Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #556 |
| Sylow | C5 ⋊ #5584 |
| Sylow | C3 ⋊ #66005 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|a^2=e,c^2=f,d^2=ef,d^a=de,h^a=h^4,c^b=cf,d^b=de,g^b=g^2105 conjugacy classes — view the full character table.
| maximal subgroup of | #14471621, #14471638, #14471642, … |
| maximal normal subgroup of | #14471621, #14471638, #14471642, … |
| maximal quotient of | #14326921, #14327721, #14327809, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6780);