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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
×D
5
and Q=
C
8
Direct product G=N×Q with N=
S
3
×D
5
and Q=
C
8
d
ρ
Label
ID
S
3
×C
8
×D
5
120
4
S3xC8xD5
480,319
Semidirect products G=N:Q with N=
S
3
×D
5
and Q=
C
8
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×D
5
)⋊C
8
=
S
3
×D
5
⋊C
8
φ:
C
8
/
C
4
→
C
2
⊆ Out
S
3
×D
5
120
8
(S3xD5):C8
480,986
×
⋊
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𝔽
○
≀
ℚ
◁