Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
454 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20268605 | C2 | semidirect |
| 2. #20268603 | C2 | semidirect |
| 3. #20268593 | C2 | semidirect |
| 4. #20268175 | C2 | semidirect |
| 5. #20268067 | C2 | semidirect |
| 6. #20268062 | C2 | semidirect |
| 7. #20268054 | C2 | semidirect |
| 8. #20267970 | C2 | semidirect |
| 9. #20267965 | C2 | semidirect |
| 10. #20267909 | C2 | semidirect |
| 11. #443×C103 | C2 | semidirect |
| 12. #15693068 | C22 | semidirect |
| 16. #15693051 | C22 | semidirect |
| 19. #15693049 | C22 | semidirect |
| 26. C2×Dic412 | C22 | semidirect |
| 29. C2×#13110094 | C22 | semidirect |
| 33. #15693027 | C22 | semidirect |
| 34. #15693009 | C22 | semidirect |
| 35. #15692957 | C22 | semidirect |
| 37. #15692949 | C22 | semidirect |
| 38. #15692939 | C22 | semidirect |
| 39. #15692937 | C22 | semidirect |
| 41. #131×C103 | C22 | semidirect |
| 42. #108×C103 | C22 | semidirect |
| 43. #104×C103 | C22 | semidirect |
| 44. C4×C8×C103 | C22 | semidirect |
| 150. C103 | #3290 | semidirect |
| 161. #443 | D103 | semidirect |
| 185. #131 | C2×D103 | semidirect |
| 188. #108 | C2×D103 | semidirect |
| 191. #104 | C2×D103 | semidirect |
| 194. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268605 | 2 |
| #20268603 | 2 |
| #20268593 | 2 |
| #20268175 | 2 |
| #20268067 | 2 |
| #20268062 | 2 |
| #20268054 | 2 |
| #20267970 | 2 |
| #20267965 | 2 |
| #20267909 | 2 |
| #443×C103 | 2 |
| #3290 | 103 |