Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #108×C103 ⋊ C2 |
| Sylow | C103 ⋊ #472 |
108 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|b^2=df,d^2=f,e^2=f,b^a=bd,c^a=ce,d^a=df,e^a=ef,g^a=g^102,e^c=ef,g^c=g^102730 conjugacy classes — view the full character table.
| maximal subgroup of | #27197102, #27197104, #27197109, … |
| maximal normal subgroup of | #27197102, #27197104, #27197109, … |
| maximal quotient of | #27194500, #27194505, #27194544, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 820);