Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C103 ⋊ #499 |
86 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=d,b^2=df,c^2=e,e^2=f,b^a=bd,c^a=ce,e^a=ef,g^b=g^102,g^c=g^102736 conjugacy classes — view the full character table.
| maximal subgroup of | #27197299, #27197300, #27197303, … |
| maximal normal subgroup of | #27197299, #27197300, #27197303, … |
| maximal quotient of | #27195307, #27195871, #27195875, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 950);