Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
No aliases for this group.
| Sylow | C43 ⋊ #6903 |
110 conjugacy classes of subgroups.
Polycyclic presentation:
3^5,43|a^3=d,d^3=e,f^a=f^36,c^b=ce561 conjugacy classes — view the full character table.
| maximal subgroup of | #44533581, #44533582, #44533584, … |
| maximal normal subgroup of | #44533581, #44533582, #44533584, … |
| maximal quotient of | #44533352, #44533364, #44533471, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 241);