Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #124×C103 ⋊ C2 |
| Sylow | C103 ⋊ #454 |
146 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|c^2=f,d^2=f,b^a=bd,c^a=ce,d^a=df,d^b=df,e^b=ef,g^b=g^102,d^c=df730 conjugacy classes — view the full character table.
| maximal subgroup of | #27193294, #27193296, #27197161, … |
| maximal normal subgroup of | #27193294, #27193296, #27197161, … |
| maximal quotient of | #27194071, #27194078, #27194083, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 721);