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 ⋊ #6909 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|b^a=bd,d^a=de,c^b=ce,f^c=f^36273 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6909, C3×#23782879, #44535331, … |
| maximal normal subgroup of | C43⋊C3×#6909, C3×#23782879, #44535331, … |
| maximal quotient of | #44532474, #44532480, #44532495, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 263);