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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
2
3
xC
4
Direct product G=NxQ with N=
C
7
and Q=
C
2
3
xC
4
d
ρ
Label
ID
C
2
3
xC
28
224
C2^3xC28
224,189
Semidirect products G=N:Q with N=
C
7
and Q=
C
2
3
xC
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
:
1
(C
2
3
xC
4
) =
D
7
xC
2
2
xC
4
φ:
C
2
3
xC
4
/
C
2
2
xC
4
→
C
2
⊆ Aut
C
7
112
C7:1(C2^3xC4)
224,175
C
7
:
2
(C
2
3
xC
4
) =
C
2
3
xDic
7
φ:
C
2
3
xC
4
/
C
2
4
→
C
2
⊆ Aut
C
7
224
C7:2(C2^3xC4)
224,187
x
:
Z
F
o
wr
Q
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