Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D13×#383 |
| Fitting | C13×#383 ⋊ C2 |
| Sylow | C13 ⋊ C2×#383 |
624 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1288, #15752773, D13×#1514, … |
| maximal normal subgroup of | D13×#1288, #15752773, D13×#1514, … |
| maximal quotient of | D13×#1434, #15784152, Dic13×#383, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6898);