Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | Dic5×#208 |
| Hall | C3×C5 ⋊ C4×M16 |
| Sylow | C5 ⋊ C4×#208 |
| Sylow | C3 ⋊ M16×Dic5 |
284 conjugacy classes of subgroups; only the 144 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 144 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14276785, #14276786, #14276898, … |
| maximal normal subgroup of | #14276785, #14276786, #14276898, … |
| maximal quotient of | #168×#208, #14280398, #14280517, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 2512);