Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×SD16×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3167 |
412 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^46688 conjugacy classes — view the full character table.
| maximal subgroup of | #26186796, #26186798, #26186823, … |
| maximal normal subgroup of | #26186796, #26186798, #26186823, … |
| maximal quotient of | #26216808, #26220483, #26220485, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15066);