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
3
and Q=
C
7
×Q
16
Direct product G=N×Q with N=
C
3
and Q=
C
7
×Q
16
d
ρ
Label
ID
Q
16
×C
21
336
2
Q16xC21
336,113
Semidirect products G=N:Q with N=
C
3
and Q=
C
7
×Q
16
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊
1
(C
7
×Q
16
) =
C
7
×Dic
12
φ:
C
7
×Q
16
/
C
56
→
C
2
⊆ Aut
C
3
336
2
C3:1(C7xQ16)
336,78
C
3
⋊
2
(C
7
×Q
16
) =
C
7
×C
3
⋊Q
16
φ:
C
7
×Q
16
/
C
7
×Q
8
→
C
2
⊆ Aut
C
3
336
4
C3:2(C7xQ16)
336,88
×
⋊
ℤ
𝔽
○
≀
ℚ
◁