Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C59×#452 ⋊ C2 |
| Sylow | C59 ⋊ #3005 |
758 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|c^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,h^a=h^58,e^b=eg,h^d=h^58583 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#3005, C2×#21433339, #29455077, … |
| maximal normal subgroup of | D59×#3005, C2×#21433339, #29455077, … |
| maximal quotient of | #28561075, #28561114, #28561153, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13753);