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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
7
and Q=
C
7
xD
5
Direct product G=NxQ with N=
C
7
and Q=
C
7
xD
5
d
ρ
Label
ID
D
5
xC
7
2
245
D5xC7^2
490,7
Semidirect products G=N:Q with N=
C
7
and Q=
C
7
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:(C
7
xD
5
) =
C
7
xD
35
φ:
C
7
xD
5
/
C
35
→
C
2
⊆ Aut
C
7
70
2
C7:(C7xD5)
490,8
Non-split extensions G=N.Q with N=
C
7
and Q=
C
7
xD
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
.(C
7
xD
5
) =
D
5
xC
49
central extension (φ=1)
245
2
C7.(C7xD5)
490,1
x
:
Z
F
o
wr
Q
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