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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=
Dic
10
Direct product G=N×Q with N=
C
2
and Q=
Dic
10
d
ρ
Label
ID
C
2
×Dic
10
80
C2xDic10
80,35
Non-split extensions G=N.Q with N=
C
2
and Q=
Dic
10
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.
1
Dic
10
=
C
10
.D
4
central extension (φ=1)
80
C2.1Dic10
80,12
C
2
.
2
Dic
10
=
C
4
⋊Dic
5
central extension (φ=1)
80
C2.2Dic10
80,13
×
⋊
ℤ
𝔽
○
≀
ℚ
◁