Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
504 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 504 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#15693049 | C2 | semidirect |
| 2. C2×#15693043 | C2 | semidirect |
| 3. #20268360 | C2 | semidirect |
| 4. #20268271 | C2 | semidirect |
| 5. #20268014 | C2 | semidirect |
| 6. #20268007 | C2 | semidirect |
| 7. #20267992 | C2 | semidirect |
| 8. #20267987 | C2 | semidirect |
| 9. #20267793 | C2 | semidirect |
| 10. C2×#15692943 | C2 | semidirect |
| 11. #424×C103 | C2 | semidirect |
| 17. C2×Dic412 | C22 | semidirect |
| 19. C2×#13110094 | C22 | semidirect |
| 20. C2×#13110094 | C22 | semidirect |
| 22. C2×D824 | C22 | semidirect |
| 28. C4×Dic206 | C22 | semidirect |
| 29. C4×D412 | C22 | semidirect |
| 34. #15692946 | C22 | semidirect |
| 37. #15692943 | C22 | semidirect |
| 41. C4⋊C8×C103 | C22 | semidirect |
| 42. C4⋊C8×C103 | C22 | semidirect |
| 47. #13110105 | D4 | semidirect |
| 155. C103 | #3045 | semidirect |
| 164. #424 | D103 | semidirect |
| 192. C4⋊C8 | C2×D103 | semidirect |
| 193. C4⋊C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693049 | 2 |
| C2×#15693043 | 2 |
| #20268360 | 2 |
| #20268271 | 2 |
| #20268014 | 2 |
| #20268007 | 2 |
| #20267992 | 2 |
| #20267987 | 2 |
| #20267793 | 2 |
| C2×#15692943 | 2 |
| #424×C103 | 2 |
| #3045 | 103 |