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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
3
and Q=
D
21
Direct product G=NxQ with N=
C
3
and Q=
D
21
d
ρ
Label
ID
C
3
xD
21
42
2
C3xD21
126,13
Semidirect products G=N:Q with N=
C
3
and Q=
D
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
:D
21
=
C
3
:D
21
φ:
D
21
/
C
21
→
C
2
⊆ Aut
C
3
63
C3:D21
126,15
Non-split extensions G=N.Q with N=
C
3
and Q=
D
21
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.D
21
=
D
63
φ:
D
21
/
C
21
→
C
2
⊆ Aut
C
3
63
2+
C3.D21
126,5
x
:
Z
F
o
wr
Q
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