Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D5×#836 |
| Hall | C3×C5 ⋊ C2×#101 |
| Sylow | C5 ⋊ C2×#836 |
| Sylow | C3 ⋊ D5×#101 |
292 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | #14279145, #14279146, AGL(1,𝔽5)×#836, … |
| maximal normal subgroup of | #14279145, #14279146, AGL(1,𝔽5)×#836, … |
| maximal quotient of | D5×#4528, #14280939, #14281001, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 3563);