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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
5
Direct product G=N×Q with N=
C
2
2
and Q=
D
5
d
ρ
Label
ID
C
2
2
×D
5
20
C2^2xD5
40,13
Semidirect products G=N:Q with N=
C
2
2
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
⋊D
5
=
C
5
⋊D
4
φ:
D
5
/
C
5
→
C
2
⊆ Aut
C
2
2
20
2
C2^2:D5
40,8
Non-split extensions G=N.Q with N=
C
2
2
and Q=
D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
2
2
.D
5
=
C
2
×Dic
5
central extension (φ=1)
40
C2^2.D5
40,7
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○
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ℚ
◁