Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#16812509 |
| Sylow | C43 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
513 conjugacy classes — view the full character table.
| maximal subgroup of | C9×#16812509, #44533529, #44533554, … |
| maximal normal subgroup of | C9×#16812509, #44533529, #44533554, … |
| maximal quotient of | C3×#23782689, C3×#23782693, C3×#23782694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 248);