Finite Group DatabasebetaFinite Group Databasebeta| order | 23100 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C7×C25 · Schur multiplier (H2) = C2 |
| direct product | C22×C3×C7×C11⋊C25 |
| unambiguous semidirect product | (C22×C3×C11)⋊(C7×C25) |
| unambiguous semidirect product | (C22×C3×C7×C11)⋊C25 |
| derived, Sylow | C11 ⋊ C22×C3×C7×C25 |
| Hall | C22×C3×C7×C11 ⋊ C25 |
| Hall | C22×C7×C11 ⋊ C3×C25 |
| Hall | C3×C7×C11 ⋊ C22×C25 |
| Hall | C22×C3×C11 ⋊ C7×C25 |
| Hall | C7×C11 ⋊ C22×C3×C25 |
| Hall | C22×C11 ⋊ C3×C7×C25 |
| Hall | C3×C11 ⋊ C22×C7×C25 |
120 conjugacy classes of subgroups.
| transitive degree | μt(G) = 23100 |
2940 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23100, 77);