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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
2
×D
5
and Q=
C
3
2
Direct product G=N×Q with N=
C
2
2
×D
5
and Q=
C
3
2
d
ρ
Label
ID
D
5
×C
6
2
180
D5xC6^2
360,157
Semidirect products G=N:Q with N=
C
2
2
×D
5
and Q=
C
3
2
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
2
×D
5
)⋊C
3
2
=
C
3
×D
5
×A
4
φ:
C
3
2
/
C
3
→
C
3
⊆ Out
C
2
2
×D
5
60
6
(C2^2xD5):C3^2
360,142
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⋊
ℤ
𝔽
○
≀
ℚ
◁