Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×AGL(1,ℤ/8) ⋊ C2 |
| Hall | C3×C5 ⋊ #576 |
| Sylow | C5 ⋊ #5774 |
| Sylow | C3 ⋊ #66108 |
536 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|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 | #14457662, #14457668, #14457674, … |
| maximal normal subgroup of | #14457662, #14457668, #14457674, … |
| maximal quotient of | #14412625, #14412628, #14413505, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 10728);