Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×C3⋊#168 |
| Hall | C3×C5 ⋊ C8×D4 |
| Sylow | C5 ⋊ D4×C3⋊C8 |
| Sylow | C3 ⋊ D4×#168 |
268 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #14286065, D8×C3⋊#168, #14286091, … |
| maximal normal subgroup of | #14286065, D8×C3⋊#168, #14286091, … |
| maximal quotient of | D8×C3⋊#168, SD16×C3⋊#168, Q16×C3⋊#168, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 5306);