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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=
2
-
1+4
and Q=
C
15
Direct product G=N×Q with N=
2
-
1+4
and Q=
C
15
d
ρ
Label
ID
C
15
×2
-
1+4
240
4
C15xES-(2,2)
480,1185
Semidirect products G=N:Q with N=
2
-
1+4
and Q=
C
15
extension
φ:Q→Out N
d
ρ
Label
ID
2
-
1+4
⋊C
15
=
C
3
×2
-
1+4
⋊C
5
φ:
C
15
/
C
3
→
C
5
⊆ Out
2
-
1+4
96
4
ES-(2,2):C15
480,1046
2
-
1+4
⋊
2
C
15
=
C
5
×D
4
.A
4
φ:
C
15
/
C
5
→
C
3
⊆ Out
2
-
1+4
80
4
ES-(2,2):2C15
480,1132
×
⋊
ℤ
𝔽
○
≀
ℚ
◁