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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
25
and Q=
D
6
Direct product G=N×Q with N=
C
25
and Q=
D
6
d
ρ
Label
ID
S
3
×C
50
150
2
S3xC50
300,10
Semidirect products G=N:Q with N=
C
25
and Q=
D
6
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
⋊
1
D
6
=
S
3
×D
25
φ:
D
6
/
S
3
→
C
2
⊆ Aut
C
25
75
4+
C25:1D6
300,7
C
25
⋊
2
D
6
=
D
150
φ:
D
6
/
C
6
→
C
2
⊆ Aut
C
25
150
2+
C25:2D6
300,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁