Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×D3×Q16 |
| Fitting | C2×C3×C5×Q16 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×Q16 |
| Sylow | C3 ⋊ C22×C5×Q16 |
516 conjugacy classes of subgroups; only the 222 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 222 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
210 conjugacy classes — view the full character table.
| maximal subgroup of | C5×D3×#358, D3×#64784, C5×#69222, … |
| maximal normal subgroup of | C5×D3×#358, D3×#64784, C5×#69222, … |
| maximal quotient of | C2×C5×D3×#103, C2×C5×D3×#107, C4×C5×D3×Q16, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10343);