Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C59 ⋊ #1295 |
180 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=e,c^2=f,e^2=g,b^a=bc,c^a=cf,e^a=efg,c^b=cg,h^b=h^58850 conjugacy classes — view the full character table.
| maximal subgroup of | #28476238, #28476239, #28476316, … |
| maximal normal subgroup of | #28476238, #28476239, #28476316, … |
| maximal quotient of | #28475240, #28475253, #28475269, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2391);