Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C32×C9×C43 ⋊ C3 |
| Sylow | C43 ⋊ #6893 |
156 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|c^3=d,b^a=bd,c^a=ce,f^a=f^361185 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44532745, #44532746, #44532751, … |
| maximal normal subgroup of | #44532745, #44532746, #44532751, … |
| maximal quotient of | #44532254, #44532272, #44532286, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 192);