Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C461 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=d,d^2=e,f^a=f^48,c^b=ce,f^b=f^460,f^c=f^460,f^d=f^460595 conjugacy classes — view the full character table.
| maximal subgroup of | #44443119, #44443120, #44443121, … |
| maximal normal subgroup of | #44443119, #44443120, #44443121, … |
| maximal quotient of | #44443041, #44443051, #44443083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 234);