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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
2
and Q=
C
5
×Dic
10
Direct product G=N×Q with N=
C
2
and Q=
C
5
×Dic
10
d
ρ
Label
ID
C
10
×Dic
10
80
C10xDic10
400,181
Non-split extensions G=N.Q with N=
C
2
and Q=
C
5
×Dic
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
(C
5
×Dic
10
) =
C
5
×C
10
.D
4
central extension (φ=1)
80
C2.1(C5xDic10)
400,84
C
2
.
2
(C
5
×Dic
10
) =
C
5
×C
4
⋊Dic
5
central extension (φ=1)
80
C2.2(C5xDic10)
400,85
×
⋊
ℤ
𝔽
○
≀
ℚ
◁