Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C2×C4⋊C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3035 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,f^c=fg,h^c=h^46958 conjugacy classes — view the full character table.
| maximal subgroup of | #26111164, #26111166, #26111171, … |
| maximal normal subgroup of | #26111164, #26111166, #26111171, … |
| maximal quotient of | #26198702, #26198717, #26198728, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13967);