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

Extensions 1→N→G→Q→1 with N=D4⋊2Q8 and Q=C2

Direct product G=N×Q with N=D4⋊2Q8 and Q=C2
dρLabelID
C2×D4⋊2Q864C2xD4:2Q8128,1803

Semidirect products G=N:Q with N=D4⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊2Q8⋊1C2 = C42.219D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:1C2128,1809
D4⋊2Q8⋊2C2 = C42.448D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:2C2128,1811
D4⋊2Q8⋊3C2 = C42.20C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:3C2128,1813
D4⋊2Q8⋊4C2 = C42.23C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:4C2128,1816
D4⋊2Q8⋊5C2 = C42.227D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:5C2128,1841
D4⋊2Q8⋊6C2 = C42.234D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:6C2128,1848
D4⋊2Q8⋊7C2 = C42.352C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:7C2128,1850
D4⋊2Q8⋊8C2 = C42.359C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:8C2128,1857
D4⋊2Q8⋊9C2 = C42.287D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:9C2128,1967
D4⋊2Q8⋊10C2 = C42.290D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:10C2128,1970
D4⋊2Q8⋊11C2 = C42.423C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:11C2128,1973
D4⋊2Q8⋊12C2 = C42.426C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:12C2128,1976
D4⋊2Q8⋊13C2 = C42.300D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:13C2128,1984
D4⋊2Q8⋊14C2 = C42.301D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:14C2128,1985
D4⋊2Q8⋊15C2 = C4.2- 1+4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:15C2128,1989
D4⋊2Q8⋊16C2 = C42.30C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:16C2128,1995
D4⋊2Q8⋊17C2 = C42.41C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:17C2128,2038
D4⋊2Q8⋊18C2 = C42.46C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:18C2128,2043
D4⋊2Q8⋊19C2 = C42.474C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:19C2128,2057
D4⋊2Q8⋊20C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:20C2128,2063
D4⋊2Q8⋊21C2 = C42.59C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:21C2128,2077
D4⋊2Q8⋊22C2 = C42.64C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:22C2128,2082
D4⋊2Q8⋊23C2 = C42.495C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:23C2128,2086
D4⋊2Q8⋊24C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:24C2128,2089
D4⋊2Q8⋊25C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:25C2128,2098
D4⋊2Q8⋊26C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:26C2128,2103
D4⋊2Q8⋊27C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:27C2128,2105
D4⋊2Q8⋊28C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:28C2128,2116
D4⋊2Q8⋊29C2 = D4⋊2SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:29C2128,361
D4⋊2Q8⋊30C2 = Q8⋊2SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:30C2128,363
D4⋊2Q8⋊31C2 = C42.195C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:31C2128,366
D4⋊2Q8⋊32C2 = D4.SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:32C2128,367
D4⋊2Q8⋊33C2 = D4.2SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:33C2128,409
D4⋊2Q8⋊34C2 = C42.248C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:34C2128,429
D4⋊2Q8⋊35C2 = C42.279D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:35C2128,1959
D4⋊2Q8⋊36C2 = C42.285D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:36C2128,1965
D4⋊2Q8⋊37C2 = C42.294D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:37C2128,1978
D4⋊2Q8⋊38C2 = C42.295D4φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:38C2128,1979
D4⋊2Q8⋊39C2 = D4⋊7SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q832D4:2Q8:39C2128,2027
D4⋊2Q8⋊40C2 = C42.468C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:40C2128,2035
D4⋊2Q8⋊41C2 = D4⋊9SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:41C2128,2067
D4⋊2Q8⋊42C2 = C42.490C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:42C2128,2073
D4⋊2Q8⋊43C2 = C42.501C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:43C2128,2092
D4⋊2Q8⋊44C2 = Q8⋊8SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:44C2128,2094
D4⋊2Q8⋊45C2 = D8⋊6Q8φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8:45C2128,2112
D4⋊2Q8⋊46C2 = C42.447D4φ: trivial image64D4:2Q8:46C2128,1808
D4⋊2Q8⋊47C2 = C42.222D4φ: trivial image32D4:2Q8:47C2128,1833
D4⋊2Q8⋊48C2 = C42.450D4φ: trivial image64D4:2Q8:48C2128,1838

Non-split extensions G=N.Q with N=D4⋊2Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4⋊2Q8.1C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.1C2128,2101
D4⋊2Q8.2C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.2C2128,2117
D4⋊2Q8.3C2 = SD16⋊3Q8φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.3C2128,2120
D4⋊2Q8.4C2 = D4⋊Q16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.4C2128,364
D4⋊2Q8.5C2 = D4.3Q16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.5C2128,369
D4⋊2Q8.6C2 = C42.199C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.6C2128,370
D4⋊2Q8.7C2 = C8⋊11SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.7C2128,403
D4⋊2Q8.8C2 = D4.1Q16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.8C2128,407
D4⋊2Q8.9C2 = D4.Q16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.9C2128,415
D4⋊2Q8.10C2 = C8⋊3SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.10C2128,423
D4⋊2Q8.11C2 = C8.8SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.11C2128,427
D4⋊2Q8.12C2 = C42.254C23φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.12C2128,435
D4⋊2Q8.13C2 = Q8×SD16φ: C2/C1 → C2 ⊆ Out D4⋊2Q864D4:2Q8.13C2128,2111

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁