Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1315 |
116 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=ce,h^a=h^58,c^b=cg,d^b=deg850 conjugacy classes — view the full character table.
| maximal subgroup of | #28476053, #28476054, #28476056, … |
| maximal normal subgroup of | #28476053, #28476054, #28476056, … |
| maximal quotient of | #28475316, #28475318, #28475320, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2436);