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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
×C
17
Direct product G=N×Q with N=
C
3
and Q=
Q
8
×C
17
d
ρ
Label
ID
Q
8
×C
51
408
2
Q8xC51
408,32
Semidirect products G=N:Q with N=
C
3
and Q=
Q
8
×C
17
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(Q
8
×C
17
) =
C
17
×Dic
6
φ:
Q
8
×C
17
/
C
68
→
C
2
⊆ Aut
C
3
408
2
C3:(Q8xC17)
408,20
×
⋊
ℤ
𝔽
○
≀
ℚ
◁