Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | D13×#413 |
| Fitting | C13×#413 ⋊ C2 |
| Sylow | C13 ⋊ C2×#413 |
756 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1392, #15777881, D13×#1395, … |
| maximal normal subgroup of | D13×#1392, #15777881, D13×#1395, … |
| maximal quotient of | D13×#1458, D13×#1459, #15828727, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 12981);