C2128,1936
C8⋊2D4⋊15C2 = C42.299D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:15C2128,1983
C8⋊2D4⋊16C2 = C42.301D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:16C2128,1985
C8⋊2D4⋊17C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:17C2128,1989
C8⋊2D4⋊18C2 = C42.26C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:18C2128,1991
C8⋊2D4⋊19C2 = D8⋊9D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:19C2128,1996
C8⋊2D4⋊20C2 = Q16⋊10D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:20C2128,2003
C8⋊2D4⋊21C2 = SD16⋊1D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:21C2128,2006
C8⋊2D4⋊22C2 = SD16⋊2D4φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:22C2128,2007
C8⋊2D4⋊23C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:23C2128,2038
C8⋊2D4⋊24C2 = C42.44C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:24C2128,2041
C8⋊2D4⋊25C2 = C42.53C23φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:25C2128,2050
C8⋊2D4⋊26C2 = C42.56C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:26C2128,2053
C8⋊2D4⋊27C2 = C42.471C23φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:27C2128,2054
C8⋊2D4⋊28C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out C8⋊2D432C8:2D4:28C2128,2057
C8⋊2D4⋊29C2 = C42.475C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:29C2128,2058
C8⋊2D4⋊30C2 = C42.481C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:30C2128,2064
C8⋊2D4⋊31C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:31C2128,2077
C8⋊2D4⋊32C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:32C2128,2079
C8⋊2D4⋊33C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:33C2128,2086
C8⋊2D4⋊34C2 = C42.496C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4:34C2128,2087
C8⋊2D4⋊35C2 = C24.110D4φ: trivial image32C8:2D4:35C2128,1786
C8⋊2D4⋊36C2 = C42.255D4φ: trivial image64C8:2D4:36C2128,1903

Non-split extensions G=N.Q with N=C8⋊2D4 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊2D4.1C2 = C23.D8φ: C2/C1 → C2 ⊆ Out C8⋊2D4168+C8:2D4.1C2128,71
C8⋊2D4.2C2 = C23.SD16φ: C2/C1 → C2 ⊆ Out C8⋊2D4168+C8:2D4.2C2128,73
C8⋊2D4.3C2 = M5(2).C22φ: C2/C1 → C2 ⊆ Out C8⋊2D4168+C8:2D4.3C2128,970
C8⋊2D4.4C2 = C42.385C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4.4C2128,1905
C8⋊2D4.5C2 = C42.260D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4.5C2128,1915
C8⋊2D4.6C2 = C42.304D4φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4.6C2128,1988
C8⋊2D4.7C2 = C42.30C23φ: C2/C1 → C2 ⊆ Out C8⋊2D464C8:2D4.7C2128,1995

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁