Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | D13×#432 |
| Fitting | C13×#432 ⋊ C2 |
| Sylow | C13 ⋊ C2×#432 |
488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1285, #15752665, #15752669, … |
| maximal normal subgroup of | D13×#1285, #15752665, #15752669, … |
| maximal quotient of | D13×#1745, D13×#1749, D13×#1767, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13127);