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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
×C
17
and Q=
C
3
Direct product G=N×Q with N=
Q
8
×C
17
and Q=
C
3
d
ρ
Label
ID
Q
8
×C
51
408
2
Q8xC51
408,32
Semidirect products G=N:Q with N=
Q
8
×C
17
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(Q
8
×C
17
)⋊C
3
=
C
17
×SL
2
(𝔽
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
Q
8
×C
17
136
2
(Q8xC17):C3
408,14
×
⋊
ℤ
𝔽
○
≀
ℚ
◁