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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
31
⋊C
3
and Q=
C
5
Direct product G=N×Q with N=
C
31
⋊C
3
and Q=
C
5
d
ρ
Label
ID
C
5
×C
31
⋊C
3
155
3
C5xC31:C3
465,3
Semidirect products G=N:Q with N=
C
31
⋊C
3
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
31
⋊C
3
⋊C
5
=
C
31
⋊C
15
φ:
C
5
/
C
1
→
C
5
⊆ Out
C
31
⋊C
3
31
15
C31:C3:C5
465,1
×
⋊
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𝔽
○
≀
ℚ
◁