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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
8
×C
3
⋊S
3
and Q=
C
3
Direct product G=N×Q with N=
C
8
×C
3
⋊S
3
and Q=
C
3
d
ρ
Label
ID
C
3
⋊S
3
×C
24
144
C3:S3xC24
432,480
Semidirect products G=N:Q with N=
C
8
×C
3
⋊S
3
and Q=
C
3
extension
φ:Q→Out N
d
ρ
Label
ID
(C
8
×C
3
⋊S
3
)⋊C
3
=
C
8
×C
3
2
⋊C
6
φ:
C
3
/
C
1
→
C
3
⊆ Out
C
8
×C
3
⋊S
3
72
6
(C8xC3:S3):C3
432,115
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ℚ
◁