Finite Group DatabasebetaFinite Group Databasebeta| order | 9702 |
| isoclinism | isoclinic class of D33 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C49 · Schur multiplier (H2) = C1 |
| direct product | C3×C49×D33 |
| unambiguous semidirect product | C3⋊(C3×D11×C49) |
| unambiguous semidirect product | C11⋊(C3×D3×C49) |
| Fitting, Hall | C32×C11×C49 ⋊ C2 |
| derived | C3×C11 ⋊ C2×C3×C49 |
| Hall | C11×C49 ⋊ C3×D3 |
| Hall | C32×C49 ⋊ D11 |
| Hall | C32×C11 ⋊ C2×C49 |
| Sylow | C11 ⋊ C3×D3×C49 |
| Sylow | C32 ⋊ D11×C49 |
54 conjugacy classes of subgroups.
2646 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C3×D3×D11×C49, C3×D33×D49, C3×D33⋊D49, … |
| maximal normal subgroup of | C3×D3×D11×C49, C3×D33×D49, C3×D33⋊D49, … |
| maximal quotient of | C3×C49×Dic33, C2×C3×C49×D33 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9702, 26);