Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | C31⋊C3×#64470 |
| unambiguous semidirect product | (C31×#64470)⋊C3 |
| derived | C31×C52⋊C3 ⋊ C3×C4 |
| Hall | C52⋊C3×C31⋊C3 ⋊ C4 |
| Hall | C52×C31 ⋊ C3×Dic3 |
| Sylow | C31 ⋊ C3×#64470 |
| Sylow | C52 ⋊ Dic3×C31⋊C3 |
80 conjugacy classes of subgroups.
338 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 349);