Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C2×C3×D5×#41 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C22×#41 |
| Sylow | C5 ⋊ C22×C3×#41 |
1780 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
240 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10605011, #14297056, C3×#10601173, … |
| maximal normal subgroup of | C3×#10605011, #14297056, C3×#10601173, … |
| maximal quotient of | C2×C3×D5×#117, C2×C3×C4×D4×D5, C2×C3×C4×Q8×D5, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11298);