Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C33 |
| direct product | C3×#16812500 |
| Sylow | C43 ⋊ C3×C9⋊C9 |
180 conjugacy classes of subgroups.
1233 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44531961, #44531964, #44532137, … |
| maximal normal subgroup of | #44531961, #44531964, #44532137, … |
| maximal quotient of | C3×C43⋊#6855, C9×#16812500, #44532251, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 162);