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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
12
Direct product G=N×Q with N=
D
5
and Q=
D
12
d
ρ
Label
ID
D
5
×D
12
60
4+
D5xD12
240,136
Non-split extensions G=N.Q with N=
D
5
and Q=
D
12
extension
φ:Q→Out N
d
ρ
Label
ID
D
5
.
1
D
12
=
C
60
⋊C
4
φ:
D
12
/
C
12
→
C
2
⊆ Out
D
5
60
4
D5.1D12
240,121
D
5
.
2
D
12
=
D
6
⋊F
5
φ:
D
12
/
D
6
→
C
2
⊆ Out
D
5
60
8+
D5.2D12
240,96
×
⋊
ℤ
𝔽
○
≀
ℚ
◁