Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | D13×Q64 |
| Fitting | C13×Q64 ⋊ C2 |
| Sylow | C13 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
152 conjugacy classes — view the full character table.
| maximal subgroup of | D13×SD128, D13×Q128, #15783980, … |
| maximal normal subgroup of | D13×SD128, D13×Q128, #15783980, … |
| maximal quotient of | D13×#1416, D13×#1423, #15783502, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6813);