Finite Group DatabasebetaFinite Group Databasebeta| order | 5808 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C11 · Schur multiplier (H2) = C23 |
| direct product | D3×C11×C22⋊D11 |
| Fitting | C22×C3×C112 ⋊ C22 |
| Hall | C3×C112 ⋊ C2×D4 |
| Sylow | C112 ⋊ D3×D4 |
| Sylow | C3 ⋊ C2×C11×C22⋊D11 |
376 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 72 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 132 |
825 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D3×#14515540, D3×#72213653 |
| maximal normal subgroup of | D3×#14515540, D3×#72213653 |
Past the SmallGroups library coverage — no SmallGroups id.