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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
5
and Q=
D
27
Direct product G=N×Q with N=
C
5
and Q=
D
27
d
ρ
Label
ID
C
5
×D
27
135
2
C5xD27
270,1
Semidirect products G=N:Q with N=
C
5
and Q=
D
27
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊D
27
=
D
135
φ:
D
27
/
C
27
→
C
2
⊆ Aut
C
5
135
2+
C5:D27
270,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁