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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
11
and Q=
C
2
5
Direct product G=N×Q with N=
C
11
and Q=
C
2
5
d
ρ
Label
ID
C
2
4
×C
22
352
C2^4xC22
352,195
Semidirect products G=N:Q with N=
C
11
and Q=
C
2
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
11
⋊C
2
5
=
C
2
4
×D
11
φ:
C
2
5
/
C
2
4
→
C
2
⊆ Aut
C
11
176
C11:C2^5
352,194
×
⋊
ℤ
𝔽
○
≀
ℚ
◁