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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
⋊C
3
and Q=
C
4
Direct product G=N×Q with N=
C
37
⋊C
3
and Q=
C
4
d
ρ
Label
ID
C
4
×C
37
⋊C
3
148
3
C4xC37:C3
444,2
Semidirect products G=N:Q with N=
C
37
⋊C
3
and Q=
C
4
extension
φ:Q→Out N
d
ρ
Label
ID
C
37
⋊C
3
⋊C
4
=
C
37
⋊C
12
φ:
C
4
/
C
1
→
C
4
⊆ Out
C
37
⋊C
3
37
12+
C37:C3:C4
444,7
C
37
⋊C
3
⋊
2
C
4
=
C
74
.C
6
φ:
C
4
/
C
2
→
C
2
⊆ Out
C
37
⋊C
3
148
6-
C37:C3:2C4
444,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁