Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C3×C5×M16 ⋊ C22 |
| Hall | C3×C5 ⋊ #575 |
| Sylow | C5 ⋊ #5773 |
| Sylow | C3 ⋊ #66082 |
524 conjugacy classes of subgroups.
| transitive degree | μt(G) = 240 |
Polycyclic presentation:
2^6,3,5|c^2=f,d^2=ef,e^2=f,d^a=de,e^a=ef,h^a=h^4,d^b=df,g^b=g^2,d^c=df93 conjugacy classes — view the full character table.
| maximal subgroup of | #14425217, #14425230, #14425244, … |
| maximal normal subgroup of | #14425217, #14425230, #14425244, … |
| maximal quotient of | #14412571, #14412607, #14413423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 8224);