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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=
Q
8
.
10
D
10
and Q=
C
3
Direct product G=N×Q with N=
Q
8
.
10
D
10
and Q=
C
3
d
ρ
Label
ID
C
3
×Q
8
.
10
D
10
240
4
C3xQ8.10D10
480,1144
Semidirect products G=N:Q with N=
Q
8
.
10
D
10
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
Q
8
.
10
D
10
⋊C
3
=
SL
2
(𝔽
3
).
11
D
10
φ:
C
3
/
C
1
→
C
3
⊆ Out
Q
8
.
10
D
10
80
4
Q8.10D10:C3
480,1040
×
⋊
ℤ
𝔽
○
≀
ℚ
◁