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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
2
≀C
2
and Q=
C
3
Direct product G=N×Q with N=
C
5
×C
2
2
≀C
2
and Q=
C
3
d
ρ
Label
ID
C
15
×C
2
2
≀C
2
120
C15xC2^2wrC2
480,925
Semidirect products G=N:Q with N=
C
5
×C
2
2
≀C
2
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×C
2
2
≀C
2
)⋊C
3
=
C
5
×C
2
4
⋊C
6
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
5
×C
2
2
≀C
2
40
6
(C5xC2^2wrC2):C3
480,656
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𝔽
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ℚ
◁