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About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
3
and Q=
C
2
xC
72
Direct product G=NxQ with N=
C
3
and Q=
C
2
xC
72
d
ρ
Label
ID
C
6
xC
72
432
C6xC72
432,209
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
xC
72
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:
1
(C
2
xC
72
) =
S
3
xC
72
φ:
C
2
xC
72
/
C
72
→
C
2
⊆ Aut
C
3
144
2
C3:1(C2xC72)
432,109
C
3
:
2
(C
2
xC
72
) =
C
18
xC
3
:C
8
φ:
C
2
xC
72
/
C
2
xC
36
→
C
2
⊆ Aut
C
3
144
C3:2(C2xC72)
432,126
x
:
Z
F
o
wr
Q
<