Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C59 ⋊ #1376 |
148 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=e,c^2=g,d^2=f,f^2=g,b^a=bc,c^a=cg,e^a=eg,h^a=h^581912 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28475442, #28475443, #28475444, … |
| maximal normal subgroup of | #28475442, #28475443, #28475444, … |
| maximal quotient of | #28475521, #28475533, #28475540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2592);