Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C59 ⋊ #1424 |
56 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,59|a^2=d,b^2=ceg,c^2=ef,e^2=fg,f^2=g,b^a=bc,c^a=ce,e^a=ef,f^a=fg,h^a=h^581894 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28476576, #28476577, #28476595, … |
| maximal normal subgroup of | #28476576, #28476577, #28476595, … |
| maximal quotient of | #28476368, #28476390, #28476595, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 2712);