Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#16812510 |
| Fitting | C32×C9×C43 ⋊ C3 |
| Sylow | C43 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
1185 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44533524, C9×#16812510, #44533552, … |
| maximal normal subgroup of | #44533524, C9×#16812510, #44533552, … |
| maximal quotient of | C3×#23782690, C3×#23782692, C3×#23782694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 249);