Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C59 ⋊ #1425 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=ce,c^2=ef,d^2=g,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^b=h^58676 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1425, C2×#21422299, #28509201, … |
| maximal normal subgroup of | D59×#1425, C2×#21422299, #28509201, … |
| maximal quotient of | #28476365, #28476367, #28476391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2713);