Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=D4:3Q8 and Q=C2

Direct product G=NxQ with N=D4:3Q8 and Q=C2
dρLabelID
C2xD4:3Q864C2xD4:3Q8128,2204

Semidirect products G=N:Q with N=D4:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:3Q8:1C2 = D4:SD16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:1C2128,354
D4:3Q8:2C2 = D4:7SD16φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:2C2128,2027
D4:3Q8:3C2 = C42.49C23φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:3C2128,2046
D4:3Q8:4C2 = C42.51C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:4C2128,2048
D4:3Q8:5C2 = C42.480C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:5C2128,2063
D4:3Q8:6C2 = C42.482C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:6C2128,2065
D4:3Q8:7C2 = D4:9SD16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:7C2128,2067
D4:3Q8:8C2 = C42.60C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:8C2128,2078
D4:3Q8:9C2 = C42.498C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:9C2128,2089
D4:3Q8:10C2 = C42.501C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:10C2128,2092
D4:3Q8:11C2 = C42.502C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:11C2128,2093
D4:3Q8:12C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:12C2128,2098
D4:3Q8:13C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:13C2128,2102
D4:3Q8:14C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:14C2128,2108
D4:3Q8:15C2 = D8:6Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:15C2128,2112
D4:3Q8:16C2 = D8:4Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:16C2128,2116
D4:3Q8:17C2 = D8:5Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:17C2128,2121
D4:3Q8:18C2 = C22.81C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:18C2128,2224
D4:3Q8:19C2 = C22.84C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:19C2128,2227
D4:3Q8:20C2 = C22.90C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:20C2128,2233
D4:3Q8:21C2 = C22.92C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:21C2128,2235
D4:3Q8:22C2 = C22.93C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:22C2128,2236
D4:3Q8:23C2 = C22.96C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:23C2128,2239
D4:3Q8:24C2 = C22.100C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:24C2128,2243
D4:3Q8:25C2 = C22.102C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:25C2128,2245
D4:3Q8:26C2 = C22.104C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:26C2128,2247
D4:3Q8:27C2 = C22.105C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:27C2128,2248
D4:3Q8:28C2 = C22.108C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:28C2128,2251
D4:3Q8:29C2 = C23.144C24φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:29C2128,2252
D4:3Q8:30C2 = C22.110C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:30C2128,2253
D4:3Q8:31C2 = C22.111C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:31C2128,2254
D4:3Q8:32C2 = C22.124C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:32C2128,2267
D4:3Q8:33C2 = C22.125C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:33C2128,2268
D4:3Q8:34C2 = C22.130C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:34C2128,2273
D4:3Q8:35C2 = C22.133C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:35C2128,2276
D4:3Q8:36C2 = C22.136C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:36C2128,2279
D4:3Q8:37C2 = C22.137C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:37C2128,2280
D4:3Q8:38C2 = C22.141C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:38C2128,2284
D4:3Q8:39C2 = C22.142C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:39C2128,2285
D4:3Q8:40C2 = C22.143C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:40C2128,2286
D4:3Q8:41C2 = C22.144C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:41C2128,2287
D4:3Q8:42C2 = C22.146C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:42C2128,2289
D4:3Q8:43C2 = C22.148C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:43C2128,2291
D4:3Q8:44C2 = C22.152C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:44C2128,2295
D4:3Q8:45C2 = C22.153C25φ: C2/C1 → C2 ⊆ Out D4:3Q832D4:3Q8:45C2128,2296
D4:3Q8:46C2 = C22.154C25φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8:46C2128,2297
D4:3Q8:47C2 = C22.64C25φ: trivial image32D4:3Q8:47C2128,2207
D4:3Q8:48C2 = Q8xC4oD4φ: trivial image64D4:3Q8:48C2128,2210
D4:3Q8:49C2 = C22.70C25φ: trivial image32D4:3Q8:49C2128,2213

Non-split extensions G=N.Q with N=D4:3Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
D4:3Q8.1C2 = D4:Q16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.1C2128,364
D4:3Q8.2C2 = D4.5SD16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.2C2128,375
D4:3Q8.3C2 = D4:3Q16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.3C2128,376
D4:3Q8.4C2 = D4:5Q16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.4C2128,2031
D4:3Q8.5C2 = D4:6Q16φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.5C2128,2070
D4:3Q8.6C2 = C42.58C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.6C2128,2076
D4:3Q8.7C2 = C42.497C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.7C2128,2088
D4:3Q8.8C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.8C2128,2104
D4:3Q8.9C2 = SD16:4Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.9C2128,2113
D4:3Q8.10C2 = SD16:Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.10C2128,2117
D4:3Q8.11C2 = SD16:3Q8φ: C2/C1 → C2 ⊆ Out D4:3Q864D4:3Q8.11C2128,2120

׿
x
:
Z
F
o
wr
Q
<