Finite Group DatabasebetaFinite Group Databasebeta| order | 32100 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C107 · Schur multiplier (H2) = C5 |
| direct product | C107×C3⋊#1039 |
| unambiguous semidirect product | C3⋊(#1039×C107) |
| derived, Hall | C3×C52 ⋊ C4×C107 |
| Hall | C3×C52×C107 ⋊ C4 |
| Hall | C52×C107 ⋊ Dic3 |
| Hall | C3×C107 ⋊ #1039 |
| Sylow | C52 ⋊ Dic3×C107 |
| Sylow | C3 ⋊ #1039×C107 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 32100 |
8346 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(32100, 37);