Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C22×C32 |
| direct product | C2×#13049240 |
| Sylow | C25 ⋊ C3×3−1+2 |
708 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 708 conjugacy classes of subgroups — too many to draw. Only its 98 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
128 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72213207, C22×#13049240, C4×#13049240, … |
| maximal normal subgroup of | C2×#72213207, C22×#13049240, C4×#13049240, … |
| maximal quotient of | C2×#72220143, C22×#13049240, C4×#13049240, … |
Past the SmallGroups library coverage — no SmallGroups id.