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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
4
.
10
C
4
2
and Q=
C
3
Direct product G=N×Q with N=
C
4
.
10
C
4
2
and Q=
C
3
d
ρ
Label
ID
C
3
×C
4
.
10
C
4
2
48
4
C3xC4.10C4^2
192,144
Semidirect products G=N:Q with N=
C
4
.
10
C
4
2
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
C
4
.
10
C
4
2
⋊C
3
=
C
2
3
.SL
2
(𝔽
3
)
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
4
.
10
C
4
2
16
4
C4.10C4^2:C3
192,4
×
⋊
ℤ
𝔽
○
≀
ℚ
◁