Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C4×C8×C59 ⋊ C2 |
| Sylow | C59 ⋊ #3168 |
380 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=g,c^2=f,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^581900 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28498671, #28498674, #28498676, … |
| maximal normal subgroup of | #28498671, #28498674, #28498676, … |
| maximal quotient of | #28589236, #28592898, #28592908, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 15080);