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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=
D
5
xC
7
:C
3
Direct product G=NxQ with N=
C
2
and Q=
D
5
xC
7
:C
3
d
ρ
Label
ID
C
2
xD
5
xC
7
:C
3
70
6
C2xD5xC7:C3
420,18
Non-split extensions G=N.Q with N=
C
2
and Q=
D
5
xC
7
:C
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.(D
5
xC
7
:C
3
) =
Dic
5
xC
7
:C
3
central extension (φ=1)
140
6
C2.(D5xC7:C3)
420,2
x
:
Z
F
o
wr
Q
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