Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
370 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20299399 | C2 | semidirect |
| 2. #20299034 | C2 | semidirect |
| 3. #20299032 | C2 | semidirect |
| 4. #20299030 | C2 | semidirect |
| 5. #20299027 | C2 | semidirect |
| 6. D16×D113 | C2 | semidirect |
| 7. #20299014 | C2 | semidirect |
| 8. C2×D16×C113 | C2 | semidirect |
| 12. #16813644 | C22 | semidirect |
| 13. #16813641 | C22 | semidirect |
| 14. D8×D113 | C22 | semidirect |
| 16. Dic904 | C22 | semidirect |
| 17. #16813567 | C22 | semidirect |
| 18. #16813566 | C22 | semidirect |
| 19. D1808 | C22 | semidirect |
| 20. #16813563 | C22 | semidirect |
| 21. #16813562 | C22 | semidirect |
| 22. #16813561 | C22 | semidirect |
| 23. C16×D113 | C22 | semidirect |
| 24. C2×D8×C113 | C22 | semidirect |
| 25. D16×C113 | C22 | semidirect |
| 26. D16×C113 | C22 | semidirect |
| 27. C2×C16×C113 | C22 | semidirect |
| 85. C113 | #3415 | semidirect |
| 92. C2×D16 | D113 | semidirect |
| 100. C2×D8 | C2×D113 | semidirect |
| 107. D16 | C2×D113 | semidirect |
| 108. D16 | C2×D113 | semidirect |
| 112. C2×C16 | C2×D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20299399 | 2 |
| #20299034 | 2 |
| #20299032 | 2 |
| #20299030 | 2 |
| #20299027 | 2 |
| D16×D113 | 2 |
| #20299014 | 2 |
| C2×D16×C113 | 2 |
| #3415 | 113 |