Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×#41×C59 ⋊ C2 |
| Sylow | C59 ⋊ #3102 |
396 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=g,d^2=e,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^58,f^c=fg1198 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28558589, #28558595, #28558640, … |
| maximal normal subgroup of | #28558589, #28558595, #28558640, … |
| maximal quotient of | #28588717, #28591617, #28591639, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14528);