Finite Group DatabasebetaFinite Group Databasebeta| order | 23700 |
| automorphism | ? |
| homology | Abelianization (H1) = C3×C25×C79 · Schur multiplier (H2) = C2 |
| direct product | A4×C25×C79 |
| unambiguous semidirect product | C22⋊(C3×C25×C79) |
| unambiguous semidirect product | (C22×C25)⋊(C3×C79) |
| Fitting, Hall | C22×C25×C79 ⋊ C3 |
| derived, Sylow | C22 ⋊ C3×C25×C79 |
| Hall | C22×C79 ⋊ C3×C25 |
| Hall | C22×C25 ⋊ C3×C79 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7900 |
7900 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23700, 32);