Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D5×#816 |
| Hall | C3×C5 ⋊ C2×#103 |
| Sylow | C5 ⋊ C2×#816 |
| Sylow | C3 ⋊ D5×#103 |
324 conjugacy classes of subgroups; only the 102 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 102 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 | #14295786, AGL(1,𝔽5)×#816, #14295892, … |
| maximal normal subgroup of | #14295786, AGL(1,𝔽5)×#816, #14295892, … |
| maximal quotient of | D5×#4456, #14281839, #14282137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 1799);