Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C22×#6650 |
| Hall | C3×C5 ⋊ C22×M16 |
| Sylow | C5 ⋊ C22×ΓL(1,𝔽25) |
| Sylow | C3 ⋊ C22×#681 |
596 conjugacy classes of subgroups; only the 272 normal subgroups are shown.
This group has 596 conjugacy classes of subgroups — too many to draw. Only its 272 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 | #14294316, #14294319, #14294352, … |
| maximal normal subgroup of | #14294316, #14294319, #14294352, … |
| maximal quotient of | C22×#90953, C2×C4×#6650, C22×(C2×D3)⋊#168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8327);