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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
6
.
6
S
4
and Q=
C
3
Direct product G=N×Q with N=
C
6
.
6
S
4
and Q=
C
3
d
ρ
Label
ID
C
3
×C
6
.
6
S
4
48
4
C3xC6.6S4
432,617
Semidirect products G=N:Q with N=
C
6
.
6
S
4
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
6
.
6
S
4
⋊C
3
=
C
3
2
⋊
2
GL
2
(𝔽
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
6
.
6
S
4
72
12+
C6.6S4:C3
432,248
×
⋊
ℤ
𝔽
○
≀
ℚ
◁