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^1071167 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44524947, #44524948, #44524956, … |
| maximal normal subgroup of | #44524947, #44524948, #44524956, … |
| maximal quotient of | #44524938, C32⋊#16812178, #44524963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10287, 27);