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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
2
and Q=
C
51
Direct product G=N×Q with N=
C
3
2
and Q=
C
51
d
ρ
Label
ID
C
3
2
×C
51
459
C3^2xC51
459,5
Semidirect products G=N:Q with N=
C
3
2
and Q=
C
51
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
⋊C
51
=
C
17
×He
3
φ:
C
51
/
C
17
→
C
3
⊆ Aut
C
3
2
153
3
C3^2:C51
459,3
Non-split extensions G=N.Q with N=
C
3
2
and Q=
C
51
extension
φ:Q→Aut N
d
ρ
Label
ID
C
3
2
.C
51
=
C
17
×3
-
1+2
φ:
C
51
/
C
17
→
C
3
⊆ Aut
C
3
2
153
3
C3^2.C51
459,4
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𝔽
○
≀
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◁