Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C22 |
| direct product | 3−1+2×#834 |
| Sylow | C3×3−1+2 ⋊ #99 |
713 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 713 conjugacy classes of subgroups — too many to draw. Only its 147 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
231 conjugacy classes — view the full character table.
| maximal subgroup of | #72220084, 3−1+2×#5032, #72220133, … |
| maximal normal subgroup of | 3−1+2×#5032, #72220133, #72220157 |
| maximal quotient of | #72220084 |
Past the SmallGroups library coverage — no SmallGroups id.