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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
2
×2
-
(1+4)
and Q=
C
5
Direct product G=N×Q with N=
C
2
×2
-
(1+4)
and Q=
C
5
d
ρ
Label
ID
C
10
×2
-
(1+4)
160
C10xES-(2,2)
320,1633
Semidirect products G=N:Q with N=
C
2
×2
-
(1+4)
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
×2
-
(1+4)
)⋊C
5
=
C
2
×2
-
(1+4)
⋊C
5
φ:
C
5
/
C
1
→
C
5
⊆ Out
C
2
×2
-
(1+4)
64
(C2xES-(2,2)):C5
320,1585
×
⋊
ℤ
𝔽
○
≀