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
7
and Q=
C
7
×D
5
Direct product G=N×Q with N=
C
7
and Q=
C
7
×D
5
d
ρ
Label
ID
D
5
×C
7
2
245
D5xC7^2
490,7
Semidirect products G=N:Q with N=
C
7
and Q=
C
7
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
⋊(C
7
×D
5
) =
C
7
×D
35
φ:
C
7
×D
5
/
C
35
→
C
2
⊆ Aut
C
7
70
2
C7:(C7xD5)
490,8
Non-split extensions G=N.Q with N=
C
7
and Q=
C
7
×D
5
extension
φ:Q→Aut N
d
ρ
Label
ID
C
7
.(C
7
×D
5
) =
D
5
×C
49
central extension (φ=1)
245
2
C7.(C7xD5)
490,1
×
⋊
ℤ
𝔽
○
≀
ℚ
◁