Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C34 |
| direct product | C32⋊C9×C43⋊C3 |
| Fitting | C43×C32⋊C9 ⋊ C3 |
| Sylow | C43 ⋊ C3×C32⋊C9 |
288 conjugacy classes of subgroups.
561 conjugacy classes — view the full character table.
| maximal subgroup of | C43⋊C3×#6856, C43⋊C3×#6857, C43⋊C3×#6858, … |
| maximal normal subgroup of | C43⋊C3×#6856, C43⋊C3×#6857, C43⋊C3×#6858, … |
| maximal quotient of | C43⋊C3×#6855, #44532236, C32⋊C9×C43⋊C9, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 156);