Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
No aliases for this group.
| Fitting | C43×C32⋊C9 ⋊ C3 |
| Sylow | C43 ⋊ C9×H(3,𝔽3) |
202 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e,c^3=e,b^a=bd,f^c=f^36561 conjugacy classes — view the full character table.
| maximal subgroup of | #44532439, #44532440, #44532444, … |
| maximal normal subgroup of | #44532439, #44532440, #44532444, … |
| maximal quotient of | #44532236, C32⋊C9×C43⋊C9, #44532270, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 167);