Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
332 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 2. #20299066 | C2 | semidirect |
| 3. #20298614 | C2 | semidirect |
| 4. C2×#16813548 | C2 | semidirect |
| 5. #20298571 | C2 | semidirect |
| 6. #20298359 | C2 | semidirect |
| 7. #344×C113 | C2 | semidirect |
| 11. #16813655 | C4 | semidirect |
| 13. #16813650 | C4 | semidirect |
| 37. C2×Dic226 | C2×C4 | semidirect |
| 39. C2×D452 | C2×C4 | semidirect |
| 64. M16×C113 | C2×C4 | semidirect |
| 130. C113 | #1906 | semidirect |
| 136. #344 | D113 | semidirect |
| 185. M16 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299398 | 2 |
| #20299066 | 2 |
| #20298614 | 2 |
| C2×#16813548 | 2 |
| #20298571 | 2 |
| #20298359 | 2 |
| #344×C113 | 2 |
| #1906 | 113 |