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

Extensions 1→N→G→Q→1 with N=C2xC6 and Q=D10

Direct product G=NxQ with N=C2xC6 and Q=D10
dρLabelID
D5xC22xC6120D5xC2^2xC6240,205

Semidirect products G=N:Q with N=C2xC6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2xC6):1D10 = S3xC5:D4φ: D10/C5 → C22 ⊆ Aut C2xC6604(C2xC6):1D10240,150
(C2xC6):2D10 = D10:D6φ: D10/C5 → C22 ⊆ Aut C2xC6604+(C2xC6):2D10240,151
(C2xC6):3D10 = D4xD15φ: D10/C5 → C22 ⊆ Aut C2xC6604+(C2xC6):3D10240,179
(C2xC6):4D10 = C3xD4xD5φ: D10/D5 → C2 ⊆ Aut C2xC6604(C2xC6):4D10240,159
(C2xC6):5D10 = D5xC3:D4φ: D10/D5 → C2 ⊆ Aut C2xC6604(C2xC6):5D10240,149
(C2xC6):6D10 = C22xS3xD5φ: D10/D5 → C2 ⊆ Aut C2xC660(C2xC6):6D10240,202
(C2xC6):7D10 = C6xC5:D4φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6):7D10240,164
(C2xC6):8D10 = C2xC15:7D4φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6):8D10240,184
(C2xC6):9D10 = C23xD15φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6):9D10240,207

Non-split extensions G=N.Q with N=C2xC6 and Q=D10
extensionφ:Q→Aut NdρLabelID
(C2xC6).1D10 = Dic5.D6φ: D10/C5 → C22 ⊆ Aut C2xC61204(C2xC6).1D10240,140
(C2xC6).2D10 = C30.C23φ: D10/C5 → C22 ⊆ Aut C2xC61204-(C2xC6).2D10240,141
(C2xC6).3D10 = D4:2D15φ: D10/C5 → C22 ⊆ Aut C2xC61204-(C2xC6).3D10240,180
(C2xC6).4D10 = C3xD4:2D5φ: D10/D5 → C2 ⊆ Aut C2xC61204(C2xC6).4D10240,160
(C2xC6).5D10 = Dic3xDic5φ: D10/D5 → C2 ⊆ Aut C2xC6240(C2xC6).5D10240,25
(C2xC6).6D10 = D10:Dic3φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).6D10240,26
(C2xC6).7D10 = D6:Dic5φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).7D10240,27
(C2xC6).8D10 = D30:4C4φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).8D10240,28
(C2xC6).9D10 = C30.Q8φ: D10/D5 → C2 ⊆ Aut C2xC6240(C2xC6).9D10240,29
(C2xC6).10D10 = Dic15:5C4φ: D10/D5 → C2 ⊆ Aut C2xC6240(C2xC6).10D10240,30
(C2xC6).11D10 = C6.Dic10φ: D10/D5 → C2 ⊆ Aut C2xC6240(C2xC6).11D10240,31
(C2xC6).12D10 = C2xD5xDic3φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).12D10240,139
(C2xC6).13D10 = C2xS3xDic5φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).13D10240,142
(C2xC6).14D10 = Dic3.D10φ: D10/D5 → C2 ⊆ Aut C2xC61204(C2xC6).14D10240,143
(C2xC6).15D10 = C2xD30.C2φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).15D10240,144
(C2xC6).16D10 = C2xC15:D4φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).16D10240,145
(C2xC6).17D10 = C2xC3:D20φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).17D10240,146
(C2xC6).18D10 = C2xC5:D12φ: D10/D5 → C2 ⊆ Aut C2xC6120(C2xC6).18D10240,147
(C2xC6).19D10 = C2xC15:Q8φ: D10/D5 → C2 ⊆ Aut C2xC6240(C2xC6).19D10240,148
(C2xC6).20D10 = C3xC4oD20φ: D10/C10 → C2 ⊆ Aut C2xC61202(C2xC6).20D10240,158
(C2xC6).21D10 = C4xDic15φ: D10/C10 → C2 ⊆ Aut C2xC6240(C2xC6).21D10240,72
(C2xC6).22D10 = C30.4Q8φ: D10/C10 → C2 ⊆ Aut C2xC6240(C2xC6).22D10240,73
(C2xC6).23D10 = C60:5C4φ: D10/C10 → C2 ⊆ Aut C2xC6240(C2xC6).23D10240,74
(C2xC6).24D10 = D30:3C4φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6).24D10240,75
(C2xC6).25D10 = C30.38D4φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6).25D10240,80
(C2xC6).26D10 = C2xDic30φ: D10/C10 → C2 ⊆ Aut C2xC6240(C2xC6).26D10240,175
(C2xC6).27D10 = C2xC4xD15φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6).27D10240,176
(C2xC6).28D10 = C2xD60φ: D10/C10 → C2 ⊆ Aut C2xC6120(C2xC6).28D10240,177
(C2xC6).29D10 = D60:11C2φ: D10/C10 → C2 ⊆ Aut C2xC61202(C2xC6).29D10240,178
(C2xC6).30D10 = C22xDic15φ: D10/C10 → C2 ⊆ Aut C2xC6240(C2xC6).30D10240,183
(C2xC6).31D10 = C12xDic5central extension (φ=1)240(C2xC6).31D10240,40
(C2xC6).32D10 = C3xC10.D4central extension (φ=1)240(C2xC6).32D10240,41
(C2xC6).33D10 = C3xC4:Dic5central extension (φ=1)240(C2xC6).33D10240,42
(C2xC6).34D10 = C3xD10:C4central extension (φ=1)120(C2xC6).34D10240,43
(C2xC6).35D10 = C3xC23.D5central extension (φ=1)120(C2xC6).35D10240,48
(C2xC6).36D10 = C6xDic10central extension (φ=1)240(C2xC6).36D10240,155
(C2xC6).37D10 = D5xC2xC12central extension (φ=1)120(C2xC6).37D10240,156
(C2xC6).38D10 = C6xD20central extension (φ=1)120(C2xC6).38D10240,157
(C2xC6).39D10 = C2xC6xDic5central extension (φ=1)240(C2xC6).39D10240,163

׿
x
:
Z
F
o
wr
Q
<