Finite Group DatabasebetaFinite Group Databasebeta| order | 18228 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C49 · Schur multiplier (H2) = C2 |
| direct product | C22×C49×C31⋊C3 |
| Fitting, Hall | C22×C31×C49 ⋊ C3 |
| derived, Sylow | C31 ⋊ C22×C3×C49 |
| Hall | C31×C49 ⋊ C22×C3 |
| Hall | C22×C31 ⋊ C3×C49 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6076 |
2548 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18228, 49);