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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
10
and Q=
C
22
Direct product G=N×Q with N=
C
10
and Q=
C
22
d
ρ
Label
ID
C
2
×C
110
220
C2xC110
220,15
Semidirect products G=N:Q with N=
C
10
and Q=
C
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
⋊C
22
=
D
5
×C
22
φ:
C
22
/
C
11
→
C
2
⊆ Aut
C
10
110
2
C10:C22
220,13
Non-split extensions G=N.Q with N=
C
10
and Q=
C
22
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.C
22
=
C
11
×Dic
5
φ:
C
22
/
C
11
→
C
2
⊆ Aut
C
10
220
2
C10.C22
220,3
×
⋊
ℤ
𝔽
○
≀
ℚ
◁