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. #20268149 | C2 | semidirect |
| 5. #20268144 | C2 | semidirect |
| 6. #20268136 | C2 | semidirect |
| 7. #20267793 | C2 | semidirect |
| 8. #20267785 | C2 | semidirect |
| 9. C2×#15692942 | C2 | semidirect |
| 10. #20267749 | C2 | semidirect |
| 11. #418×C103 | C2 | semidirect |
| 15. #15693020 | C22 | semidirect |
| 18. #15693012 | C22 | semidirect |
| 26. #15692946 | C22 | semidirect |
| 27. #15692944 | C22 | semidirect |
| 28. #15692944 | C22 | semidirect |
| 29. #15692943 | C22 | semidirect |
| 32. #15692941 | C22 | semidirect |
| 33. #15692941 | C22 | semidirect |
| 34. #15692931 | C22 | semidirect |
| 35. C8×Dic103 | C22 | semidirect |
| 136. C103 | #3136 | semidirect |
| 143. #418 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268419 | 2 |
| #20268358 | 2 |
| #20268154 | 2 |
| #20268149 | 2 |
| #20268144 | 2 |
| #20268136 | 2 |
| #20267793 | 2 |
| #20267785 | 2 |
| C2×#15692942 | 2 |
| #20267749 | 2 |
| #418×C103 | 2 |
| #3136 | 103 |