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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=
C
3
and Q=
D
10
.
3
Q
8
Direct product G=N×Q with N=
C
3
and Q=
D
10
.
3
Q
8
d
ρ
Label
ID
C
3
×D
10
.
3
Q
8
120
C3xD10.3Q8
480,286
Semidirect products G=N:Q with N=
C
3
and Q=
D
10
.
3
Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(D
10
.
3
Q
8
) =
D
10
.
10
D
12
φ:
D
10
.
3
Q
8
/
C
2
×C
4
×D
5
→
C
2
⊆ Aut
C
3
120
C3:1(D10.3Q8)
480,311
C
3
⋊
2
(D
10
.
3
Q
8
) =
D
10
.
20
D
12
φ:
D
10
.
3
Q
8
/
C
2
2
×F
5
→
C
2
⊆ Aut
C
3
120
C3:2(D10.3Q8)
480,243
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⋊
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○
≀
ℚ
◁