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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
and Q=
Q
8
2
Direct product G=N×Q with N=
C
3
and Q=
Q
8
2
d
ρ
Label
ID
C
3
×Q
8
2
192
C3xQ8^2
192,1447
Semidirect products G=N:Q with N=
C
3
and Q=
Q
8
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(Q
8
2
) =
Q
8
×Dic
6
φ:
Q
8
2
/
C
4
×Q
8
→
C
2
⊆ Aut
C
3
192
C3:1(Q8^2)
192,1125
C
3
⋊
2
(Q
8
2
) =
Dic
6
⋊
9
Q
8
φ:
Q
8
2
/
C
4
⋊Q
8
→
C
2
⊆ Aut
C
3
192
C3:2(Q8^2)
192,1281
×
⋊
ℤ
𝔽
○
≀