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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=
D
7
and Q=
SL
2
(𝔽
3
)
Direct product G=N×Q with N=
D
7
and Q=
SL
2
(𝔽
3
)
d
ρ
Label
ID
D
7
×SL
2
(𝔽
3
)
56
4-
D7xSL(2,3)
336,132
Semidirect products G=N:Q with N=
D
7
and Q=
SL
2
(𝔽
3
)
extension
φ:Q→Out N
d
ρ
Label
ID
D
7
⋊SL
2
(𝔽
3
) =
Q
8
⋊F
7
φ:
SL
2
(𝔽
3
)
/
Q
8
→
C
3
⊆ Out
D
7
56
12-
D7:SL(2,3)
336,135
×
⋊
ℤ
𝔽
○
≀
ℚ
◁