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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=
S
3
×C
2
4
and Q=
C
5
Direct product G=N×Q with N=
S
3
×C
2
4
and Q=
C
5
d
ρ
Label
ID
S
3
×C
2
3
×C
10
240
S3xC2^3xC10
480,1211
Semidirect products G=N:Q with N=
S
3
×C
2
4
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×C
2
4
)⋊C
5
=
S
3
×C
2
4
⋊C
5
φ:
C
5
/
C
1
→
C
5
⊆ Out
S
3
×C
2
4
30
10+
(S3xC2^4):C5
480,1196
×
⋊
ℤ
𝔽
○
≀
ℚ
◁