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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=
C
5
×C
10
Direct product G=N×Q with N=
D
5
and Q=
C
5
×C
10
d
ρ
Label
ID
D
5
×C
5
×C
10
100
D5xC5xC10
500,53
Non-split extensions G=N.Q with N=
D
5
and Q=
C
5
×C
10
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
5
×C
10
) =
F
5
×C
5
2
φ:
C
5
×C
10
/
C
5
2
→
C
2
⊆ Out
D
5
100
D5.(C5xC10)
500,41
×
⋊
ℤ
𝔽
○
≀
ℚ
◁