Finite Group DatabasebetaFinite Group Databasebeta| order | 2916 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C33 · Schur multiplier (H2) = C2×C33 |
| direct product | C2×C3⋊D3×#737 |
| Fitting | C2×C32×#737 ⋊ C2 |
| Sylow | C32×#737 ⋊ C22 |
3694 conjugacy classes of subgroups; only the 435 normal subgroups are shown.
This group has 3694 conjugacy classes of subgroups — too many to draw. Only its 435 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 324 |
396 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72221846, C2×#72221866 |
| maximal normal subgroup of | C2×#72221866 |
| maximal quotient of | C2×#72221845 |
Past the SmallGroups library coverage — no SmallGroups id.