Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | D461⋊M16 |
| Sylow | C461 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3688 |
Polycyclic presentation:
2^5,461|a^2=d,d^2=e,b^a=be,f^a=f^48,f^c=f^460,f^d=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442943, #44442945, #44442947, … |
| maximal normal subgroup of | #44442943, #44442945, #44442947, … |
| maximal quotient of | #44443035, C4×#20301510, C4×#20301511, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 231);