Finite Group DatabasebetaFinite Group Databasebeta| order | 1664 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | D13×C4⋊C16 |
| Fitting | C13×C4⋊C16 ⋊ C2 |
| Sylow | C13 ⋊ C2×C4⋊C16 |
184 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
320 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D13×D4⋊C16, #15772620, D13×#1330, … |
| maximal normal subgroup of | D13×D4⋊C16, #15772620, D13×#1330, … |
| maximal quotient of | D13×#1367, D13×#1370, #15774516, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1664, 6261);