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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=
F
5
Direct product G=N×Q with N=
C
2
and Q=
F
5
d
ρ
Label
ID
C
2
×F
5
10
4+
C2xF5
40,12
Non-split extensions G=N.Q with N=
C
2
and Q=
F
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
.F
5
=
C
5
⋊C
8
central extension (φ=1)
40
4-
C2.F5
40,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁