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

Extensions 1→N→G→Q→1 with N=C4:C4 and Q=C22

Direct product G=NxQ with N=C4:C4 and Q=C22
dρLabelID
C4:C4xC22352C4:C4xC22352,151

Semidirect products G=N:Q with N=C4:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4:C4:1C22 = C11xD4:C4φ: C22/C11 → C2 ⊆ Out C4:C4176C4:C4:1C22352,51
C4:C4:2C22 = C11xC4:D4φ: C22/C11 → C2 ⊆ Out C4:C4176C4:C4:2C22352,156
C4:C4:3C22 = C11xC22:Q8φ: C22/C11 → C2 ⊆ Out C4:C4176C4:C4:3C22352,157
C4:C4:4C22 = C11xC22.D4φ: C22/C11 → C2 ⊆ Out C4:C4176C4:C4:4C22352,158
C4:C4:5C22 = C11xC42:2C2φ: C22/C11 → C2 ⊆ Out C4:C4176C4:C4:5C22352,161
C4:C4:6C22 = C11xC42:C2φ: trivial image176C4:C4:6C22352,152
C4:C4:7C22 = D4xC44φ: trivial image176C4:C4:7C22352,153

Non-split extensions G=N.Q with N=C4:C4 and Q=C22
extensionφ:Q→Out NdρLabelID
C4:C4.1C22 = C11xQ8:C4φ: C22/C11 → C2 ⊆ Out C4:C4352C4:C4.1C22352,52
C4:C4.2C22 = C11xC4.Q8φ: C22/C11 → C2 ⊆ Out C4:C4352C4:C4.2C22352,55
C4:C4.3C22 = C11xC2.D8φ: C22/C11 → C2 ⊆ Out C4:C4352C4:C4.3C22352,56
C4:C4.4C22 = C11xC42.C2φ: C22/C11 → C2 ⊆ Out C4:C4352C4:C4.4C22352,160
C4:C4.5C22 = C11xC4:Q8φ: C22/C11 → C2 ⊆ Out C4:C4352C4:C4.5C22352,163
C4:C4.6C22 = Q8xC44φ: trivial image352C4:C4.6C22352,154

׿
x
:
Z
F
o
wr
Q
<