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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
24
Direct product G=N×Q with N=
D
5
and Q=
C
24
d
ρ
Label
ID
D
5
×C
24
120
2
D5xC24
240,33
Semidirect products G=N:Q with N=
D
5
and Q=
C
24
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
⋊C
24
=
C
3
×D
5
⋊C
8
φ:
C
24
/
C
12
→
C
2
⊆ Out
D
5
120
4
D5:C24
240,111
×
⋊
ℤ
𝔽
○
≀
ℚ
◁