Finite Group DatabasebetaFinite Group Databasebeta| order | 20475 |
| automorphism | ? |
| homology | Abelianization (H1) = C52×C9×C13 · Schur multiplier (H2) = C5 |
| direct product | C52×C13×C7⋊C9 |
| unambiguous semidirect product | C7⋊(C52×C9×C13) |
| unambiguous semidirect product | (C5×C7)⋊(C5×C9×C13) |
| derived, Sylow | C7 ⋊ C52×C9×C13 |
| Hall | C52×C7×C13 ⋊ C9 |
| Hall | C52×C7 ⋊ C9×C13 |
| Hall | C7×C13 ⋊ C52×C9 |
96 conjugacy classes of subgroups.
| transitive degree | μt(G) = 20475 |
4875 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(20475, 20);