Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D15×#131 |
| Fitting | C3×C5×#131 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ D3×#131 |
| Sylow | C3 ⋊ D5×#131 |
532 conjugacy classes of subgroups; only the 205 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 205 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×#350, #14312978, #14313001, … |
| maximal normal subgroup of | D15×#350, #14312978, #14313001, … |
| maximal quotient of | D15×#405, #131×Dic15, #14411452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10703);