Finite Group DatabasebetaFinite Group Databasebeta| order | 5832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23 |
| direct product | C2×#72221861 |
| Fitting | C2×#10624556 ⋊ C22 |
| derived | C32⋊C9 ⋊ C23×C9 |
| Sylow | #10624556 ⋊ C23 |
906 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 906 conjugacy classes of subgroups — too many to draw. Only its 108 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
234 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72221872 |
| maximal quotient of | C2×#72221862, C2×#72221869, C2×#72221870 |
Past the SmallGroups library coverage — no SmallGroups id.