Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C59 ⋊ #2947 |
470 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=f,b^2=g,c^2=f,e^2=g,b^a=be,e^a=eg,h^a=h^58,e^b=eg,d^c=dg,h^c=h^58682 conjugacy classes — view the full character table.
| maximal subgroup of | #28609483, #28609487, #28609501, … |
| maximal normal subgroup of | #28609483, #28609487, #28609501, … |
| maximal quotient of | #28558139, #28558330, #28558351, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13354);