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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
×D
17
Direct product G=N×Q with N=
C
3
and Q=
C
3
×D
17
d
ρ
Label
ID
C
3
2
×D
17
153
C3^2xD17
306,5
Semidirect products G=N:Q with N=
C
3
and Q=
C
3
×D
17
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
⋊(C
3
×D
17
) =
C
3
×D
51
φ:
C
3
×D
17
/
C
51
→
C
2
⊆ Aut
C
3
102
2
C3:(C3xD17)
306,7
Non-split extensions G=N.Q with N=
C
3
and Q=
C
3
×D
17
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
.(C
3
×D
17
) =
C
9
×D
17
central extension (φ=1)
153
2
C3.(C3xD17)
306,2
×
⋊
ℤ
𝔽
○
≀
ℚ
◁