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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
24
Direct product G=N×Q with N=
D
5
and Q=
D
24
d
ρ
Label
ID
D
5
×D
24
120
4+
D5xD24
480,324
Non-split extensions G=N.Q with N=
D
5
and Q=
D
24
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
D
24
=
D
5
.D
24
φ:
D
24
/
C
24
→
C
2
⊆ Out
D
5
120
4
D5.1D24
480,299
D
5
.
2
D
24
=
D
12
⋊F
5
φ:
D
24
/
D
12
→
C
2
⊆ Out
D
5
120
8+
D5.2D24
480,228
×
⋊
ℤ
𝔽
○
≀
ℚ
◁