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. #20299076 | C2 | semidirect |
| 4. #20298701 | C2 | semidirect |
| 5. #20298683 | C2 | semidirect |
| 6. #20298634 | C2 | semidirect |
| 8. #20298556 | C2 | semidirect |
| 9. #419×C113 | C2 | semidirect |
| 11. C2×#14268634 | C4 | semidirect |
| 16. Q8×Dic113 | C22 | semidirect |
| 23. #16813555 | C22 | semidirect |
| 24. #16813553 | C22 | semidirect |
| 26. #16813532 | C22 | semidirect |
| 27. C8×Dic113 | C22 | semidirect |
| 31. #103×C113 | C22 | semidirect |
| 38. #14268634 | C2×C4 | semidirect |
| 39. #14268634 | C2×C4 | semidirect |
| 40. C2×#11744751 | C2×C4 | semidirect |
| 54. C2×Q8×C113 | C2×C4 | semidirect |
| 104. C113 | #2949 | semidirect |
| 111. #419 | D113 | semidirect |
| 132. #103 | C2×D113 | semidirect |
| 139. C2×Q8 | C4×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#14268634 | 2 |
| #20299076 | 2 |
| #20299072 | 2 |
| #20298701 | 2 |
| #20298683 | 2 |
| #20298634 | 2 |
| #20298604 | 2 |
| #20298556 | 2 |
| #419×C113 | 2 |
| #2949 | 113 |