Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D13×#460 |
| Fitting | C13×#460 ⋊ C2 |
| Sylow | C13 ⋊ C2×#460 |
584 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1622, D13×#1620, D13×#1627, … |
| maximal normal subgroup of | D13×#1622, D13×#1620, D13×#1627, … |
| maximal quotient of | D13×#1666, D13×#1668, D13×#1670, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13938);