Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
No aliases for this group.
| Fitting | C43×AΣL(1,𝔽27) ⋊ C3 |
| Sylow | C43 ⋊ #6908 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|c^3=e,b^a=bd,d^a=de,f^c=f^36289 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6908, C3×#23782873, #44535330, … |
| maximal normal subgroup of | C43⋊C3×#6908, C3×#23782873, #44535330, … |
| maximal quotient of | #44532437, #44532440, #44532442, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 257);