Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D13×#444 |
| Fitting | C13×#444 ⋊ C2 |
| Sylow | C13 ⋊ C2×#444 |
464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#2180, D13×AGL(1,ℤ/16), #16016364, … |
| maximal normal subgroup of | D13×#2180, D13×AGL(1,ℤ/16), #16016364, … |
| maximal quotient of | D13×SD16⋊C8, D13×#1579, D13×#1580, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13402);