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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
2
3
Direct product G=N×Q with N=
S
3
×D
5
and Q=
C
2
3
d
ρ
Label
ID
S
3
×C
2
3
×D
5
120
S3xC2^3xD5
480,1207
Non-split extensions G=N.Q with N=
S
3
×D
5
and Q=
C
2
3
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×D
5
).C
2
3
=
C
2
2
×S
3
×F
5
φ:
C
2
3
/
C
2
2
→
C
2
⊆ Out
S
3
×D
5
60
(S3xD5).C2^3
480,1197
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𝔽
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ℚ
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