Finite Group DatabasebetaFinite Group Databasebeta| order | 5184 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C9 |
| direct product | #106×C9⋊D9 |
| Fitting | C92×#106 ⋊ C2 |
| Sylow | C92 ⋊ C2×#106 |
1495 conjugacy classes of subgroups; only the 357 normal subgroups are shown.
This group has 1495 conjugacy classes of subgroups — too many to draw. Only its 357 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2592 |
588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #442×C9⋊D9, #106×#92314 |
| maximal normal subgroup of | #442×C9⋊D9, #106×#92314 |
Past the SmallGroups library coverage — no SmallGroups id.