Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Hall | C3×C5 ⋊ #551 |
| Sylow | C5 ⋊ #5659 |
| Sylow | C3 ⋊ #66039 |
496 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|b^2=f,c^2=e,b^a=bf,d^a=de,h^a=h^4,d^b=de,g^b=g^2,d^c=def87 conjugacy classes — view the full character table.
| maximal subgroup of | #14483272, C2×#11753151, D3×#66039, … |
| maximal normal subgroup of | #14483272, C2×#11753151, D3×#66039, … |
| maximal quotient of | #14326350, #14326365, #14326509, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 7346);