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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
3
⋊C
8
Direct product G=N×Q with N=
C
3
and Q=
C
3
⋊C
8
d
ρ
Label
ID
C
3
×C
3
⋊C
8
24
2
C3xC3:C8
72,12
Semidirect products G=N:Q with N=
C
3
and Q=
C
3
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
3
⋊C
8
) =
C
3
2
⋊
4
C
8
φ:
C
3
⋊C
8
/
C
12
→
C
2
⊆ Aut
C
3
72
C3:(C3:C8)
72,13
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
⋊C
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
3
⋊C
8
) =
C
9
⋊C
8
φ:
C
3
⋊C
8
/
C
12
→
C
2
⊆ Aut
C
3
72
2
C3.(C3:C8)
72,1
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