Go
Home
About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
5
and Q=
C
4
3
Direct product G=N×Q with N=
C
5
and Q=
C
4
3
d
ρ
Label
ID
C
4
2
×C
20
320
C4^2xC20
320,875
Semidirect products G=N:Q with N=
C
5
and Q=
C
4
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊C
4
3
=
C
4
2
×F
5
φ:
C
4
3
/
C
4
2
→
C
4
⊆ Aut
C
5
80
C5:C4^3
320,1023
C
5
⋊
2
C
4
3
=
C
4
2
×Dic
5
φ:
C
4
3
/
C
2
×C
4
2
→
C
2
⊆ Aut
C
5
320
C5:2C4^3
320,557
×
⋊
ℤ
𝔽
○
≀
ℚ
◁