Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C43×#732 ⋊ C3 |
| Sylow | C43 ⋊ #6913 |
126 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|c^3=e,b^a=bd,d^a=de,c^b=ce,f^b=f^6,f^c=f^6273 conjugacy classes — view the full character table.
| maximal subgroup of | #44534565, #44534568, #44534573, … |
| maximal normal subgroup of | #44534565, #44534568, #44534573, … |
| maximal quotient of | #44532500, #44532546, #44532580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 286);