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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=
C
5
×Dic
3
and Q=
C
5
Direct product G=N×Q with N=
C
5
×Dic
3
and Q=
C
5
d
ρ
Label
ID
Dic
3
×C
5
2
300
Dic3xC5^2
300,18
Non-split extensions G=N.Q with N=
C
5
×Dic
3
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×Dic
3
).C
5
=
Dic
3
×C
25
φ: trivial image
300
2
(C5xDic3).C5
300,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁