Finite Group DatabasebetaFinite Group Databasebeta| order | 17460 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C9 · Schur multiplier (H2) = C2 |
| direct product | C2×D5×C97⋊C9 |
| unambiguous semidirect product | C5⋊(C22×C97⋊C9) |
| unambiguous semidirect product | (C2×C5)⋊(C2×C97⋊C9) |
| unambiguous semidirect product | (C2×D5×C97)⋊C9 |
| derived, Hall | C5×C97 ⋊ C22×C9 |
| Hall | C5×C97⋊C9 ⋊ C22 |
| Hall | C2×D5×C97 ⋊ C9 |
| Sylow | C97 ⋊ C2×C9×D5 |
| Sylow | C5 ⋊ C22×C97⋊C9 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8730 |
840 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17460, 23);