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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
2
2
and Q=
D
55
Direct product G=NxQ with N=
C
2
2
and Q=
D
55
d
ρ
Label
ID
C
2
2
xD
55
220
C2^2xD55
440,50
Semidirect products G=N:Q with N=
C
2
2
and Q=
D
55
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
:D
55
=
C
55
:
7
D
4
φ:
D
55
/
C
55
→
C
2
⊆ Aut
C
2
2
220
2
C2^2:D55
440,38
Non-split extensions G=N.Q with N=
C
2
2
and Q=
D
55
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.D
55
=
C
2
xDic
55
central extension (φ=1)
440
C2^2.D55
440,37
x
:
Z
F
o
wr
Q
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