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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
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⋊
.
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≀
Extensions
1→N→G→Q→1 with N=
C
2
and Q=
GL
3
(𝔽
2
)
Direct product G=N×Q with N=
C
2
and Q=
GL
3
(𝔽
2
)
d
ρ
Label
ID
C
2
×GL
3
(𝔽
2
)
14
3
C2xGL(3,2)
336,209
Non-split extensions G=N.Q with N=
C
2
and Q=
GL
3
(𝔽
2
)
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.GL
3
(𝔽
2
) =
SL
2
(𝔽
7
)
central stem extension (φ=1)
16
4
C2.GL(3,2)
336,114
×
⋊
ℤ
𝔽
○
≀
ℚ
◁