Finite Group DatabasebetaFinite Group Databasebeta| order | 5832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C9 · Schur multiplier (H2) = C23 |
| direct product | C2×#72221858 |
| Fitting | C2×#10624864 ⋊ C22 |
| derived | #737 ⋊ C23×C9 |
| Sylow | #10624864 ⋊ C23 |
1027 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 1027 conjugacy classes of subgroups — too many to draw. Only its 121 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221860, C2×#72221868, C2×#72221869, … |
Past the SmallGroups library coverage — no SmallGroups id.