Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C5 · Schur multiplier (H2) = C26 |
| direct product | C5×D4×#67 |
| Fitting | C22×C3×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ D42 |
| Sylow | C3 ⋊ C5×D42 |
856 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
225 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#83952, C5×#80012, C5×#83837, … |
| maximal normal subgroup of | C5×#83952, C5×#80012, C5×#83837, … |
| maximal quotient of | C5×D4×(C2×D3)⋊C4, C5×C22⋊C4×#67, C5×D4×#217, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10381);