Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C31 · Schur multiplier (H2) = C3 |
| direct product | C31×C3⋊Dic75 |
| unambiguous semidirect product | C3⋊(C31×Dic75) |
| derived, Hall | C32×C25 ⋊ C4×C31 |
| Hall | C32×C25×C31 ⋊ C4 |
| Hall | C25×C31 ⋊ C3⋊Dic3 |
| Hall | C32×C31 ⋊ Dic25 |
| Sylow | C25 ⋊ C31×C3⋊Dic3 |
| Sylow | C32 ⋊ C31×Dic25 |
108 conjugacy classes of subgroups.
7068 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 84);