Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
404 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 404 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. #20268419 | C2 | semidirect |
| 3. #20268154 | C2 | semidirect |
| 4. #20268152 | C2 | semidirect |
| 5. #20268147 | C2 | semidirect |
| 6. #20268136 | C2 | semidirect |
| 7. #20267795 | C2 | semidirect |
| 8. #20267792 | C2 | semidirect |
| 9. C2×#15692943 | C2 | semidirect |
| 10. #20267746 | C2 | semidirect |
| 11. #416×C103 | C2 | semidirect |
| 15. #15693020 | C22 | semidirect |
| 18. #15693012 | C22 | semidirect |
| 26. #15692945 | C22 | semidirect |
| 29. #15692942 | C22 | semidirect |
| 32. #15692931 | C22 | semidirect |
| 33. C8×Dic103 | C22 | semidirect |
| 37. #103×C103 | C22 | semidirect |
| 38. #103×C103 | C22 | semidirect |
| 39. #102×C103 | C22 | semidirect |
| 40. #102×C103 | C22 | semidirect |
| 136. C103 | #3136 | semidirect |
| 145. #416 | D103 | semidirect |
| 166. #103 | C2×D103 | semidirect |
| 167. #103 | C2×D103 | semidirect |
| 173. #102 | C2×D103 | semidirect |
| 174. #102 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268419 | 2 |
| #20268355 | 2 |
| #20268154 | 2 |
| #20268152 | 2 |
| #20268147 | 2 |
| #20268136 | 2 |
| #20267795 | 2 |
| #20267792 | 2 |
| C2×#15692943 | 2 |
| #20267746 | 2 |
| #416×C103 | 2 |
| #3136 | 103 |