Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C461 ⋊ #108 |
30 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=d,b^2=c,c^2=e,d^2=e,b^a=bc,c^a=ce,f^a=f^48,f^b=f^460,f^d=f^460934 conjugacy classes — view the full character table.
| maximal subgroup of | #44442990, #44442991, #44443004, … |
| maximal normal subgroup of | #44442990, #44442991, #44443004, … |
| maximal quotient of | #44442938, #44442939, #44442952, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 217);