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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
9
and Q=
C
21
Direct product G=N×Q with N=
C
9
and Q=
C
21
d
ρ
Label
ID
C
3
×C
63
189
C3xC63
189,9
Semidirect products G=N:Q with N=
C
9
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
9
⋊C
21
=
C
7
×3
-
 1+2
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
9
63
3
C9:C21
189,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁