Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C32×C4 · Schur multiplier (H2) = C2×C3 |
| direct product | C3×#63391⋊C3 |
| Sylow | C3×3−1+2 ⋊ #100 |
684 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 684 conjugacy classes of subgroups — too many to draw. Only its 144 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
219 conjugacy classes — view the full character table.
| maximal subgroup of | #72219979, C3×#10588757⋊C3, #72220034, … |
| maximal normal subgroup of | #72219979, C3×#10588757⋊C3, #72220034, … |
| maximal quotient of | #72219979 |
Past the SmallGroups library coverage — no SmallGroups id.