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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
15
Direct product G=NxQ with N=
C
21
and Q=
C
15
d
ρ
Label
ID
C
3
xC
105
315
C3xC105
315,4
Semidirect products G=N:Q with N=
C
21
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
:C
15
=
C
15
xC
7
:C
3
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
21
105
3
C21:C15
315,3
Non-split extensions G=N.Q with N=
C
21
and Q=
C
15
extension
φ:Q→Aut N
d
ρ
Label
ID
C
21
.C
15
=
C
5
xC
7
:C
9
φ:
C
15
/
C
5
→
C
3
⊆ Aut
C
21
315
3
C21.C15
315,1
x
:
Z
F
o
wr
Q
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