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 ⋊ #5538 |
| Sylow | C3 ⋊ #65813 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,d^2=e,b^a=be,c^a=cf,h^a=h^4,g^b=g^2144 conjugacy classes — view the full character table.
| maximal subgroup of | #14419169, #14419170, #14419187, … |
| maximal normal subgroup of | #14419169, #14419170, #14419187, … |
| maximal quotient of | #14320080, #14320619, #14320620, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8427);