Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×M16 ⋊ C22 |
| Hall | C3×C5 ⋊ #568 |
| Sylow | C5 ⋊ #5745 |
| Sylow | C3 ⋊ #66084 |
516 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|d^2=e,e^2=f,d^a=df,h^a=h^4,c^b=cf,g^b=g^2,d^c=df114 conjugacy classes — view the full character table.
| maximal subgroup of | #14418129, #14418138, #14418177, … |
| maximal normal subgroup of | #14418129, #14418138, #14418177, … |
| maximal quotient of | #14411407, #14411416, #14411555, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8209);