Finite Group DatabasebetaFinite Group Databasebeta| order | 14080 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C23×C8 |
| direct product | C11⋊C5×#19745 |
| Fitting, Hall | C11×#19745 ⋊ C5 |
| Sylow | C11 ⋊ C5×#19745 |
1988 conjugacy classes of subgroups.
| transitive degree | μt(G) = 704 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | AGL(1,𝔽11)×#19745 |
| maximal normal subgroup of | AGL(1,𝔽11)×#19745 |
Past the SmallGroups library coverage — no SmallGroups id.