Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C3×C9 |
No aliases for this group.
| Fitting | C43×C9⋊C9 ⋊ C3 |
| Sylow | C43 ⋊ #6887 |
138 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e,c^3=d,b^a=bd,f^b=f^6,f^c=f^36561 conjugacy classes — view the full character table.
| maximal subgroup of | #44533481, #44534452, #44534456, … |
| maximal normal subgroup of | #44533481, #44534452, #44534456, … |
| maximal quotient of | #44532234, #44532236, #44532240, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 165);