Finite Group DatabasebetaFinite Group Databasebeta| order | 32100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C25 · Schur multiplier (H2) = C2 |
| direct product | C2×C3×C25×D107 |
| unambiguous semidirect product | C107⋊(C22×C3×C25) |
| unambiguous semidirect product | (C2×C107)⋊(C2×C3×C25) |
| Fitting | C2×C3×C25×C107 ⋊ C2 |
| derived, Sylow | C107 ⋊ C22×C3×C25 |
| Hall | C3×C25×C107 ⋊ C22 |
| Hall | C25×C107 ⋊ C22×C3 |
| Hall | C3×C107 ⋊ C22×C25 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 16050 |
8250 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32100, 28);