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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=
D
5
and Q=
D
20
Direct product G=N×Q with N=
D
5
and Q=
D
20
d
ρ
Label
ID
D
5
×D
20
40
4+
D5xD20
400,170
Non-split extensions G=N.Q with N=
D
5
and Q=
D
20
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
D
20
=
C
20
⋊
5
F
5
φ:
D
20
/
C
20
→
C
2
⊆ Out
D
5
80
4
D5.1D20
400,145
D
5
.
2
D
20
=
D
5
.D
20
φ:
D
20
/
D
10
→
C
2
⊆ Out
D
5
40
8+
D5.2D20
400,118
×
⋊
ℤ
𝔽
○
≀
ℚ
◁