Finite Group DatabasebetaFinite Group Databasebeta| order | 10449 |
| automorphism | ? |
| homology | Abelianization (H1) = C33 · Schur multiplier (H2) = C33 |
| direct product | C3×#16812515 |
| Sylow | C43 ⋊ C3×#733 |
132 conjugacy classes of subgroups.
1185 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44531986, #44531987, #44531988, … |
| maximal normal subgroup of | #44531986, #44531987, #44531988, … |
| maximal quotient of | C3×#23782693, C3×#23782699, C3×#23782702, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10449, 256);