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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=
3
-
1+2
and Q=
C
16
Direct product G=N×Q with N=
3
-
1+2
and Q=
C
16
d
ρ
Label
ID
C
16
×3
-
1+2
144
3
C16xES-(3,1)
432,36
Semidirect products G=N:Q with N=
3
-
1+2
and Q=
C
16
extension
φ:Q→Out N
d
ρ
Label
ID
3
-
1+2
⋊C
16
=
C
9
⋊C
48
φ:
C
16
/
C
8
→
C
2
⊆ Out
3
-
1+2
144
6
ES-(3,1):C16
432,31
×
⋊
ℤ
𝔽
○
≀
ℚ
◁