Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C3×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×C3×#3966 |
| Hall | C3×C5 ⋊ C2×#99 |
| Sylow | C5 ⋊ C2×C3×#99 |
420 conjugacy classes of subgroups; only the 142 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 142 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
186 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10598128, C3×#10598189, #14279061, … |
| maximal normal subgroup of | C3×#10598128, C3×#10598189, #14279061, … |
| maximal quotient of | C2×C3×#64745, C2×C3×#64748, C3×#10602393, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4311);