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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=
2
-
1+4
Direct product G=N×Q with N=
C
3
and Q=
2
-
1+4
d
ρ
Label
ID
C
3
×2
-
1+4
48
4
C3xES-(2,2)
96,225
Semidirect products G=N:Q with N=
C
3
and Q=
2
-
1+4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
2
-
1+4
=
Q
8
.
15
D
6
φ:
2
-
1+4
/
C
2
×Q
8
→
C
2
⊆ Aut
C
3
48
4
C3:1ES-(2,2)
96,214
C
3
⋊
2
2
-
1+4
=
Q
8
○D
12
φ:
2
-
1+4
/
C
4
○D
4
→
C
2
⊆ Aut
C
3
48
4-
C3:2ES-(2,2)
96,217
×
⋊
ℤ
𝔽
○
≀
ℚ
◁