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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
52
and Q=
C
3
2
Direct product G=N×Q with N=
C
52
and Q=
C
3
2
d
ρ
Label
ID
C
3
×C
156
468
C3xC156
468,28
Semidirect products G=N:Q with N=
C
52
and Q=
C
3
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
52
⋊C
3
2
=
C
12
×C
13
⋊C
3
φ:
C
3
2
/
C
3
→
C
3
⊆ Aut
C
52
156
3
C52:C3^2
468,22
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𝔽
○
≀
ℚ
◁