Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11719164 |
| unambiguous semidirect product | D13⋊#417 |
| Fitting | C2×C13×#41 ⋊ C4 |
| Sylow | C13 ⋊ C2×#417 |
816 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
104 conjugacy classes — view the full character table.
| maximal subgroup of | #16785452, #16785453, #16785472, … |
| maximal normal subgroup of | #16785452, #16785453, #16785472, … |
| maximal quotient of | C2×#13130131, D13⋊#1477, C2×#13130132, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 21129);