Finite Group DatabasebetaFinite Group Databasebeta| order | 10287 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C127 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,127|a^3=c,c^3=d,b^a=bd,e^a=e^103,e^b=e^107,e^c=e^19159 conjugacy classes — view the full character table.
| maximal subgroup of | #44525182, #44525184, #44525186, … |
| maximal normal subgroup of | #44525182, #44525184, #44525186, … |
| maximal quotient of | #44525162, #44525164, #44525178, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10287, 59);