Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#91785 |
| Fitting | C2×C3×C5×C4⋊C4 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×C22⋊Q8 |
| Sylow | C5 ⋊ C2×#896 |
| Sylow | C3 ⋊ C2×#4042 |
644 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 644 conjugacy classes of subgroups — too many to draw. Only its 187 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #14281364, #14281384, C4×#91785, … |
| maximal normal subgroup of | #14281364, #14281384, C4×#91785, … |
| maximal quotient of | C2×#11750768, C2×#11751090, C2×#11750769, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10462);