Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
472 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 472 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. C2×#15692995 | C2 | semidirect |
| 2. #20268124 | C2 | semidirect |
| 3. #20268115 | C2 | semidirect |
| 4. #20268107 | C2 | semidirect |
| 5. #20268025 | C2 | semidirect |
| 6. #20268022 | C2 | semidirect |
| 7. #20267941 | C2 | semidirect |
| 8. #20267936 | C2 | semidirect |
| 9. #20267924 | C2 | semidirect |
| 10. C2×C22⋊(C103⋊C8) | C2 | semidirect |
| 11. #525×C103 | C2 | semidirect |
| 14. C2×#13110092 | C22 | semidirect |
| 15. C2×#13110090 | C22 | semidirect |
| 16. C22×C103⋊C8 | C22 | semidirect |
| 23. #15692954 | C22 | semidirect |
| 24. #15692952 | C22 | semidirect |
| 25. #15692945 | C22 | semidirect |
| 26. #15692942 | C22 | semidirect |
| 27. #15692941 | C22 | semidirect |
| 28. #15692941 | C22 | semidirect |
| 31. C22⋊(C103⋊C8) | C22 | semidirect |
| 32. C2×#41×C103 | C22 | semidirect |
| 36. C22⋊Q8×C103 | C22 | semidirect |
| 38. #121×C103 | C22 | semidirect |
| 42. #117×C103 | C22 | semidirect |
| 159. C103 | #3188 | semidirect |
| 160. #525 | D103 | semidirect |
| 171. C2×#41 | C2×D103 | semidirect |
| 180. C22⋊Q8 | C2×D103 | semidirect |
| 186. #121 | C2×D103 | semidirect |
| 190. #117 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692995 | 2 |
| #20268124 | 2 |
| #20268115 | 2 |
| #20268107 | 2 |
| #20268025 | 2 |
| #20268022 | 2 |
| #20267941 | 2 |
| #20267936 | 2 |
| #20267924 | 2 |
| C2×C22⋊(C103⋊C8) | 2 |
| #525×C103 | 2 |
| #3188 | 103 |