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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
50
and Q=
C
6
Direct product G=N×Q with N=
C
50
and Q=
C
6
d
ρ
Label
ID
C
2
×C
150
300
C2xC150
300,12
Semidirect products G=N:Q with N=
C
50
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
50
⋊C
6
=
C
6
×D
25
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
50
150
2
C50:C6
300,9
Non-split extensions G=N.Q with N=
C
50
and Q=
C
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
50
.C
6
=
C
3
×Dic
25
φ:
C
6
/
C
3
→
C
2
⊆ Aut
C
50
300
2
C50.C6
300,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁