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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
5
and Q=
Q
8
×C
2
3
Direct product G=N×Q with N=
C
5
and Q=
Q
8
×C
2
3
d
ρ
Label
ID
Q
8
×C
2
2
×C
10
320
Q8xC2^2xC10
320,1630
Semidirect products G=N:Q with N=
C
5
and Q=
Q
8
×C
2
3
extension
φ:Q→Aut N
d
ρ
Label
ID
C
5
⋊
1
(Q
8
×C
2
3
) =
C
2
3
×Dic
10
φ:
Q
8
×C
2
3
/
C
2
3
×C
4
→
C
2
⊆ Aut
C
5
320
C5:1(Q8xC2^3)
320,1608
C
5
⋊
2
(Q
8
×C
2
3
) =
C
2
2
×Q
8
×D
5
φ:
Q
8
×C
2
3
/
C
2
2
×Q
8
→
C
2
⊆ Aut
C
5
160
C5:2(Q8xC2^3)
320,1615
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○
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