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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
55
and Q=
C
2
Direct product G=N×Q with N=
C
55
and Q=
C
2
d
ρ
Label
ID
C
110
110
1
C110
110,6
Semidirect products G=N:Q with N=
C
55
and Q=
C
2
extension
φ:Q→Aut N
d
ρ
Label
ID
C
55
⋊
1
C
2
=
D
55
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
55
55
2+
C55:1C2
110,5
C
55
⋊
2
C
2
=
C
5
×D
11
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
55
55
2
C55:2C2
110,4
C
55
⋊
3
C
2
=
D
5
×C
11
φ:
C
2
/
C
1
→
C
2
⊆ Aut
C
55
55
2
C55:3C2
110,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁