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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
×Q
8
Direct product G=N×Q with N=
C
3
and Q=
C
3
×Q
8
d
ρ
Label
ID
Q
8
×C
3
2
72
Q8xC3^2
72,38
Semidirect products G=N:Q with N=
C
3
and Q=
C
3
×Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
3
×Q
8
) =
C
3
×Dic
6
φ:
C
3
×Q
8
/
C
12
→
C
2
⊆ Aut
C
3
24
2
C3:(C3xQ8)
72,26
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
×Q
8
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
3
×Q
8
) =
Q
8
×C
9
central extension (φ=1)
72
2
C3.(C3xQ8)
72,11
×
⋊
ℤ
𝔽
○
≀
ℚ
◁