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

Extensions 1→N→G→Q→1 with N=C3.A4 and Q=C12

Direct product G=NxQ with N=C3.A4 and Q=C12
dρLabelID
C12xC3.A4108C12xC3.A4432,331

Semidirect products G=N:Q with N=C3.A4 and Q=C12
extensionφ:Q→Out NdρLabelID
C3.A4:C12 = C62.Dic3φ: C12/C2 → C6 ⊆ Out C3.A4366-C3.A4:C12432,249
C3.A4:2C12 = C4xC9:A4φ: C12/C4 → C3 ⊆ Out C3.A41083C3.A4:2C12432,326
C3.A4:3C12 = C4xC32.A4φ: C12/C4 → C3 ⊆ Out C3.A4363C3.A4:3C12432,332
C3.A4:4C12 = C3xC6.S4φ: C12/C6 → C2 ⊆ Out C3.A4366C3.A4:4C12432,250
C3.A4:5C12 = A4xC36φ: trivial image1083C3.A4:5C12432,325


׿
x
:
Z
F
o
wr
Q
<