Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×#6772 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C5 ⋊ C22×#235 |
| Sylow | C3 ⋊ C22×#711 |
1780 conjugacy classes of subgroups; only the 568 normal subgroups are shown.
This group has 1780 conjugacy classes of subgroups — too many to draw. Only its 568 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14296823, #14296885, #14296955, … |
| maximal normal subgroup of | #14296823, #14296885, #14296955, … |
| maximal quotient of | C22×#91398, C22×#91358, C22×#91440, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11205);