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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
and Q=
C
9
⋊C
8
Direct product G=N×Q with N=
C
3
and Q=
C
9
⋊C
8
d
ρ
Label
ID
C
3
×C
9
⋊C
8
72
2
C3xC9:C8
216,12
Semidirect products G=N:Q with N=
C
3
and Q=
C
9
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
9
⋊C
8
) =
C
36
.S
3
φ:
C
9
⋊C
8
/
C
36
→
C
2
⊆ Aut
C
3
216
C3:(C9:C8)
216,16
Non-split extensions G=N.Q with N=
C
3
and Q=
C
9
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
9
⋊C
8
) =
C
27
⋊C
8
φ:
C
9
⋊C
8
/
C
36
→
C
2
⊆ Aut
C
3
216
2
C3.(C9:C8)
216,1
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