Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C25×C3 · Schur multiplier (H2) = C29 |
| direct product | C2×C3×#4150 |
| Fitting | C2×C3×C5×#41 ⋊ C2 |
| Hall | C3×C5 ⋊ C2×2−1+4 |
| Sylow | C5 ⋊ C2×C3×2−1+4 |
1588 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
222 conjugacy classes — view the full character table.
| maximal subgroup of | C3×#10601101, C3×#10601180, #14297239, … |
| maximal normal subgroup of | C3×#10601101, C3×#10601180, #14297239, … |
| maximal quotient of | C2×C3×#65906, C2×C3×#65850, C2×C3×#65880, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11300);