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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr
Extensions
1→N→G→Q→1 with N=
C
21
and Q=
C
21
Direct product G=NxQ with N=
C
21
and Q=
C
21
d
ρ
Label
ID
C
21
2
441
C21^2
441,13
Semidirect products G=N:Q with N=
C
21
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
:C
21
=
C
7
:C
3
xC
21
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
21
63
3
C21:C21
441,10
Non-split extensions G=N.Q with N=
C
21
and Q=
C
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
.C
21
=
C
7
xC
7
:C
9
φ:
C
21
/
C
7
→
C
3
⊆ Aut
C
21
63
3
C21.C21
441,5
x
:
Z
F
o
wr
Q
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