Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C103 ⋊ #458 |
160 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=f,b^a=bd,c^a=ce,g^a=g^102,e^b=ef,d^c=df883 conjugacy classes — view the full character table.
| maximal subgroup of | #27197132, #27197133, #27197138, … |
| maximal normal subgroup of | #27197132, #27197133, #27197138, … |
| maximal quotient of | #27194130, #27194135, #27194141, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 739);