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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=
C
2
3
×C
4
Direct product G=N×Q with N=
C
3
and Q=
C
2
3
×C
4
d
ρ
Label
ID
C
2
3
×C
12
96
C2^3xC12
96,220
Semidirect products G=N:Q with N=
C
3
and Q=
C
2
3
×C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
2
3
×C
4
) =
S
3
×C
2
2
×C
4
φ:
C
2
3
×C
4
/
C
2
2
×C
4
→
C
2
⊆ Aut
C
3
48
C3:1(C2^3xC4)
96,206
C
3
⋊
2
(C
2
3
×C
4
) =
C
2
3
×Dic
3
φ:
C
2
3
×C
4
/
C
2
4
→
C
2
⊆ Aut
C
3
96
C3:2(C2^3xC4)
96,218
×
⋊
ℤ
𝔽
○
≀
ℚ
◁