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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
8
Direct product G=N×Q with N=
C
25
and Q=
D
8
d
ρ
Label
ID
D
8
×C
25
200
2
D8xC25
400,25
Semidirect products G=N:Q with N=
C
25
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
25
⋊
1
D
8
=
D
200
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
25
200
2+
C25:1D8
400,8
C
25
⋊
2
D
8
=
D
4
⋊D
25
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
25
200
4+
C25:2D8
400,16
×
⋊
ℤ
𝔽
○
≀
ℚ
◁