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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
31
and Q=
D
8
Direct product G=N×Q with N=
C
31
and Q=
D
8
d
ρ
Label
ID
D
8
×C
31
248
2
D8xC31
496,24
Semidirect products G=N:Q with N=
C
31
and Q=
D
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
31
⋊
1
D
8
=
D
248
φ:
D
8
/
C
8
→
C
2
⊆ Aut
C
31
248
2+
C31:1D8
496,6
C
31
⋊
2
D
8
=
D
4
⋊D
31
φ:
D
8
/
D
4
→
C
2
⊆ Aut
C
31
248
4+
C31:2D8
496,14
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⋊
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𝔽
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