Go
Home
About
C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
A
4
and Q=
C
2
×C
8
Direct product G=N×Q with N=
A
4
and Q=
C
2
×C
8
d
ρ
Label
ID
A
4
×C
2
×C
8
48
A4xC2xC8
192,1010
Semidirect products G=N:Q with N=
A
4
and Q=
C
2
×C
8
extension
φ:Q→Out N
d
ρ
Label
ID
A
4
⋊
1
(C
2
×C
8
) =
C
8
×S
4
φ:
C
2
×C
8
/
C
8
→
C
2
⊆ Out
A
4
24
3
A4:1(C2xC8)
192,958
A
4
⋊
2
(C
2
×C
8
) =
C
2
×A
4
⋊C
8
φ:
C
2
×C
8
/
C
2
×C
4
→
C
2
⊆ Out
A
4
48
A4:2(C2xC8)
192,967
×
⋊
ℤ
𝔽
○
≀
ℚ
◁