Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
462 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 462 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. #20268498 | C2 | semidirect |
| 2. #20268137 | C2 | semidirect |
| 3. #20268107 | C2 | semidirect |
| 4. #20268081 | C2 | semidirect |
| 5. #20268018 | C2 | semidirect |
| 6. #20267988 | C2 | semidirect |
| 7. #20267942 | C2 | semidirect |
| 8. C4×#13110093 | C2 | semidirect |
| 9. D4×C103⋊C8 | C2 | semidirect |
| 10. C2×#15692942 | C2 | semidirect |
| 13. C2×#13110093 | C22 | semidirect |
| 14. C22×C103⋊C8 | C22 | semidirect |
| 15. #15693021 | C22 | semidirect |
| 17. #15693000 | C22 | semidirect |
| 19. C4×Dic206 | C22 | semidirect |
| 21. C2×C4⋊Dic103 | C22 | semidirect |
| 22. #15692952 | C22 | semidirect |
| 23. #15692952 | C22 | semidirect |
| 24. C4⋊(C103⋊C8) | C22 | semidirect |
| 25. #15692944 | C22 | semidirect |
| 28. #15692942 | C22 | semidirect |
| 29. #15692942 | C22 | semidirect |
| 30. #15692942 | C22 | semidirect |
| 31. C22⋊(C103⋊C8) | C22 | semidirect |
| 32. C4×C103⋊C8 | C22 | semidirect |
| 90. D4×C103 | SD16 | semidirect |
| 137. C103 | #3295 | semidirect |
| 230. D4 | #13110093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268498 | 2 |
| #20268137 | 2 |
| #20268107 | 2 |
| #20268081 | 2 |
| #20268018 | 2 |
| #20267988 | 2 |
| #20267942 | 2 |
| C4×#13110093 | 2 |
| D4×C103⋊C8 | 2 |
| C2×#15692942 | 2 |
| D42×C103 | 2 |
| #3295 | 103 |