Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C27 |
| direct product | C2×#91771 |
| Fitting | C2×C3×C5×C22⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#120 |
| Sylow | C5 ⋊ C2×#882 |
| Sylow | C3 ⋊ C2×#4028 |
1324 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1324 conjugacy classes of subgroups — too many to draw. Only its 219 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 240 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14301617, #14301648, #14302040, … |
| maximal normal subgroup of | #14301617, #14301648, #14302040, … |
| maximal quotient of | C2×#11751056, C2×#11750769, C2×#11751051, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10441);