Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
288 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 89 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20298334 | C2 | semidirect |
| 5. C22×Dic226 | C4 | semidirect |
| 9. #16813601 | C4 | semidirect |
| 11. C2×C4⋊Dic113 | C4 | semidirect |
| 99. C113 | #1520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813601 | 2 |
| C2×C22⋊#11744751 | 2 |
| #20298334 | 2 |
| #380×C113 | 2 |
| #1520 | 113 |