Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D13×#430 |
| Fitting | C13×#430 ⋊ C2 |
| Sylow | C13 ⋊ C2×#430 |
460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1858, #15863763, D13×#1861, … |
| maximal normal subgroup of | D13×#1858, #15863763, D13×#1861, … |
| maximal quotient of | D13×#1565, #15831900, D13×#1569, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13114);