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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
2
2
and Q=
D
55
Direct product G=N×Q with N=
C
2
2
and Q=
D
55
d
ρ
Label
ID
C
2
2
×D
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
×Dic
55
central extension (φ=1)
440
C2^2.D55
440,37
×
⋊
ℤ
𝔽
○
≀
ℚ
◁