Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C32×C9 · Schur multiplier (H2) = C32 |
| direct product | C3×#16812503 |
| Fitting | C3×C27×C43 ⋊ C3 |
| Sylow | C43 ⋊ C3×C27⋊C3 |
120 conjugacy classes of subgroups.
1233 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C9×#16812503, #44533347, #44533350, … |
| maximal normal subgroup of | C9×#16812503, #44533347, #44533350, … |
| maximal quotient of | C3×#23782706, C9×#16812503, C3×(C3×C43⋊C3)⋊C27, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 237);