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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=
ASL
2
(𝔽
3
)
and Q=
C
2
Direct product G=N×Q with N=
ASL
2
(𝔽
3
)
and Q=
C
2
d
ρ
Label
ID
C
2
×ASL
2
(𝔽
3
)
18
8+
C2xASL(2,3)
432,735
Semidirect products G=N:Q with N=
ASL
2
(𝔽
3
)
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
ASL
2
(𝔽
3
)⋊C
2
=
AGL
2
(𝔽
3
)
φ:
C
2
/
C
1
→
C
2
⊆ Out
ASL
2
(𝔽
3
)
9
8+
ASL(2,3):C2
432,734
×
⋊
ℤ
𝔽
○
≀
ℚ
◁