Finite Group DatabasebetaFinite Group Databasebeta| order | 23580 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C9 · Schur multiplier (H2) = C1 |
| direct product | C9×C131⋊AGL(1,𝔽5) |
| unambiguous semidirect product | C131⋊(C9×AGL(1,𝔽5)) |
| Fitting, Hall | C5×C9×C131 ⋊ C4 |
| derived, Hall | C5×C131 ⋊ C4×C9 |
| Hall | C9×C131 ⋊ AGL(1,𝔽5) |
| Sylow | C131 ⋊ C9×AGL(1,𝔽5) |
| Hall | C5×C9 ⋊ Dic131 |
| Sylow | C5 ⋊ C9×Dic131 |
36 conjugacy classes of subgroups.
| transitive degree | μt(G) = 5895 |
2385 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(23580, 21);