Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1400 |
74 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,d^2=e,e^2=f,f^2=g,b^a=bc,c^a=cg,h^a=h^58,d^b=dg1204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28476031, #28476032, #28476033, … |
| maximal normal subgroup of | #28476031, #28476032, #28476033, … |
| maximal quotient of | #28476028, #28476088, #28476130, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2650);