Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1371 |
70 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=ce,c^2=eg,d^2=f,e^2=g,b^a=bc,c^a=ce,e^a=eg,h^b=h^58856 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1371, C2×#21422167, #28500272, … |
| maximal normal subgroup of | D59×#1371, C2×#21422167, #28500272, … |
| maximal quotient of | #28475428, #28475558, #28476365, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2581);