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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=
2
+
1+4
and Q=
C
3
Direct product G=N×Q with N=
2
+
1+4
and Q=
C
3
d
ρ
Label
ID
C
3
×2
+
1+4
24
4
C3xES+(2,2)
96,224
Semidirect products G=N:Q with N=
2
+
1+4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
2
+
1+4
⋊
1
C
3
=
Q
8
.A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
2
+
1+4
24
4+
ES+(2,2):1C3
96,201
2
+
1+4
⋊
2
C
3
=
C
2
3
⋊A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
2
+
1+4
8
4+
ES+(2,2):2C3
96,204
×
⋊
ℤ
𝔽
○
≀
ℚ
◁