Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
452 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 123 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 |
|---|---|---|
| 1. #20299394 | C2 | semidirect |
| 2. C2×#16813641 | C2 | semidirect |
| 3. #131×D113 | C2 | semidirect |
| 4. #20298874 | C2 | semidirect |
| 5. #20298873 | C2 | semidirect |
| 6. #20298865 | C2 | semidirect |
| 7. #20298860 | C2 | semidirect |
| 8. #20298859 | C2 | semidirect |
| 9. #108×D113 | C2 | semidirect |
| 10. #20298579 | C2 | semidirect |
| 11. #472×C113 | C2 | semidirect |
| 25. C2×Dic452 | C22 | semidirect |
| 26. C2×#14268635 | C22 | semidirect |
| 37. #16813558 | C22 | semidirect |
| 38. #16813557 | C22 | semidirect |
| 39. #16813540 | C22 | semidirect |
| 40. #16813540 | C22 | semidirect |
| 41. #16813539 | C22 | semidirect |
| 43. C2×D8×C113 | C22 | semidirect |
| 45. #108×C113 | C22 | semidirect |
| 46. #100×C113 | C22 | semidirect |
| 167. C113 | #3067 | semidirect |
| 174. #472 | D113 | semidirect |
| 195. C2×D8 | C2×D113 | semidirect |
| 209. #108 | C2×D113 | semidirect |
| 213. #100 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299394 | 2 |
| C2×#16813641 | 2 |
| #131×D113 | 2 |
| #20298874 | 2 |
| #20298873 | 2 |
| #20298865 | 2 |
| #20298860 | 2 |
| #20298859 | 2 |
| #108×D113 | 2 |
| #20298579 | 2 |
| #472×C113 | 2 |
| #3067 | 113 |