Finite Group DatabasebetaFinite Group Databasebeta| order | 32700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C4 · Schur multiplier (H2) = C1 |
| direct product | Dic25×C109⋊C3 |
| unambiguous semidirect product | (Dic25×C109)⋊C3 |
| derived, Hall | C25×C109 ⋊ C3×C4 |
| Hall | Dic25×C109 ⋊ C3 |
| Hall | C25×C109⋊C3 ⋊ C4 |
| Sylow | C109 ⋊ C3×Dic25 |
| Sylow | C25 ⋊ C4×C109⋊C3 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 10900 |
1092 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32700, 11);