Finite Group DatabasebetaFinite Group Databasebeta| order | 2592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23×C9 |
| direct product | D4×C9⋊Dic9 |
| Sylow | C92 ⋊ C4×D4 |
1081 conjugacy classes of subgroups; only the 450 normal subgroups are shown.
This group has 1081 conjugacy classes of subgroups — too many to draw. Only its 450 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1296 |
420 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #72244280, C4×D4×C9⋊D9, #72254568 |
| maximal normal subgroup of | #72244280, C4×D4×C9⋊D9, #72254568 |
| maximal quotient of | #72244280 |
Past the SmallGroups library coverage — no SmallGroups id.