Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C59×#537 ⋊ C2 |
| Sylow | C59 ⋊ #3012 |
764 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|d^2=g,e^2=g,b^a=be,c^a=cf,e^a=eg,e^b=eg,h^b=h^58,d^c=dg670 conjugacy classes — view the full character table.
| maximal subgroup of | #28620138, #28620141, #28620156, … |
| maximal normal subgroup of | #28620138, #28620141, #28620156, … |
| maximal quotient of | #28561890, #28561923, #28561978, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13811);