Finite Group DatabasebetaFinite Group Databasebeta| order | 11259 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C3 |
No aliases for this group.
| Sylow | C139 ⋊ C9⋊C9 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,139|a^3=d,b^3=c,b^a=bc,e^a=e^421275 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46798497, #46798498, #46798515, … |
| maximal normal subgroup of | #46798497, #46798498, #46798515, … |
| maximal quotient of | C139⋊#6855, #46798494, #46798497, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11259, 22);