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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
and Q=
A
4
Direct product G=N×Q with N=
C
6
and Q=
A
4
d
ρ
Label
ID
C
6
×A
4
18
3
C6xA4
72,47
Non-split extensions G=N.Q with N=
C
6
and Q=
A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
6
.
1
A
4
=
Q
8
⋊C
9
central extension (φ=1)
72
2
C6.1A4
72,3
C
6
.
2
A
4
=
C
2
×C
3
.A
4
central extension (φ=1)
18
3
C6.2A4
72,16
C
6
.
3
A
4
=
C
3
×SL
2
(𝔽
3
)
central extension (φ=1)
24
2
C6.3A4
72,25
×
⋊
ℤ
𝔽
○
≀
ℚ
◁