Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D5×#235 |
| Fitting | C22×C3×C4×C5 ⋊ C22 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C5 ⋊ C22×#235 |
| Sylow | C3 ⋊ C2×D5×#41 |
1780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #14297082, #14297083, #14297103, … |
| maximal normal subgroup of | #14297082, #14297083, #14297103, … |
| maximal quotient of | C2×D5×#872, C2×D5×#926, C2×C4×D5×#67, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11211);