Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #6654 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#6654 |
| Hall | C3×C5 ⋊ C22×D8 |
| Sylow | C5 ⋊ C22×D24 |
| Sylow | C3 ⋊ C22×#686 |
676 conjugacy classes of subgroups; only the 192 normal subgroups are shown.
This group has 676 conjugacy classes of subgroups — too many to draw. Only its 192 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
132 conjugacy classes — view the full character table.
| maximal subgroup of | #14301027, #14301029, #14301033, … |
| maximal normal subgroup of | #14301027, #14301029, #14301033, … |
| maximal quotient of | C22×#90969, C22×#90967, C22×#90988, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8336);