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

Extensions 1→N→G→Q→1 with N=C22×C22⋊C4 and Q=C2

Direct product G=N×Q with N=C22×C22⋊C4 and Q=C2
dρLabelID
C23×C22⋊C464C2^3xC2^2:C4128,2151

Semidirect products G=N:Q with N=C22×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C22⋊C4)⋊1C2 = C24.50D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):1C2128,170
(C22×C22⋊C4)⋊2C2 = C24.78D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C416(C2^2xC2^2:C4):2C2128,630
(C22×C22⋊C4)⋊3C2 = C2×C24⋊3C4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):3C2128,1009
(C22×C22⋊C4)⋊4C2 = C2×C23.23D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):4C2128,1019
(C22×C22⋊C4)⋊5C2 = C2×C24.3C22φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):5C2128,1024
(C22×C22⋊C4)⋊6C2 = C24.90D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):6C2128,1040
(C22×C22⋊C4)⋊7C2 = C23.203C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):7C2128,1053
(C22×C22⋊C4)⋊8C2 = D4×C22⋊C4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):8C2128,1070
(C22×C22⋊C4)⋊9C2 = C23.240C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):9C2128,1090
(C22×C22⋊C4)⋊10C2 = C2×C23.10D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):10C2128,1118
(C22×C22⋊C4)⋊11C2 = C24.94D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):11C2128,1137
(C22×C22⋊C4)⋊12C2 = C24.97D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):12C2128,1354
(C22×C22⋊C4)⋊13C2 = C22×C23⋊C4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):13C2128,1613
(C22×C22⋊C4)⋊14C2 = C2×C22.11C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):14C2128,2157
(C22×C22⋊C4)⋊15C2 = C2×C23⋊2D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):15C2128,1116
(C22×C22⋊C4)⋊16C2 = C23.304C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):16C2128,1136
(C22×C22⋊C4)⋊17C2 = C24⋊8D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):17C2128,1142
(C22×C22⋊C4)⋊18C2 = C23.311C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):18C2128,1143
(C22×C22⋊C4)⋊19C2 = C24.95D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):19C2128,1144
(C22×C22⋊C4)⋊20C2 = C23.318C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):20C2128,1150
(C22×C22⋊C4)⋊21C2 = C23.324C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):21C2128,1156
(C22×C22⋊C4)⋊22C2 = C23.372C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):22C2128,1204
(C22×C22⋊C4)⋊23C2 = C23.434C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):23C2128,1266
(C22×C22⋊C4)⋊24C2 = C23.439C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):24C2128,1271
(C22×C22⋊C4)⋊25C2 = C24⋊10D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):25C2128,1349
(C22×C22⋊C4)⋊26C2 = C22×C22≀C2φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):26C2128,2163
(C22×C22⋊C4)⋊27C2 = C22×C4⋊D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):27C2128,2164
(C22×C22⋊C4)⋊28C2 = C22×C22.D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):28C2128,2166
(C22×C22⋊C4)⋊29C2 = C22×C4.4D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4):29C2128,2168
(C22×C22⋊C4)⋊30C2 = C2×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):30C2128,2177
(C22×C22⋊C4)⋊31C2 = C2×C22.32C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):31C2128,2182
(C22×C22⋊C4)⋊32C2 = C2×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):32C2128,2195
(C22×C22⋊C4)⋊33C2 = C2×C22.45C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4):33C2128,2201
(C22×C22⋊C4)⋊34C2 = C22.79C25φ: C2/C1 → C2 ⊆ Out C22×C22⋊C416(C2^2xC2^2:C4):34C2128,2222
(C22×C22⋊C4)⋊35C2 = D4×C22×C4φ: trivial image64(C2^2xC2^2:C4):35C2128,2154

Non-split extensions G=N.Q with N=C22×C22⋊C4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C22⋊C4).1C2 = C24.17Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).1C2128,165
(C22×C22⋊C4).2C2 = C23⋊2C42φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).2C2128,169
(C22×C22⋊C4).3C2 = C24.5Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).3C2128,171
(C22×C22⋊C4).4C2 = C24.52D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).4C2128,172
(C22×C22⋊C4).5C2 = C2×C23⋊C8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).5C2128,188
(C22×C22⋊C4).6C2 = C2×C23.9D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).6C2128,471
(C22×C22⋊C4).7C2 = C24.68D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C416(C2^2xC2^2:C4).7C2128,551
(C22×C22⋊C4).8C2 = C23⋊C42φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).8C2128,1005
(C22×C22⋊C4).9C2 = C2×C23.7Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).9C2128,1010
(C22×C22⋊C4).10C2 = C2×C23.34D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).10C2128,1011
(C22×C22⋊C4).11C2 = C24.91D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).11C2128,1047
(C22×C22⋊C4).12C2 = C23.224C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).12C2128,1074
(C22×C22⋊C4).13C2 = C24.96D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).13C2128,1215
(C22×C22⋊C4).14C2 = C25.3C4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C416(C2^2xC2^2:C4).14C2128,194
(C22×C22⋊C4).15C2 = C2×C23.8Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).15C2128,1018
(C22×C22⋊C4).16C2 = C2×C24.C22φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).16C2128,1021
(C22×C22⋊C4).17C2 = C23.194C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).17C2128,1044
(C22×C22⋊C4).18C2 = C2×C23⋊Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).18C2128,1117
(C22×C22⋊C4).19C2 = C2×C23.Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).19C2128,1121
(C22×C22⋊C4).20C2 = C2×C23.11D4φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).20C2128,1122
(C22×C22⋊C4).21C2 = C2×C23.4Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).21C2128,1125
(C22×C22⋊C4).22C2 = C24⋊4Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).22C2128,1169
(C22×C22⋊C4).23C2 = C23.380C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).23C2128,1212
(C22×C22⋊C4).24C2 = C23.382C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).24C2128,1214
(C22×C22⋊C4).25C2 = C23.461C24φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).25C2128,1293
(C22×C22⋊C4).26C2 = C24⋊5Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).26C2128,1358
(C22×C22⋊C4).27C2 = C22×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).27C2128,2165
(C22×C22⋊C4).28C2 = C22×C42⋊2C2φ: C2/C1 → C2 ⊆ Out C22×C22⋊C464(C2^2xC2^2:C4).28C2128,2170
(C22×C22⋊C4).29C2 = C2×C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C22×C22⋊C432(C2^2xC2^2:C4).29C2128,2188
(C22×C22⋊C4).30C2 = C2×C4×C22⋊C4φ: trivial image64(C2^2xC2^2:C4).30C2128,1000
(C22×C22⋊C4).31C2 = C22×C42⋊C2φ: trivial image64(C2^2xC2^2:C4).31C2128,2153

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁