Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of #213 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C25 |
| direct product | C2×C5×#950 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×#135 |
| Sylow | C3 ⋊ C2×C5×#135 |
532 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#70390, C5×#70377, C5×#72010, … |
| maximal normal subgroup of | C5×#70390, C5×#70377, C5×#72010, … |
| maximal quotient of | C2×C5×#5002, C2×C5×#5233, C2×C5×#4998, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10401);