Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C9×D25×D31 |
| Fitting, Hall | C9×C25×C31 ⋊ C22 |
| derived, Hall | C25×C31 ⋊ C22×C9 |
| Hall | C9×C31 ⋊ C2×D25 |
| Hall | C9×C25 ⋊ C2×D31 |
| Sylow | C31 ⋊ C2×C9×D25 |
| Sylow | C25 ⋊ C2×C9×D31 |
90 conjugacy classes of subgroups.
2142 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 39);