Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
532 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268336 | C2 | semidirect |
| 2. C2×#15693017 | C2 | semidirect |
| 3. #20268166 | C2 | semidirect |
| 4. #20268136 | C2 | semidirect |
| 5. #20267985 | C2 | semidirect |
| 6. #20267984 | C2 | semidirect |
| 7. #20267927 | C2 | semidirect |
| 8. #20267925 | C2 | semidirect |
| 9. #20267924 | C2 | semidirect |
| 10. #20267841 | C2 | semidirect |
| 11. #447×C103 | C2 | semidirect |
| 16. C2×D824 | C22 | semidirect |
| 17. C2×#13110090 | C22 | semidirect |
| 18. C2×#13110090 | C22 | semidirect |
| 19. #15693020 | C22 | semidirect |
| 24. #15693017 | C22 | semidirect |
| 28. D4×Dic103 | C22 | semidirect |
| 29. #15692983 | C22 | semidirect |
| 32. Dic103⋊C8 | C22 | semidirect |
| 33. #15692943 | C22 | semidirect |
| 34. #15692942 | C22 | semidirect |
| 35. #15692941 | C22 | semidirect |
| 37. C8×Dic103 | C22 | semidirect |
| 39. C2×D8×C103 | C22 | semidirect |
| 41. #102×C103 | C22 | semidirect |
| 117. C2×Dic103 | D8 | semidirect |
| 165. C103 | #3205 | semidirect |
| 175. #447 | D103 | semidirect |
| 185. C2×D8 | C2×D103 | semidirect |
| 204. #102 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268336 | 2 |
| C2×#15693017 | 2 |
| #20268166 | 2 |
| #20268136 | 2 |
| #20267985 | 2 |
| #20267984 | 2 |
| #20267927 | 2 |
| #20267925 | 2 |
| #20267924 | 2 |
| #20267841 | 2 |
| #447×C103 | 2 |
| #3205 | 103 |