Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C47 ⋊ #3162 |
348 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|a^2=e,b^2=e,c^2=f,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^46,c^b=cg952 conjugacy classes — view the full character table.
| maximal subgroup of | #26111231, #26117268, #26117269, … |
| maximal normal subgroup of | #26111231, #26117268, #26117269, … |
| maximal quotient of | #26216701, #26219631, #26220855, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 15034);