Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | D15×M32 |
| Fitting | C3×C5×M32 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×M32 |
| Sylow | C5 ⋊ D3×M32 |
| Sylow | C3 ⋊ D5×M32 |
180 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | D15×#347, #14312721, #14312748, … |
| maximal normal subgroup of | D15×#347, #14312721, #14312748, … |
| maximal quotient of | D15×#346, M32×Dic15, #14312583, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5202);