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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
37
and Q=
A
4
Direct product G=N×Q with N=
C
37
and Q=
A
4
d
ρ
Label
ID
A
4
×C
37
148
3
A4xC37
444,13
Semidirect products G=N:Q with N=
C
37
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
37
⋊A
4
=
C
37
⋊A
4
φ:
A
4
/
C
2
2
→
C
3
⊆ Aut
C
37
148
3
C37:A4
444,14
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𝔽
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ℚ
◁