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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
23
and Q=
C
2
×Q
8
Direct product G=N×Q with N=
C
23
and Q=
C
2
×Q
8
d
ρ
Label
ID
Q
8
×C
46
368
Q8xC46
368,39
Semidirect products G=N:Q with N=
C
23
and Q=
C
2
×Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
23
⋊
1
(C
2
×Q
8
) =
C
2
×Dic
46
φ:
C
2
×Q
8
/
C
2
×C
4
→
C
2
⊆ Aut
C
23
368
C23:1(C2xQ8)
368,27
C
23
⋊
2
(C
2
×Q
8
) =
Q
8
×D
23
φ:
C
2
×Q
8
/
Q
8
→
C
2
⊆ Aut
C
23
184
4-
C23:2(C2xQ8)
368,33
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⋊
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𝔽
○
≀
ℚ
◁