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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
2
×C
18
Direct product G=N×Q with N=
D
5
and Q=
C
2
×C
18
d
ρ
Label
ID
D
5
×C
2
×C
18
180
D5xC2xC18
360,47
Non-split extensions G=N.Q with N=
D
5
and Q=
C
2
×C
18
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.(C
2
×C
18
) =
C
18
×F
5
φ:
C
2
×C
18
/
C
18
→
C
2
⊆ Out
D
5
90
4
D5.(C2xC18)
360,43
×
⋊
ℤ
𝔽
○
≀
ℚ
◁