Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C4 |
No aliases for this group.
| Fitting | C3×C4×C5×C8 ⋊ C2 |
| Hall | C3×C5 ⋊ #493 |
| Sylow | C5 ⋊ #4695 |
| Sylow | C3 ⋊ #64984 |
324 conjugacy classes of subgroups.
| transitive degree | μt(G) = 480 |
Polycyclic presentation:
2^6,3,5|b^2=e,c^2=df,d^2=f,b^a=be,c^a=cd,d^a=df,g^a=g^2,h^a=h^4246 conjugacy classes — view the full character table.
| maximal subgroup of | #14278387, #14278394, #14278449, … |
| maximal normal subgroup of | #14278387, #14278394, #14278449, … |
| maximal quotient of | #14293443, #14293557, #14293625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 4991);