Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#6819 |
| Fitting | C3×C4×C5×D4 ⋊ C2 |
| Hall | C3×C5 ⋊ C4×#41 |
| Sylow | C5 ⋊ C4×#237 |
| Sylow | C3 ⋊ C4×#711 |
620 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
180 conjugacy classes — view the full character table.
| maximal subgroup of | #14281556, #14281584, #14281619, … |
| maximal normal subgroup of | #14281556, #14281584, #14281619, … |
| maximal quotient of | C4×#91766, C4×#91781, C4×#91770, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10490);