Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C34 |
| direct product | C3×#16812513 |
| Fitting | C32×C9×C43 ⋊ C3 |
| Sylow | C43 ⋊ C3×#732 |
168 conjugacy classes of subgroups.
1185 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44531982, #44531983, #44531984, … |
| maximal normal subgroup of | #44531982, #44531983, #44531984, … |
| maximal quotient of | C3×#23782687, C3×#23782696, C3×#23782700, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 253);