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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=
C
13
⋊C
8
Direct product G=N×Q with N=
C
3
and Q=
C
13
⋊C
8
d
ρ
Label
ID
C
3
×C
13
⋊C
8
312
4
C3xC13:C8
312,13
Semidirect products G=N:Q with N=
C
3
and Q=
C
13
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
13
⋊C
8
) =
C
39
⋊C
8
φ:
C
13
⋊C
8
/
Dic
13
→
C
2
⊆ Aut
C
3
312
4
C3:(C13:C8)
312,14
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𝔽
○
≀
ℚ
◁