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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=
Q
8
2
and Q=
C
3
Direct product G=N×Q with N=
Q
8
2
and Q=
C
3
d
ρ
Label
ID
C
3
×Q
8
2
192
C3xQ8^2
192,1447
Semidirect products G=N:Q with N=
Q
8
2
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(Q
8
2
)⋊
1
C
3
=
Q
8
×SL
2
(𝔽
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
Q
8
2
64
(Q8^2):1C3
192,1007
(Q
8
2
)⋊
2
C
3
=
Q
8
⋊SL
2
(𝔽
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
Q
8
2
64
(Q8^2):2C3
192,1022
×
⋊
ℤ
𝔽
○
≀