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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=
D
21
and Q=
C
10
Direct product G=N×Q with N=
D
21
and Q=
C
10
d
ρ
Label
ID
C
10
×D
21
210
2
C10xD21
420,38
Semidirect products G=N:Q with N=
D
21
and Q=
C
10
extension
φ:Q→Out N
d
ρ
Label
ID
D
21
⋊C
10
=
C
5
×S
3
×D
7
φ:
C
10
/
C
5
→
C
2
⊆ Out
D
21
105
4
D21:C10
420,25
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⋊
ℤ
𝔽
○
≀
ℚ
◁