Finite Group DatabasebetaFinite Group Databasebeta| order | 10287 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C127 ⋊ C9⋊C9 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,127|a^3=d,b^3=c,b^a=bc,e^a=e^191167 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44524967, #44524968, #44524985, … |
| maximal normal subgroup of | #44524967, #44524968, #44524985, … |
| maximal quotient of | #44524915, #44524964, #44524967, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10287, 22);