Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C103 ⋊ #481 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|c^2=df,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 | #27194164, #27194165, #27194175, … |
| maximal normal subgroup of | #27194164, #27194165, #27194175, … |
| maximal quotient of | #27195232, #27195336, #27195462, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 865);