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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
3
×D
9
and Q=
C
8
Direct product G=N×Q with N=
C
3
×D
9
and Q=
C
8
d
ρ
Label
ID
D
9
×C
24
144
2
D9xC24
432,105
Semidirect products G=N:Q with N=
C
3
×D
9
and Q=
C
8
extension
φ:Q→Out N
d
ρ
Label
ID
(C
3
×D
9
)⋊C
8
=
D
9
×C
3
⋊C
8
φ:
C
8
/
C
4
→
C
2
⊆ Out
C
3
×D
9
144
4
(C3xD9):C8
432,58
×
⋊
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𝔽
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≀
ℚ
◁