Finite Group DatabasebetaFinite Group Databasebeta| order | 3888 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#92299⋊C4 |
| derived | C92 ⋊ C22×C3×C4 |
| Sylow | C9×3−1+2 ⋊ C22×C4 |
727 conjugacy classes of subgroups; only the 140 normal subgroups are shown.
This group has 727 conjugacy classes of subgroups — too many to draw. Only its 140 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 216 |
240 conjugacy classes — view the full character table.
Past the SmallGroups library coverage — no SmallGroups id.