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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
2
and Q=
C
6
xC
30
Direct product G=NxQ with N=
C
2
and Q=
C
6
xC
30
d
ρ
Label
ID
C
2
xC
6
xC
30
360
C2xC6xC30
360,162
Non-split extensions G=N.Q with N=
C
2
and Q=
C
6
xC
30
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
6
xC
30
) =
D
4
xC
3
xC
15
central stem extension (φ=1)
180
C2.1(C6xC30)
360,116
C
2
.
2
(C
6
xC
30
) =
Q
8
xC
3
xC
15
central stem extension (φ=1)
360
C2.2(C6xC30)
360,117
x
:
Z
F
o
wr
Q
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