Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #529 |
| Sylow | C5 ⋊ #5680 |
| Sylow | C3 ⋊ #65914 |
468 conjugacy classes of subgroups; only the 134 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 134 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|b^2=e,c^2=f,d^2=f,c^a=cf,d^a=de,h^a=h^4,g^b=g^2,d^c=df102 conjugacy classes — view the full character table.
| maximal subgroup of | #14283965, #14284172, #14284321, … |
| maximal normal subgroup of | #14283965, #14284172, #14284321, … |
| maximal quotient of | #14320111, #14320650, #14320852, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 9399);