Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C31 · Schur multiplier (H2) = C1 |
| direct product | C31×C9⋊#1043 |
| unambiguous semidirect product | C9⋊(C31×#1043) |
| Fitting, Hall | C52×C9×C31 ⋊ C4 |
| derived, Hall | C52×C9 ⋊ C4×C31 |
| Hall | C52×C31 ⋊ Dic9 |
| Hall | C9×C31 ⋊ #1043 |
| Sylow | C52 ⋊ C31×Dic9 |
| Sylow | C9 ⋊ C31×#1043 |
144 conjugacy classes of subgroups.
2046 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 304);