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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=
Q
32
Direct product G=N×Q with N=
C
3
and Q=
Q
32
d
ρ
Label
ID
C
3
×Q
32
96
2
C3xQ32
96,63
Semidirect products G=N:Q with N=
C
3
and Q=
Q
32
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
Q
32
=
Dic
24
φ:
Q
32
/
C
16
→
C
2
⊆ Aut
C
3
96
2-
C3:1Q32
96,8
C
3
⋊
2
Q
32
=
C
3
⋊Q
32
φ:
Q
32
/
Q
16
→
C
2
⊆ Aut
C
3
96
4-
C3:2Q32
96,36
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𝔽
○
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