Finite Group DatabasebetaFinite Group Databasebeta| order | 14752 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C461 ⋊ M32 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7376 |
Polycyclic presentation:
2^5,461|a^2=c,c^2=d,d^2=e,b^a=be,f^a=f^48,f^b=f^460,f^c=f^460940 conjugacy classes — view the full character table.
| maximal subgroup of | #44442966, #44442967, #44442992, … |
| maximal normal subgroup of | #44442966, #44442967, #44442992, … |
| maximal quotient of | #44442965, #44442971, #44442997, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14752, 221);