Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20299075 | C2 | semidirect |
| 4. #20298697 | C2 | semidirect |
| 5. #20298685 | C2 | semidirect |
| 6. #20298606 | C2 | semidirect |
| 8. #20298553 | C2 | semidirect |
| 9. #427×C113 | C2 | semidirect |
| 12. C2×#14268636 | C4 | semidirect |
| 17. #16813587 | C22 | semidirect |
| 23. #16813545 | C22 | semidirect |
| 25. #16813532 | C22 | semidirect |
| 26. C8×Dic113 | C22 | semidirect |
| 30. #107×C113 | C22 | semidirect |
| 31. #106×C113 | C22 | semidirect |
| 35. C2×Dic226 | C2×C4 | semidirect |
| 43. #14268636 | C2×C4 | semidirect |
| 44. #14268636 | C2×C4 | semidirect |
| 54. C2×C8×C113 | C2×C4 | semidirect |
| 104. C113 | #2949 | semidirect |
| 110. #427 | D113 | semidirect |
| 130. #107 | C2×D113 | semidirect |
| 131. #106 | C2×D113 | semidirect |
| 152. C2×C8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268636 | 2 |
| #20299075 | 2 |
| #20299072 | 2 |
| #20298697 | 2 |
| #20298685 | 2 |
| #20298606 | 2 |
| #20298602 | 2 |
| #20298553 | 2 |
| #427×C113 | 2 |
| #2949 | 113 |