Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Hall | C3×C5 ⋊ #408 |
| Sylow | C5 ⋊ #5234 |
| Sylow | C3 ⋊ #65775 |
316 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 93 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=d,d^2=f,c^a=ce,g^a=g^2,h^a=h^3,c^b=cf,h^d=h^478 conjugacy classes — view the full character table.
| maximal subgroup of | #14279080, #14279089, #14279099, … |
| maximal normal subgroup of | #14279080, #14279089, #14279099, … |
| maximal quotient of | #14281186, #14281188, #14281246, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6629);