Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
458 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 177 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. #20268557 | C2 | semidirect |
| 3. #20267912 | C2 | semidirect |
| 4. #20267907 | C2 | semidirect |
| 5. C2×#15692947 | C2 | semidirect |
| 6. M16×Dic103 | C2 | semidirect |
| 7. #430×C103 | C2 | semidirect |
| 9. #15693054 | C4 | semidirect |
| 10. #15693049 | C4 | semidirect |
| 12. #15693029 | C22 | semidirect |
| 17. #15692947 | C22 | semidirect |
| 18. #15692947 | C22 | semidirect |
| 19. #15692931 | C22 | semidirect |
| 20. C8×Dic103 | C22 | semidirect |
| 23. #108×C103 | C22 | semidirect |
| 33. Dic412 | C2×C4 | semidirect |
| 34. #13110094 | C2×C4 | semidirect |
| 35. D824 | C2×C4 | semidirect |
| 86. C103 | #2956 | semidirect |
| 91. #430 | D103 | semidirect |
| 105. #108 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268591 | 2 |
| #20268557 | 2 |
| #20267912 | 2 |
| #20267907 | 2 |
| C2×#15692947 | 2 |
| M16×Dic103 | 2 |
| #430×C103 | 2 |
| #2956 | 103 |