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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=
D
55
Direct product G=N×Q with N=
C
3
and Q=
D
55
d
ρ
Label
ID
C
3
×D
55
165
2
C3xD55
330,7
Semidirect products G=N:Q with N=
C
3
and Q=
D
55
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊D
55
=
D
165
φ:
D
55
/
C
55
→
C
2
⊆ Aut
C
3
165
2+
C3:D55
330,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁