Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C27⋊C3×C43⋊C3 |
| Fitting | C43×C27⋊C3 ⋊ C3 |
| Sylow | C43 ⋊ C3×C27⋊C3 |
120 conjugacy classes of subgroups.
561 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6869, #44533404, #44533405, … |
| maximal normal subgroup of | C43⋊C3×#6869, #44533404, #44533405, … |
| maximal quotient of | C43⋊C3×#6864, C27⋊C3×C43⋊C9, #44533347, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 236);