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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
and Q=
C
57
Direct product G=N×Q with N=
Q
8
and Q=
C
57
d
ρ
Label
ID
Q
8
×C
57
456
2
Q8xC57
456,41
Semidirect products G=N:Q with N=
Q
8
and Q=
C
57
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
⋊C
57
=
C
19
×SL
2
(𝔽
3
)
φ:
C
57
/
C
19
→
C
3
⊆ Out
Q
8
152
2
Q8:C57
456,22
×
⋊
ℤ
𝔽
○
≀
ℚ
◁