Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D5×#942 |
| Fitting | C2×C3×C5×Q8 ⋊ C22 |
| Hall | C3×C5 ⋊ C2×#137 |
| Sylow | C5 ⋊ C2×#942 |
| Sylow | C3 ⋊ D5×#137 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
84 conjugacy classes — view the full character table.
| maximal subgroup of | #14301291, #14301292, #14302769, … |
| maximal normal subgroup of | #14301291, #14301292, #14302769, … |
| maximal quotient of | D5×#5225, D5×#4966, D5×#4964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9278);