Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | D5×#832 |
| Hall | C3×C5 ⋊ C2×#102 |
| Sylow | C5 ⋊ C2×#832 |
| Sylow | C3 ⋊ D5×#102 |
404 conjugacy classes of subgroups; only the 112 normal subgroups are shown.
This group has 404 conjugacy classes of subgroups — too many to draw. Only its 112 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
96 conjugacy classes — view the full character table.
| maximal subgroup of | AGL(1,𝔽5)×#832, #14295736, #14295841, … |
| maximal normal subgroup of | AGL(1,𝔽5)×#832, #14295736, #14295841, … |
| maximal quotient of | D5×D4⋊(C3⋊C8), #14281787, #14282085, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3144);