Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C32×#11923958 |
| 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 | #44531908, #44532104, #44532113, … |
| maximal normal subgroup of | #44531908, #44532104, #44532113, … |
| maximal quotient of | C32×C32⋊(C43⋊C9), C32×(C43⋊C9)⋊C9, C3×C9×#11923958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 299);