Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C59 ⋊ #3163 |
340 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=e,b^2=e,c^2=f,f^2=g,b^a=be,c^a=cf,f^a=fg,d^b=dg,h^c=h^58670 conjugacy classes — view the full character table.
| maximal subgroup of | #28647569, #28647573, #28647580, … |
| maximal normal subgroup of | #28647569, #28647573, #28647580, … |
| maximal quotient of | #28589129, #28592045, #28592059, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 15036);