Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×C22⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3002 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^46,e^b=eg,h^b=h^46958 conjugacy classes — view the full character table.
| maximal subgroup of | #26111386, #26111388, #26188386, … |
| maximal normal subgroup of | #26111386, #26111388, #26188386, … |
| maximal quotient of | #26188388, #26188439, #26188490, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13732);