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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
4
and Q=
C
84
Direct product G=NxQ with N=
C
4
and Q=
C
84
d
ρ
Label
ID
C
4
xC
84
336
C4xC84
336,106
Semidirect products G=N:Q with N=
C
4
and Q=
C
84
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
:C
84
=
C
4
:C
4
xC
21
φ:
C
84
/
C
42
→
C
2
⊆ Aut
C
4
336
C4:C84
336,108
Non-split extensions G=N.Q with N=
C
4
and Q=
C
84
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
84
=
M
4
(2)xC
21
φ:
C
84
/
C
42
→
C
2
⊆ Aut
C
4
168
2
C4.C84
336,110
x
:
Z
F
o
wr
Q
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