Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×C31⋊#1035 |
| Fitting, Hall | C9×C25×C31 ⋊ C4 |
| derived, Hall | C25×C31 ⋊ C4×C9 |
| Hall | C9×C31 ⋊ #1035 |
| Hall | C9×C25 ⋊ Dic31 |
| Sylow | C31 ⋊ C9×#1035 |
| Sylow | C25 ⋊ C9×Dic31 |
54 conjugacy classes of subgroups.
1980 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 36);