Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | D13×#364 |
| Fitting | C13×#364 ⋊ C2 |
| Sylow | C13 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 208 |
224 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#1335, #15772704, D13×#1336, … |
| maximal normal subgroup of | D13×#1335, #15772704, D13×#1336, … |
| maximal quotient of | D13×#1367, #15774462, D13×#1370, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6271);