Finite Group DatabasebetaFinite Group Databasebeta| order | 27900 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2×C5 |
| direct product | C2×#28358426 |
| derived, Hall | C52×C31 ⋊ C22×C9 |
| Hall | C52⋊(C31⋊C9) ⋊ C22 |
| Hall | C2×C5⋊D155 ⋊ C9 |
| Sylow | C31 ⋊ C2×(C5⋊D5)⋊C9 |
| Sylow | C52 ⋊ C2×D31⋊C9 |
100 conjugacy classes of subgroups.
810 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(27900, 277);