Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | D13×#533 |
| Fitting | C13×#533 ⋊ C2 |
| Sylow | C13 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1481, D13×#1485, #15829463, … |
| maximal normal subgroup of | D13×#1481, D13×#1485, #15829463, … |
| maximal quotient of | D13×#2285, D13×#2295, D13×#2296, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 17795);