Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #552 |
| Sylow | C5 ⋊ #5581 |
| Sylow | C3 ⋊ #65863 |
428 conjugacy classes of subgroups; only the 130 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 130 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=f,c^2=ef,d^2=e,b^a=be,h^a=h^4,d^b=def,g^b=g^2,d^c=def105 conjugacy classes — view the full character table.
| maximal subgroup of | #14458678, #14458750, #14458804, … |
| maximal normal subgroup of | #14458678, #14458750, #14458804, … |
| maximal quotient of | #14326455, #14326623, #14326840, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7556);