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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
2
3
×Dic
3
and Q=
C
3
Direct product G=N×Q with N=
C
2
3
×Dic
3
and Q=
C
3
d
ρ
Label
ID
Dic
3
×C
2
2
×C
6
96
Dic3xC2^2xC6
288,1001
Semidirect products G=N:Q with N=
C
2
3
×Dic
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
2
3
×Dic
3
)⋊C
3
=
C
2
×Dic
3
×A
4
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
2
3
×Dic
3
72
(C2^3xDic3):C3
288,927
×
⋊
ℤ
𝔽
○
≀
ℚ
◁