Finite Group DatabasebetaFinite Group Databasebeta| order | 14080 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25×C8 |
| direct product | AGL(1,𝔽11)×#1712 |
| Fitting | C11×#1712 ⋊ C2×C5 |
| Hall | D11×#1712 ⋊ C5 |
| Hall | C11⋊C5 ⋊ C2×#1712 |
| Sylow | C11 ⋊ C2×C5×#1712 |
2684 conjugacy classes of subgroups; only the 430 normal subgroups are shown.
This group has 2684 conjugacy classes of subgroups — too many to draw. Only its 430 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 704 |
418 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.