Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | #731×C43⋊C3 |
| Fitting | C43×#731 ⋊ C3 |
| Sylow | C43 ⋊ C3×#731 |
144 conjugacy classes of subgroups.
289 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#731×C43⋊C3, C43⋊C3×#6908, C43⋊C3×#6910, … |
| maximal normal subgroup of | C3×#731×C43⋊C3, C43⋊C3×#6908, C43⋊C3×#6910, … |
| maximal quotient of | C43⋊C3×#6857, C43⋊C3×#6858, C43⋊C3×#6859, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 247);