Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C103 ⋊ #455 |
152 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^102,d^b=df,e^b=ef,d^c=df883 conjugacy classes — view the full character table.
| maximal subgroup of | #27197131, #27197132, #27197143, … |
| maximal normal subgroup of | #27197131, #27197132, #27197143, … |
| maximal quotient of | #27194096, #27194101, #27194124, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 727);