Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D13×#467 |
| Fitting | C13×#467 ⋊ C2 |
| Sylow | C13 ⋊ C2×#467 |
512 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1348, #15773158, D13×#1350, … |
| maximal normal subgroup of | D13×#1348, #15773158, D13×#1350, … |
| maximal quotient of | D13×#1669, D13×#1675, D13×#1683, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 14080);