Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C59×#416 ⋊ C2 |
| Sylow | C59 ⋊ #3035 |
496 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=e,d^2=g,f^2=g,b^a=be,c^a=cf,f^a=fg,h^b=h^58,f^c=fg,h^c=h^58850 conjugacy classes — view the full character table.
| maximal subgroup of | #28595131, #28595132, #28595142, … |
| maximal normal subgroup of | #28595131, #28595132, #28595142, … |
| maximal quotient of | #28571109, #28571117, #28571124, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13963);