Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#942 |
| Fitting | C22×C3×C5×Q8 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#137 |
| Sylow | C3 ⋊ C2×C5×#137 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
210 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#70348, C5×#69693, #14301267, … |
| maximal normal subgroup of | C5×#70348, C5×#69693, #14301267, … |
| maximal quotient of | C2×C5×#5225, C2×C5×#4966, C2×C5×#4964, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10388);