Finite Group DatabasebetaFinite Group Databasebeta| order | 11259 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C9 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C27×C139 ⋊ C3 |
| Sylow | C139 ⋊ C27⋊C3 |
24 conjugacy classes of subgroups.
Polycyclic presentation:
3^4,139|a^3=c,c^3=d,b^a=bd,e^b=e^421275 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C27⋊C3×C139⋊C3, C3×#26014608, #46798616, … |
| maximal normal subgroup of | C27⋊C3×C139⋊C3, C3×#26014608, #46798616, … |
| maximal quotient of | #46798467, (C3×C139⋊C3)⋊C27, (C139⋊C9)⋊C27, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11259, 26);