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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
89
and Q=
C
4
Direct product G=N×Q with N=
C
89
and Q=
C
4
d
ρ
Label
ID
C
356
356
1
C356
356,2
Semidirect products G=N:Q with N=
C
89
and Q=
C
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
89
⋊C
4
=
C
89
⋊C
4
φ:
C
4
/
C
1
→
C
4
⊆ Aut
C
89
89
4+
C89:C4
356,3
C
89
⋊
2
C
4
=
Dic
89
φ:
C
4
/
C
2
→
C
2
⊆ Aut
C
89
356
2-
C89:2C4
356,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁