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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=
Q
8
Direct product G=N×Q with N=
S
3
×D
5
and Q=
Q
8
d
ρ
Label
ID
S
3
×Q
8
×D
5
120
8-
S3xQ8xD5
480,1107
Non-split extensions G=N.Q with N=
S
3
×D
5
and Q=
Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
(S
3
×D
5
).Q
8
=
S
3
×C
4
⋊F
5
φ:
Q
8
/
C
4
→
C
2
⊆ Out
S
3
×D
5
60
8
(S3xD5).Q8
480,996
×
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○
≀
ℚ
◁