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 ⋊ #5642 |
| Sylow | C3 ⋊ #65875 |
428 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=e,b^2=ef,d^2=e,c^a=cf,d^a=de,h^a=h^4,c^b=cf,g^b=g^2111 conjugacy classes — view the full character table.
| maximal subgroup of | #14458710, #14458720, #14458728, … |
| maximal normal subgroup of | #14458710, #14458720, #14458728, … |
| maximal quotient of | #14326473, #14326626, #14326835, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8399);