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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
⋊S
4
and Q=
C
2
2
Direct product G=N×Q with N=
C
5
⋊S
4
and Q=
C
2
2
d
ρ
Label
ID
C
2
2
×C
5
⋊S
4
60
C2^2xC5:S4
480,1199
Semidirect products G=N:Q with N=
C
5
⋊S
4
and Q=
C
2
2
extension
φ:Q→Out N
d
ρ
Label
ID
C
5
⋊S
4
⋊C
2
2
=
C
2
×D
5
×S
4
φ:
C
2
2
/
C
2
→
C
2
⊆ Out
C
5
⋊S
4
30
6+
C5:S4:C2^2
480,1193
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