Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Fitting | C59×#536 ⋊ C2 |
| Sylow | C59 ⋊ #3225 |
376 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=eg,d^2=g,f^2=g,b^a=be,c^a=cf,d^a=de,f^a=fg,h^a=h^58,c^b=ce,d^b=dg,f^c=fg664 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#3225, C2×#21435205, #29460100, … |
| maximal normal subgroup of | D59×#3225, C2×#21435205, #29460100, … |
| maximal quotient of | #28598074, #28598462, #28599302, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 15619);