Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91831 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#137 |
| Sylow | C5 ⋊ C2×#942 |
| Sylow | C3 ⋊ C2×#4088 |
516 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 171 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
162 conjugacy classes — view the full character table.
| maximal subgroup of | #14301226, #14301244, #14301266, … |
| maximal normal subgroup of | #14301226, #14301244, #14301266, … |
| maximal quotient of | C2×#11751326, C2×#11751067, C2×#11751065, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10762);