Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C33 · Schur multiplier (H2) = C24×C32 |
| direct product | C2×C3×#88907 |
| Sylow | C25 ⋊ C3×3−1+2 |
3892 conjugacy classes of subgroups; only the 184 normal subgroups are shown.
This group has 3892 conjugacy classes of subgroups — too many to draw. Only its 184 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 108 |
336 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72220143, C2×#72220148, C22×C3×#88907 |
| maximal normal subgroup of | C2×#72220143, C2×#72220148, C22×C3×#88907 |
| maximal quotient of | C22×C3×#88907, C2×C3×#11722589 |
Past the SmallGroups library coverage — no SmallGroups id.