Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | C59×#364 ⋊ C2 |
| Sylow | C59 ⋊ #1335 |
100 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,c^2=eg,d^2=f,e^2=g,f^2=g,b^a=bc,c^a=ce,e^a=eg,c^b=ce,e^b=eg,h^b=h^58856 conjugacy classes — view the full character table.
| maximal subgroup of | D59×#1335, C2×#21422068, #28498474, … |
| maximal normal subgroup of | D59×#1335, C2×#21422068, #28498474, … |
| maximal quotient of | #28475337, #28475340, #28475355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2482);