Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
462 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 462 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. #20268501 | C2 | semidirect |
| 3. #20268137 | C2 | semidirect |
| 4. #20268108 | C2 | semidirect |
| 5. #20268082 | C2 | semidirect |
| 6. #20268017 | C2 | semidirect |
| 7. #20267940 | C2 | semidirect |
| 8. C4×#13110092 | C2 | semidirect |
| 9. #20267856 | C2 | semidirect |
| 10. #102×D103 | C2 | semidirect |
| 11. #460×C103 | C2 | semidirect |
| 15. C2×C8×D103 | C22 | semidirect |
| 16. #15693021 | C22 | semidirect |
| 19. #15692997 | C22 | semidirect |
| 26. C4⋊C4×D103 | C22 | semidirect |
| 27. #15692953 | C22 | semidirect |
| 28. #15692952 | C22 | semidirect |
| 29. #15692945 | C22 | semidirect |
| 31. #15692942 | C22 | semidirect |
| 32. #15692942 | C22 | semidirect |
| 34. (C2×D103)⋊C8 | C22 | semidirect |
| 35. C4×C103⋊C8 | C22 | semidirect |
| 36. C2×SD16×C103 | C22 | semidirect |
| 38. C4×Q8×C103 | C22 | semidirect |
| 39. C4⋊C8×C103 | C22 | semidirect |
| 40. #102×C103 | C22 | semidirect |
| 100. D412 | SD16 | semidirect |
| 137. C103 | #3295 | semidirect |
| 144. #460 | D103 | semidirect |
| 152. C2×SD16 | C2×D103 | semidirect |
| 162. C4×Q8 | C2×D103 | semidirect |
| 169. C4⋊C8 | C2×D103 | semidirect |
| 175. #102 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268501 | 2 |
| #20268426 | 2 |
| #20268137 | 2 |
| #20268108 | 2 |
| #20268082 | 2 |
| #20268017 | 2 |
| #20267940 | 2 |
| C4×#13110092 | 2 |
| #20267856 | 2 |
| #102×D103 | 2 |
| #460×C103 | 2 |
| #3295 | 103 |