Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#91992 |
| Hall | C3×C5 ⋊ C2×#131 |
| Sylow | C5 ⋊ C2×#948 |
| Sylow | C3 ⋊ C2×#4133 |
532 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
90 conjugacy classes — view the full character table.
| maximal subgroup of | #14295521, #14295564, #14295924, … |
| maximal normal subgroup of | #14295521, #14295564, #14295924, … |
| maximal quotient of | C2×#11752360, C4×#91992, C2×#11752446, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11183);