Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #700 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C3×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×C3×#704 |
| Hall | C3×C5 ⋊ C22×M16 |
| Sylow | C5 ⋊ C22×C3×M16 |
596 conjugacy classes of subgroups; only the 312 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 312 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10604895, #14294328, C3×#10604223, … |
| maximal normal subgroup of | C3×#10604895, #14294328, C3×#10604223, … |
| maximal quotient of | C22×C3×#4002, C2×C3×C4×#704, C22×C3×C22⋊#170, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11171);