Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
442 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 442 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20299164 | C2 | semidirect |
| 2. #20298925 | C2 | semidirect |
| 3. #20298920 | C2 | semidirect |
| 4. #20298849 | C2 | semidirect |
| 5. #20298834 | C2 | semidirect |
| 6. #20298733 | C2 | semidirect |
| 7. #20298730 | C2 | semidirect |
| 8. #20298564 | C2 | semidirect |
| 9. #466×C113 | C2 | semidirect |
| 11. C2×D4×D113 | C22 | semidirect |
| 14. C2×#14268631 | C22 | semidirect |
| 18. #16813596 | C22 | semidirect |
| 22. #16813580 | C22 | semidirect |
| 23. #16813556 | C22 | semidirect |
| 24. #16813553 | C22 | semidirect |
| 25. #16813544 | C22 | semidirect |
| 26. #16813543 | C22 | semidirect |
| 27. #16813542 | C22 | semidirect |
| 28. #16813534 | C22 | semidirect |
| 29. #16813534 | C22 | semidirect |
| 31. C22×C8×C113 | C22 | semidirect |
| 32. #121×C113 | C22 | semidirect |
| 33. #107×C113 | C22 | semidirect |
| 34. #102×C113 | C22 | semidirect |
| 127. C113 | #3199 | semidirect |
| 133. #466 | D113 | semidirect |
| 143. C22×C8 | C2×D113 | semidirect |
| 149. #121 | C2×D113 | semidirect |
| 154. #107 | C2×D113 | semidirect |
| 159. #102 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299164 | 2 |
| #20298925 | 2 |
| #20298920 | 2 |
| #20298849 | 2 |
| #20298834 | 2 |
| #20298733 | 2 |
| #20298730 | 2 |
| #20298564 | 2 |
| #466×C113 | 2 |
| #3199 | 113 |