Finite Group DatabasebetaFinite Group Databasebeta| order | 5184 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C9 · Schur multiplier (H2) = C2×C3 |
| direct product | C2×#72244963 |
| Sylow | C2×H(5,𝔽2) ⋊ C9⋊C9 |
687 conjugacy classes of subgroups; only the 86 normal subgroups are shown.
This group has 687 conjugacy classes of subgroups — too many to draw. Only its 86 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1296 |
258 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×#72245041 |
| maximal normal subgroup of | C2×#72245041 |
Past the SmallGroups library coverage — no SmallGroups id.