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

Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C23

Direct product G=N×Q with N=C2×C6 and Q=C23
dρLabelID
C24×C696C2^4xC696,231

Semidirect products G=N:Q with N=C2×C6 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊C23 = C2×S3×D4φ: C23/C2 → C22 ⊆ Aut C2×C624(C2xC6):C2^396,209
(C2×C6)⋊2C23 = D4×C2×C6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6):2C2^396,221
(C2×C6)⋊3C23 = C22×C3⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6):3C2^396,219
(C2×C6)⋊4C23 = S3×C24φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6):4C2^396,230

Non-split extensions G=N.Q with N=C2×C6 and Q=C23
extensionφ:Q→Aut NdρLabelID
(C2×C6).1C23 = C2×D4⋊2S3φ: C23/C2 → C22 ⊆ Aut C2×C648(C2xC6).1C2^396,210
(C2×C6).2C23 = D4⋊6D6φ: C23/C2 → C22 ⊆ Aut C2×C6244(C2xC6).2C2^396,211
(C2×C6).3C23 = S3×C4○D4φ: C23/C2 → C22 ⊆ Aut C2×C6244(C2xC6).3C2^396,215
(C2×C6).4C23 = D4○D12φ: C23/C2 → C22 ⊆ Aut C2×C6244+(C2xC6).4C2^396,216
(C2×C6).5C23 = Q8○D12φ: C23/C2 → C22 ⊆ Aut C2×C6484-(C2xC6).5C2^396,217
(C2×C6).6C23 = C6×C4○D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).6C2^396,223
(C2×C6).7C23 = C3×2+ 1+4φ: C23/C22 → C2 ⊆ Aut C2×C6244(C2xC6).7C2^396,224
(C2×C6).8C23 = C3×2- 1+4φ: C23/C22 → C2 ⊆ Aut C2×C6484(C2xC6).8C2^396,225
(C2×C6).9C23 = C4×Dic6φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).9C2^396,75
(C2×C6).10C23 = C12⋊2Q8φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).10C2^396,76
(C2×C6).11C23 = C12.6Q8φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).11C2^396,77
(C2×C6).12C23 = S3×C42φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).12C2^396,78
(C2×C6).13C23 = C42⋊2S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).13C2^396,79
(C2×C6).14C23 = C4×D12φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).14C2^396,80
(C2×C6).15C23 = C4⋊D12φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).15C2^396,81
(C2×C6).16C23 = C42⋊7S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).16C2^396,82
(C2×C6).17C23 = C42⋊3S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).17C2^396,83
(C2×C6).18C23 = C23.16D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).18C2^396,84
(C2×C6).19C23 = Dic3.D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).19C2^396,85
(C2×C6).20C23 = C23.8D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).20C2^396,86
(C2×C6).21C23 = S3×C22⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C624(C2xC6).21C2^396,87
(C2×C6).22C23 = Dic3⋊4D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).22C2^396,88
(C2×C6).23C23 = D6⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C624(C2xC6).23C2^396,89
(C2×C6).24C23 = C23.9D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).24C2^396,90
(C2×C6).25C23 = Dic3⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).25C2^396,91
(C2×C6).26C23 = C23.11D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).26C2^396,92
(C2×C6).27C23 = C23.21D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).27C2^396,93
(C2×C6).28C23 = Dic6⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).28C2^396,94
(C2×C6).29C23 = C12⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).29C2^396,95
(C2×C6).30C23 = Dic3.Q8φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).30C2^396,96
(C2×C6).31C23 = C4.Dic6φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).31C2^396,97
(C2×C6).32C23 = S3×C4⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).32C2^396,98
(C2×C6).33C23 = C4⋊C4⋊7S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).33C2^396,99
(C2×C6).34C23 = Dic3⋊5D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).34C2^396,100
(C2×C6).35C23 = D6.D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).35C2^396,101
(C2×C6).36C23 = C12⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).36C2^396,102
(C2×C6).37C23 = D6⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).37C2^396,103
(C2×C6).38C23 = C4.D12φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).38C2^396,104
(C2×C6).39C23 = C4⋊C4⋊S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).39C2^396,105
(C2×C6).40C23 = C2×C4×Dic3φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).40C2^396,129
(C2×C6).41C23 = C2×Dic3⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).41C2^396,130
(C2×C6).42C23 = C12.48D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).42C2^396,131
(C2×C6).43C23 = C2×C4⋊Dic3φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).43C2^396,132
(C2×C6).44C23 = C23.26D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).44C2^396,133
(C2×C6).45C23 = C2×D6⋊C4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).45C2^396,134
(C2×C6).46C23 = C4×C3⋊D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).46C2^396,135
(C2×C6).47C23 = C23.28D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).47C2^396,136
(C2×C6).48C23 = C12⋊7D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).48C2^396,137
(C2×C6).49C23 = D4×Dic3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).49C2^396,141
(C2×C6).50C23 = C23.23D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).50C2^396,142
(C2×C6).51C23 = C23.12D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).51C2^396,143
(C2×C6).52C23 = C23⋊2D6φ: C23/C22 → C2 ⊆ Aut C2×C624(C2xC6).52C2^396,144
(C2×C6).53C23 = D6⋊3D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).53C2^396,145
(C2×C6).54C23 = C23.14D6φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).54C2^396,146
(C2×C6).55C23 = C12⋊3D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).55C2^396,147
(C2×C6).56C23 = Dic3⋊Q8φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).56C2^396,151
(C2×C6).57C23 = Q8×Dic3φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).57C2^396,152
(C2×C6).58C23 = D6⋊3Q8φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).58C2^396,153
(C2×C6).59C23 = C12.23D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).59C2^396,154
(C2×C6).60C23 = C2×C6.D4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).60C2^396,159
(C2×C6).61C23 = C24⋊4S3φ: C23/C22 → C2 ⊆ Aut C2×C624(C2xC6).61C2^396,160
(C2×C6).62C23 = C22×Dic6φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).62C2^396,205
(C2×C6).63C23 = S3×C22×C4φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).63C2^396,206
(C2×C6).64C23 = C22×D12φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).64C2^396,207
(C2×C6).65C23 = C2×C4○D12φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).65C2^396,208
(C2×C6).66C23 = C2×S3×Q8φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).66C2^396,212
(C2×C6).67C23 = C2×Q8⋊3S3φ: C23/C22 → C2 ⊆ Aut C2×C648(C2xC6).67C2^396,213
(C2×C6).68C23 = Q8.15D6φ: C23/C22 → C2 ⊆ Aut C2×C6484(C2xC6).68C2^396,214
(C2×C6).69C23 = C23×Dic3φ: C23/C22 → C2 ⊆ Aut C2×C696(C2xC6).69C2^396,218
(C2×C6).70C23 = C6×C22⋊C4central extension (φ=1)48(C2xC6).70C2^396,162
(C2×C6).71C23 = C6×C4⋊C4central extension (φ=1)96(C2xC6).71C2^396,163
(C2×C6).72C23 = C3×C42⋊C2central extension (φ=1)48(C2xC6).72C2^396,164
(C2×C6).73C23 = D4×C12central extension (φ=1)48(C2xC6).73C2^396,165
(C2×C6).74C23 = Q8×C12central extension (φ=1)96(C2xC6).74C2^396,166
(C2×C6).75C23 = C3×C22≀C2central extension (φ=1)24(C2xC6).75C2^396,167
(C2×C6).76C23 = C3×C4⋊D4central extension (φ=1)48(C2xC6).76C2^396,168
(C2×C6).77C23 = C3×C22⋊Q8central extension (φ=1)48(C2xC6).77C2^396,169
(C2×C6).78C23 = C3×C22.D4central extension (φ=1)48(C2xC6).78C2^396,170
(C2×C6).79C23 = C3×C4.4D4central extension (φ=1)48(C2xC6).79C2^396,171
(C2×C6).80C23 = C3×C42.C2central extension (φ=1)96(C2xC6).80C2^396,172
(C2×C6).81C23 = C3×C42⋊2C2central extension (φ=1)48(C2xC6).81C2^396,173
(C2×C6).82C23 = C3×C4⋊1D4central extension (φ=1)48(C2xC6).82C2^396,174
(C2×C6).83C23 = C3×C4⋊Q8central extension (φ=1)96(C2xC6).83C2^396,175
(C2×C6).84C23 = Q8×C2×C6central extension (φ=1)96(C2xC6).84C2^396,222

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁