Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #554 |
| Sylow | C5 ⋊ #5730 |
| Sylow | C3 ⋊ #65877 |
456 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 152 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=f,d^2=ef,c^a=cf,d^a=def,h^a=h^4,c^b=ce,g^b=g^2111 conjugacy classes — view the full character table.
| maximal subgroup of | #14288967, #14288985, #14288991, … |
| maximal normal subgroup of | #14288967, #14288985, #14288991, … |
| maximal quotient of | #14326727, #14327050, #14327189, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6836);