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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
GL
3
(𝔽
2
)
and Q=
C
2
Direct product G=N×Q with N=
GL
3
(𝔽
2
)
and Q=
C
2
d
ρ
Label
ID
C
2
×GL
3
(𝔽
2
)
14
3
C2xGL(3,2)
336,209
Semidirect products G=N:Q with N=
GL
3
(𝔽
2
)
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
GL
3
(𝔽
2
)⋊C
2
=
PGL
2
(𝔽
7
)
φ:
C
2
/
C
1
→
C
2
⊆ Out
GL
3
(𝔽
2
)
8
6+
GL(3,2):C2
336,208
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