Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C43 ⋊ C9×3−1+2 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=e,b^3=d,c^3=e,b^a=bd,f^a=f^36,f^b=f^6,f^c=f^36561 conjugacy classes — view the full character table.
| maximal subgroup of | #44532437, #44532439, #44532442, … |
| maximal normal subgroup of | #44532437, #44532439, #44532442, … |
| maximal quotient of | C32⋊C9×C43⋊C9, #44532240, #44532275, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 176);