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

Extensions 1→N→G→Q→1 with N=C8⋊4Q8 and Q=C2

Direct product G=N×Q with N=C8⋊4Q8 and Q=C2
dρLabelID
C2×C8⋊4Q8128C2xC8:4Q8128,1691

Semidirect products G=N:Q with N=C8⋊4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊4Q8⋊1C2 = C8⋊SD16φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:1C2128,418
C8⋊4Q8⋊2C2 = C8⋊2SD16φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:2C2128,420
C8⋊4Q8⋊3C2 = C42.507C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:3C2128,2098
C8⋊4Q8⋊4C2 = C42.508C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:4C2128,2099
C8⋊4Q8⋊5C2 = C42.509C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:5C2128,2100
C8⋊4Q8⋊6C2 = C42.510C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:6C2128,2101
C8⋊4Q8⋊7C2 = C42.511C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:7C2128,2102
C8⋊4Q8⋊8C2 = C42.512C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:8C2128,2103
C8⋊4Q8⋊9C2 = C42.513C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:9C2128,2104
C8⋊4Q8⋊10C2 = C42.514C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:10C2128,2105
C8⋊4Q8⋊11C2 = C42.516C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:11C2128,2107
C8⋊4Q8⋊12C2 = C42.517C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:12C2128,2108
C8⋊4Q8⋊13C2 = C42.518C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:13C2128,2109
C8⋊4Q8⋊14C2 = D8⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:14C2128,2116
C8⋊4Q8⋊15C2 = SD16⋊Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:15C2128,2117
C8⋊4Q8⋊16C2 = SD16⋊2Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:16C2128,2118
C8⋊4Q8⋊17C2 = SD16⋊3Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:17C2128,2120
C8⋊4Q8⋊18C2 = D8⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:18C2128,2121
C8⋊4Q8⋊19C2 = C42.72C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:19C2128,2129
C8⋊4Q8⋊20C2 = C42.73C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:20C2128,2130
C8⋊4Q8⋊21C2 = C42.74C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:21C2128,2131
C8⋊4Q8⋊22C2 = C42.75C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:22C2128,2132
C8⋊4Q8⋊23C2 = C42.531C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:23C2128,2133
C8⋊4Q8⋊24C2 = C42.532C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:24C2128,2134
C8⋊4Q8⋊25C2 = C42.533C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:25C2128,2135
C8⋊4Q8⋊26C2 = C42.249C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:26C2128,430
C8⋊4Q8⋊27C2 = C42.253C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:27C2128,434
C8⋊4Q8⋊28C2 = C8⋊12SD16φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:28C2128,314
C8⋊4Q8⋊29C2 = D4.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:29C2128,317
C8⋊4Q8⋊30C2 = C8⋊9SD16φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:30C2128,322
C8⋊4Q8⋊31C2 = C8⋊M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:31C2128,324
C8⋊4Q8⋊32C2 = C42.287C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:32C2128,1693
C8⋊4Q8⋊33C2 = M4(2)⋊9Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:33C2128,1694
C8⋊4Q8⋊34C2 = Q8×M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:34C2128,1695
C8⋊4Q8⋊35C2 = C42.292C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:35C2128,1699
C8⋊4Q8⋊36C2 = C42.293C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:36C2128,1700
C8⋊4Q8⋊37C2 = C42.294C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:37C2128,1701
C8⋊4Q8⋊38C2 = D4⋊6M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:38C2128,1702
C8⋊4Q8⋊39C2 = C42.302C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:39C2128,1715
C8⋊4Q8⋊40C2 = Q8.4M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:40C2128,1716
C8⋊4Q8⋊41C2 = C42.696C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:41C2128,1717
C8⋊4Q8⋊42C2 = C42.304C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:42C2128,1718
C8⋊4Q8⋊43C2 = C42.305C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:43C2128,1719
C8⋊4Q8⋊44C2 = C42.698C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:44C2128,1721
C8⋊4Q8⋊45C2 = D4⋊8M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:45C2128,1722
C8⋊4Q8⋊46C2 = C42.307C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:46C2128,1724
C8⋊4Q8⋊47C2 = C42.308C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:47C2128,1725
C8⋊4Q8⋊48C2 = C42.309C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:48C2128,1726
C8⋊4Q8⋊49C2 = C42.310C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q864C8:4Q8:49C2128,1727
C8⋊4Q8⋊50C2 = C42.286C23φ: trivial image64C8:4Q8:50C2128,1692
C8⋊4Q8⋊51C2 = C42.290C23φ: trivial image64C8:4Q8:51C2128,1697
C8⋊4Q8⋊52C2 = C42.291C23φ: trivial image64C8:4Q8:52C2128,1698

Non-split extensions G=N.Q with N=C8⋊4Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
C8⋊4Q8.1C2 = C8.SD16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.1C2128,422
C8⋊4Q8.2C2 = C8⋊Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.2C2128,424
C8⋊4Q8.3C2 = C8⋊2Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.3C2128,426
C8⋊4Q8.4C2 = C8.3Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.4C2128,428
C8⋊4Q8.5C2 = C42.515C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.5C2128,2106
C8⋊4Q8.6C2 = Q16⋊4Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.6C2128,2119
C8⋊4Q8.7C2 = Q16⋊5Q8φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.7C2128,2122
C8⋊4Q8.8C2 = C42.251C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.8C2128,432
C8⋊4Q8.9C2 = C42.255C23φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.9C2128,436
C8⋊4Q8.10C2 = C8.17Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.10C2128,70
C8⋊4Q8.11C2 = C8⋊9Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.11C2128,316
C8⋊4Q8.12C2 = Q8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.12C2128,319
C8⋊4Q8.13C2 = C8⋊6Q16φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.13C2128,323
C8⋊4Q8.14C2 = C8.M4(2)φ: C2/C1 → C2 ⊆ Out C8⋊4Q8128C8:4Q8.14C2128,325

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁