Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C22×M16×C59 ⋊ C2 |
| Sylow | C59 ⋊ #3055 |
548 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=e,e^2=g,b^a=be,c^a=cf,e^a=eg,h^a=h^58,d^b=dg1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28626112, #28626117, #28626134, … |
| maximal normal subgroup of | #28626112, #28626117, #28626134, … |
| maximal quotient of | #28571457, #28571479, #28571501, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14129);