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 ⋊ #66014 |
468 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,d^a=df,h^a=h^4,d^b=de,g^b=g^2,d^c=df96 conjugacy classes — view the full character table.
| maximal subgroup of | #14419327, #14419329, #14419543, … |
| maximal normal subgroup of | #14419327, #14419329, #14419543, … |
| maximal quotient of | #14320096, #14320676, #14320686, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7080);