Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | D13×#464 |
| Fitting | C13×#464 ⋊ C2 |
| Sylow | C13 ⋊ C2×#464 |
500 conjugacy classes of subgroups.
| transitive degree | μt(G) = 416 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D13×#464, D13×#3035, D13×#3037, … |
| maximal normal subgroup of | C2×D13×#464, D13×#3035, D13×#3037, … |
| maximal quotient of | D13×#1678, D13×#1680, D13×#1682, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 13950);