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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
19
Direct product G=N×Q with N=
C
3
and Q=
Q
8
×C
19
d
ρ
Label
ID
Q
8
×C
57
456
2
Q8xC57
456,41
Semidirect products G=N:Q with N=
C
3
and Q=
Q
8
×C
19
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(Q
8
×C
19
) =
C
19
×Dic
6
φ:
Q
8
×C
19
/
C
76
→
C
2
⊆ Aut
C
3
456
2
C3:(Q8xC19)
456,29
×
⋊
ℤ
𝔽
○
≀
ℚ
◁