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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
×C
4
○D
4
and Q=
C
5
Direct product G=N×Q with N=
C
5
×C
4
○D
4
and Q=
C
5
d
ρ
Label
ID
C
4
○D
4
×C
5
2
200
C4oD4xC5^2
400,204
Non-split extensions G=N.Q with N=
C
5
×C
4
○D
4
and Q=
C
5
extension
φ:Q→Out N
d
ρ
Label
ID
(C
5
×C
4
○D
4
).C
5
=
C
4
○D
4
×C
25
φ: trivial image
200
2
(C5xC4oD4).C5
400,48
×
⋊
ℤ
𝔽
○
≀
ℚ
◁