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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=
C
3
×GL
2
(𝔽
3
)
and Q=
C
3
Direct product G=N×Q with N=
C
3
×GL
2
(𝔽
3
)
and Q=
C
3
d
ρ
Label
ID
C
3
2
×GL
2
(𝔽
3
)
72
C3^2xGL(2,3)
432,614
Non-split extensions G=N.Q with N=
C
3
×GL
2
(𝔽
3
)
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×GL
2
(𝔽
3
)).C
3
=
C
9
×GL
2
(𝔽
3
)
φ: trivial image
72
2
(C3xGL(2,3)).C3
432,241
×
⋊
ℤ
𝔽
○
≀
ℚ
◁