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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
2
xF
8
and Q=
C
2
Direct product G=NxQ with N=
C
2
2
xF
8
and Q=
C
2
d
ρ
Label
ID
C
2
3
xF
8
56
C2^3xF8
448,1392
Semidirect products G=N:Q with N=
C
2
2
xF
8
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
xF
8
):C
2
=
D
4
xF
8
φ:
C
2
/
C
1
→
C
2
⊆ Out
C
2
2
xF
8
28
14+
(C2^2xF8):C2
448,1363
Non-split extensions G=N.Q with N=
C
2
2
xF
8
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
xF
8
).C
2
=
C
2
xC
4
xF
8
φ: trivial image
56
(C2^2xF8).C2
448,1362
x
:
Z
F
o
wr
Q
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