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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
6
and Q=
C
3
xC
21
Direct product G=NxQ with N=
C
6
and Q=
C
3
xC
21
d
ρ
Label
ID
C
3
2
xC
42
378
C3^2xC42
378,60
Non-split extensions G=N.Q with N=
C
6
and Q=
C
3
xC
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.
1
(C
3
xC
21
) =
C
14
xHe
3
central extension (φ=1)
126
3
C6.1(C3xC21)
378,45
C
6
.
2
(C
3
xC
21
) =
C
14
x3
-
1+2
central extension (φ=1)
126
3
C6.2(C3xC21)
378,46
x
:
Z
F
o
wr
Q
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