Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C59×#449 ⋊ C2 |
| Sylow | C59 ⋊ #3006 |
806 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|d^2=g,e^2=g,b^a=be,c^a=cf,d^a=dg,e^a=eg,e^b=eg,h^c=h^58,h^d=h^58583 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#3006, C2×#21433345, #29455077, … |
| maximal normal subgroup of | D59×#3006, C2×#21433345, #29455077, … |
| maximal quotient of | #28561081, #28561120, #28561159, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13759);