Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6652 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×#6656 |
| Hall | C3×C5 ⋊ C22×SD16 |
| Sylow | C5 ⋊ C22×#215 |
| Sylow | C3 ⋊ C22×#687 |
596 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 192 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
120 conjugacy classes — view the full character table.
| maximal subgroup of | #14300886, #14300892, #14300911, … |
| maximal normal subgroup of | #14300886, #14300892, #14300911, … |
| maximal quotient of | C22×#90966, C22×#90970, C22×#90986, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8343);