Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | #127×C103 ⋊ C2 |
| Sylow | C103 ⋊ #459 |
140 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|b^2=d,e^2=f,b^a=bd,c^a=ce,e^a=ef,e^c=ef,g^c=g^102733 conjugacy classes — view the full character table.
| maximal subgroup of | #27194196, #27194197, #27194206, … |
| maximal normal subgroup of | #27194196, #27194197, #27194206, … |
| maximal quotient of | #27194482, #27194496, #27194506, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 741);