Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C34 · Schur multiplier (H2) = C35 |
| direct product | C3×#16812525 |
| Fitting | C32×C9×C43 ⋊ C3 |
| Sylow | C43 ⋊ C3×#737 |
480 conjugacy classes of subgroups.
1233 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44531922, #44531928, #44532117, … |
| maximal normal subgroup of | #44531922, #44531928, #44532117, … |
| maximal quotient of | C3×#23782780, C3×#23782782, C3×C9×C32⋊(C43⋊C3), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 302);