Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C5×C11×Q16 ⋊ C2 |
| Hall | C5×C11 ⋊ #135 |
| Sylow | C11 ⋊ #4065 |
| Sylow | C5 ⋊ #66972 |
124 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
Polycyclic presentation:
2^5,5,11|b^2=e,c^2=e,d^2=e,b^a=be,c^a=ce,f^a=f^4,g^a=g^10,c^b=cd,d^b=de,d^c=de203 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 1027);