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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=
D
42
Direct product G=N×Q with N=
C
5
and Q=
D
42
d
ρ
Label
ID
C
10
×D
21
210
2
C10xD21
420,38
Semidirect products G=N:Q with N=
C
5
and Q=
D
42
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
D
42
=
D
5
×D
21
φ:
D
42
/
D
21
→
C
2
⊆ Aut
C
5
105
4+
C5:1D42
420,28
C
5
⋊
2
D
42
=
D
210
φ:
D
42
/
C
42
→
C
2
⊆ Aut
C
5
210
2+
C5:2D42
420,40
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