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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
4
.Q
8
Direct product G=NxQ with N=
C
7
and Q=
C
4
.Q
8
d
ρ
Label
ID
C
7
xC
4
.Q
8
224
C7xC4.Q8
224,55
Semidirect products G=N:Q with N=
C
7
and Q=
C
4
.Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
4
.Q
8
) =
C
4
.Dic
14
φ:
C
4
.Q
8
/
C
4
:C
4
→
C
2
⊆ Aut
C
7
224
C7:1(C4.Q8)
224,14
C
7
:
2
(C
4
.Q
8
) =
C
8
:Dic
7
φ:
C
4
.Q
8
/
C
2
xC
8
→
C
2
⊆ Aut
C
7
224
C7:2(C4.Q8)
224,23
x
:
Z
F
o
wr
Q
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