Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Hall | C5×C11 ⋊ #131 |
| Sylow | C11 ⋊ #4133 |
| Sylow | C5 ⋊ #67001 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
Polycyclic presentation:
2^5,5,11|a^2=d,b^2=e,c^2=e,d^2=e,f^a=f^2,g^a=g^10,c^b=ce,f^d=f^4125 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1161);