Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C32×#11923957 |
| Fitting | C32×C9×C43 ⋊ C3 |
| Sylow | C43 ⋊ C32×3−1+2 |
576 conjugacy classes of subgroups.
1233 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44532108, #44532290, #44532311, … |
| maximal normal subgroup of | #44532108, #44532290, #44532311, … |
| maximal quotient of | C32×(C3×C43⋊C3)⋊C9, C32×(C43⋊C9)⋊C9, C32×#16812499, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 298);