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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
5
×F
5
and Q=
C
2
2
Direct product G=N×Q with N=
C
5
×F
5
and Q=
C
2
2
d
ρ
Label
ID
F
5
×C
2
×C
10
80
F5xC2xC10
400,214
Semidirect products G=N:Q with N=
C
5
×F
5
and Q=
C
2
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×F
5
)⋊C
2
2
=
C
2
×D
5
×F
5
φ:
C
2
2
/
C
2
→
C
2
⊆ Out
C
5
×F
5
40
8+
(C5xF5):C2^2
400,209
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