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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
4
and Q=
C
82
Direct product G=N×Q with N=
C
4
and Q=
C
82
d
ρ
Label
ID
C
2
×C
164
328
C2xC164
328,9
Semidirect products G=N:Q with N=
C
4
and Q=
C
82
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
⋊C
82
=
D
4
×C
41
φ:
C
82
/
C
41
→
C
2
⊆ Aut
C
4
164
2
C4:C82
328,10
Non-split extensions G=N.Q with N=
C
4
and Q=
C
82
extension
φ:Q→Aut N
d
ρ
Label
ID
C
4
.C
82
=
Q
8
×C
41
φ:
C
82
/
C
41
→
C
2
⊆ Aut
C
4
328
2
C4.C82
328,11
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ℚ
◁