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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
.C
2
5
and Q=
C
5
Direct product G=N×Q with N=
C
2
.C
2
5
and Q=
C
5
d
ρ
Label
ID
C
5
×C
2
.C
2
5
80
4
C5xC2.C2^5
320,1634
Semidirect products G=N:Q with N=
C
2
.C
2
5
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
C
2
.C
2
5
⋊C
5
=
2
-
1+4
.C
10
φ:
C
5
/
C
1
→
C
5
⊆ Out
C
2
.C
2
5
64
4
C2.C2^5:C5
320,1586
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𝔽
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