Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×#41×C59 ⋊ C2 |
| Sylow | C59 ⋊ #3115 |
430 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|b^2=g,d^2=eg,f^2=g,b^a=be,c^a=cf,f^a=fg,h^a=h^58,d^c=dg,f^c=fg1192 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28484496, #28484498, #28484503, … |
| maximal normal subgroup of | #28484496, #28484498, #28484503, … |
| maximal quotient of | #28588772, #28591720, #28591750, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 14661);