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Character table of G6n
(
G
6
n
)
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Algebra
Representation theory
Character table
Irreducible representations of G6n
2026-10-03
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The
conjugacy classes
of
G
6
n
are
C
r
=
{
a
2
r
}
,
D
r
=
{
a
2
r
b
,
a
2
r
b
2
}
,
E
r
=
{
a
2
r
+
1
,
a
2
r
+
1
b
,
a
2
r
+
1
b
2
}
,
(1)
for
0
≤
r
<
n
. With
0
≤
j
<
2
n
and
0
≤
k
<
n
, the
linear character
λ
j
and two-dimensional character
χ
k
have values
λ
j
χ
k
C
r
ξ
2
j
r
2
ξ
2
k
r
D
r
ξ
2
j
r
−
ξ
2
k
r
E
r
ξ
j
(
2
r
+
1
)
0.
(2)
Ancestors
(7)
Irreducible representations of G6n
Character table
Representation theory
Algebra
Area of mathematics
Mathematics
Home
Incoming links
(1)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ii
/
Paper 1
/
19I
/
b
/
iii
/
Solution
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