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

Extensions 1→N→G→Q→1 with N=C8⋊Q8 and Q=C2

Direct product G=N×Q with N=C8⋊Q8 and Q=C2
dρLabelID
C2×C8⋊Q8128C2xC8:Q8128,1893

Semidirect products G=N:Q with N=C8⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊Q8⋊1C2 = C42.6C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:1C2128,392
C8⋊Q8⋊2C2 = C42.7C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:2C2128,393
C8⋊Q8⋊3C2 = C42.10C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:3C2128,396
C8⋊Q8⋊4C2 = M4(2)⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:4C2128,1895
C8⋊Q8⋊5C2 = M4(2)⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:5C2128,1896
C8⋊Q8⋊6C2 = M4(2)⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:6C2128,1897
C8⋊Q8⋊7C2 = M4(2)⋊6Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:7C2128,1898
C8⋊Q8⋊8C2 = C42.390C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:8C2128,1910
C8⋊Q8⋊9C2 = C42.391C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:9C2128,1911
C8⋊Q8⋊10C2 = C42.257D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:10C2128,1912
C8⋊Q8⋊11C2 = C42.258D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:11C2128,1913
C8⋊Q8⋊12C2 = C42.286D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:12C2128,1966
C8⋊Q8⋊13C2 = C42.287D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:13C2128,1967
C8⋊Q8⋊14C2 = C42.288D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:14C2128,1968
C8⋊Q8⋊15C2 = C42.289D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:15C2128,1969
C8⋊Q8⋊16C2 = C42.290D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:16C2128,1970
C8⋊Q8⋊17C2 = C42.291D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:17C2128,1971
C8⋊Q8⋊18C2 = C42.292D4φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:18C2128,1972
C8⋊Q8⋊19C2 = C42.423C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:19C2128,1973
C8⋊Q8⋊20C2 = C42.424C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:20C2128,1974
C8⋊Q8⋊21C2 = C42.425C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:21C2128,1975
C8⋊Q8⋊22C2 = C42.426C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:22C2128,1976
C8⋊Q8⋊23C2 = C42.57C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:23C2128,2075
C8⋊Q8⋊24C2 = C42.58C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:24C2128,2076
C8⋊Q8⋊25C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:25C2128,2077
C8⋊Q8⋊26C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:26C2128,2078
C8⋊Q8⋊27C2 = C42.61C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:27C2128,2079
C8⋊Q8⋊28C2 = C42.62C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:28C2128,2080
C8⋊Q8⋊29C2 = C42.63C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:29C2128,2081
C8⋊Q8⋊30C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:30C2128,2082
C8⋊Q8⋊31C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:31C2128,2116
C8⋊Q8⋊32C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:32C2128,2117
C8⋊Q8⋊33C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:33C2128,2118
C8⋊Q8⋊34C2 = SD16⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:34C2128,2120
C8⋊Q8⋊35C2 = D8⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q864C8:Q8:35C2128,2121
C8⋊Q8⋊36C2 = C42.252D4φ: trivial image64C8:Q8:36C2128,1894
C8⋊Q8⋊37C2 = C42.255D4φ: trivial image64C8:Q8:37C2128,1903
C8⋊Q8⋊38C2 = C42.256D4φ: trivial image64C8:Q8:38C2128,1904

Non-split extensions G=N.Q with N=C8⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊Q8.1C2 = C42.9C23φ: C2/C1 → C2 ⊆ Out C8⋊Q8128C8:Q8.1C2128,395
C8⋊Q8.2C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q8128C8:Q8.2C2128,2119
C8⋊Q8.3C2 = Q16⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊Q8128C8:Q8.3C2128,2122

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁