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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
16
⋊
5
C
4
Direct product G=N×Q with N=
C
3
and Q=
C
16
⋊
5
C
4
d
ρ
Label
ID
C
3
×C
16
⋊
5
C
4
192
C3xC16:5C4
192,152
Semidirect products G=N:Q with N=
C
3
and Q=
C
16
⋊
5
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
16
⋊
5
C
4
) =
C
24
.C
8
φ:
C
16
⋊
5
C
4
/
C
4
×C
8
→
C
2
⊆ Aut
C
3
192
C3:1(C16:5C4)
192,20
C
3
⋊
2
(C
16
⋊
5
C
4
) =
C
48
⋊
10
C
4
φ:
C
16
⋊
5
C
4
/
C
2
×C
16
→
C
2
⊆ Aut
C
3
192
C3:2(C16:5C4)
192,61
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