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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
×C
2
.C
4
2
and Q=
C
3
Direct product G=N×Q with N=
C
5
×C
2
.C
4
2
and Q=
C
3
d
ρ
Label
ID
C
15
×C
2
.C
4
2
480
C15xC2.C4^2
480,198
Semidirect products G=N:Q with N=
C
5
×C
2
.C
4
2
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×C
2
.C
4
2
)⋊C
3
=
C
5
×C
2
3
.
3
A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
×C
2
.C
4
2
60
6
(C5xC2.C4^2):C3
480,74
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⋊
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𝔽
○
≀
ℚ
◁