Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C9 · Schur multiplier (H2) = C22 |
| direct product | C9×#63393 |
| Sylow | C92 ⋊ #99 |
423 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 423 conjugacy classes of subgroups — too many to draw. Only its 90 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
459 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72220084, C9×#10588712, #72220131, … |
| maximal normal subgroup of | #72220084, C9×#10588712, #72220131, … |
Past the SmallGroups library coverage — no SmallGroups id.