Finite Group DatabasebetaFinite Group Databasebeta| order | 6592 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | #107×C103 ⋊ C2 |
| Sylow | C103 ⋊ #427 |
114 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,103|a^2=e,b^2=d,c^2=f,d^2=f,b^a=bd,d^a=df,g^b=g^102,g^c=g^102742 conjugacy classes — view the full character table.
| maximal subgroup of | #27196848, #27196850, #27196858, … |
| maximal normal subgroup of | #27196848, #27196850, #27196858, … |
| maximal quotient of | #27193891, #27193906, #27193923, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6592, 586);