Finite Group DatabasebetaFinite Group Databasebeta| order | 1760 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Hall | C5×C11 ⋊ #124 |
| Sylow | C11 ⋊ #4021 |
| Sylow | C5 ⋊ #66989 |
152 conjugacy classes of subgroups.
| transitive degree | μt(G) = 880 |
Polycyclic presentation:
2^5,5,11|a^2=e,c^2=de,b^a=bd,g^a=g^10,c^b=cde,f^b=f^4176 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1760, 539);