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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=
5
-
1+2
and Q=
C
2
Direct product G=N×Q with N=
5
-
1+2
and Q=
C
2
d
ρ
Label
ID
C
2
×5
-
1+2
50
5
C2xES-(5,1)
250,11
Semidirect products G=N:Q with N=
5
-
1+2
and Q=
C
2
extension
φ:Q→Out N
d
ρ
Label
ID
5
-
1+2
⋊C
2
=
C
25
⋊C
10
φ:
C
2
/
C
1
→
C
2
⊆ Out
5
-
1+2
25
10+
ES-(5,1):C2
250,6
×
⋊
ℤ
𝔽
○
≀
ℚ
◁