Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×#137 ⋊ C2 |
| Hall | C3×C5 ⋊ #578 |
| Sylow | C5 ⋊ #5779 |
| Sylow | C3 ⋊ #66113 |
496 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=f,e^2=f,b^a=bf,g^a=g^2,h^a=h^4,d^b=df,d^c=de,e^c=ef,e^d=ef99 conjugacy classes — view the full character table.
| maximal subgroup of | #14457797, #14457803, #14457809, … |
| maximal normal subgroup of | #14457797, #14457803, #14457809, … |
| maximal quotient of | #14412712, #14412715, #14413505, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10733);