Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Sylow | C47 ⋊ #2884 |
716 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=f,c^2=g,d^2=g,b^a=be,e^a=eg,h^a=h^46,f^b=fg,d^c=dg823 conjugacy classes — view the full character table.
| maximal subgroup of | #26133870, #26133874, #26133884, … |
| maximal normal subgroup of | #26133870, #26133874, #26133884, … |
| maximal quotient of | #26182107, #26182111, #26182211, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 12974);