Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×M16×C47 ⋊ C2 |
| Sylow | C47 ⋊ #3055 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,47|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^46,d^b=dg952 conjugacy classes — view the full character table.
| maximal subgroup of | #26253701, #26253706, #26253723, … |
| maximal normal subgroup of | #26253701, #26253706, #26253723, … |
| maximal quotient of | #26199046, #26199068, #26199090, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 14129);