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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
and Q=
C
5
2
Direct product G=N×Q with N=
C
5
and Q=
C
5
2
d
ρ
Label
ID
C
5
3
125
C5^3
125,5
Non-split extensions G=N.Q with N=
C
5
and Q=
C
5
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
.
1
C
5
2
=
He
5
central stem extension (φ=1)
25
5
C5.1C5^2
125,3
C
5
.
2
C
5
2
=
5
-
1+2
central stem extension (φ=1)
25
5
C5.2C5^2
125,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁