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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=
D
5
and Q=
C
3
×Q
8
Direct product G=N×Q with N=
D
5
and Q=
C
3
×Q
8
d
ρ
Label
ID
C
3
×Q
8
×D
5
120
4
C3xQ8xD5
240,161
Non-split extensions G=N.Q with N=
D
5
and Q=
C
3
×Q
8
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
3
×Q
8
) =
C
3
×C
4
⋊F
5
φ:
C
3
×Q
8
/
C
12
→
C
2
⊆ Out
D
5
60
4
D5.(C3xQ8)
240,114
×
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○
≀
ℚ
◁