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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
4
.
6
Q
16
Direct product G=N×Q with N=
C
3
and Q=
C
4
.
6
Q
16
d
ρ
Label
ID
C
3
×C
4
.
6
Q
16
192
C3xC4.6Q16
192,139
Semidirect products G=N:Q with N=
C
3
and Q=
C
4
.
6
Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
4
.
6
Q
16
) =
C
4
.Dic
12
φ:
C
4
.
6
Q
16
/
C
4
⋊C
8
→
C
2
⊆ Aut
C
3
192
C3:1(C4.6Q16)
192,40
C
3
⋊
2
(C
4
.
6
Q
16
) =
C
12
.
5
Q
16
φ:
C
4
.
6
Q
16
/
C
4
⋊Q
8
→
C
2
⊆ Aut
C
3
192
C3:2(C4.6Q16)
192,105
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