Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Hall | C3×C5 ⋊ #536 |
| Sylow | C5 ⋊ #5628 |
| Sylow | C3 ⋊ #66150 |
540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=f,b^a=bf,d^a=de,h^a=h^4,g^b=g^2,d^c=df96 conjugacy classes — view the full character table.
| maximal subgroup of | #14424332, #14424333, #14424404, … |
| maximal normal subgroup of | #14424332, #14424333, #14424404, … |
| maximal quotient of | #14322488, #14322554, #14322951, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9426);