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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=
C
11
⋊C
8
Direct product G=N×Q with N=
C
5
and Q=
C
11
⋊C
8
d
ρ
Label
ID
C
5
×C
11
⋊C
8
440
2
C5xC11:C8
440,4
Semidirect products G=N:Q with N=
C
5
and Q=
C
11
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊(C
11
⋊C
8
) =
C
55
⋊C
8
φ:
C
11
⋊C
8
/
C
22
→
C
4
⊆ Aut
C
5
440
4
C5:(C11:C8)
440,16
C
5
⋊
2
(C
11
⋊C
8
) =
C
55
⋊
3
C
8
φ:
C
11
⋊C
8
/
C
44
→
C
2
⊆ Aut
C
5
440
2
C5:2(C11:C8)
440,5
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𝔽
○
≀
ℚ
◁