Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | D9×#458 |
| Fitting | C9×#458 ⋊ C2 |
| Sylow | C9 ⋊ C2×#458 |
1191 conjugacy classes of subgroups; only the 162 normal subgroups are shown.
This group has 1191 conjugacy classes of subgroups — too many to draw. Only its 162 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 144 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | D9×#3026 |
| maximal normal subgroup of | D9×#3026 |
| maximal quotient of | D9×#1790 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 99279);