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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=
3
-
 1+2
and Q=
D
5
Direct product G=N×Q with N=
3
-
 1+2
and Q=
D
5
d
ρ
Label
ID
D
5
×3
-
 1+2
45
6
D5xES-(3,1)
270,7
Semidirect products G=N:Q with N=
3
-
 1+2
and Q=
D
5
extension
φ:Q→Out N
d
ρ
Label
ID
3
-
 1+2
⋊D
5
=
D
45
⋊C
3
φ:
D
5
/
C
5
→
C
2
⊆ Out
3
-
 1+2
45
6+
ES-(3,1):D5
270,15
×
⋊
ℤ
𝔽
○
≀
ℚ
◁