Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
440 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 131 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. #20268346 | C2 | semidirect |
| 3. #20268094 | C2 | semidirect |
| 4. #20268093 | C2 | semidirect |
| 5. #20268082 | C2 | semidirect |
| 6. #20268081 | C2 | semidirect |
| 7. #20268068 | C2 | semidirect |
| 8. #20267832 | C2 | semidirect |
| 9. #20267813 | C2 | semidirect |
| 11. #474×C103 | C2 | semidirect |
| 15. #15693021 | C22 | semidirect |
| 16. #15693012 | C22 | semidirect |
| 30. #15692954 | C22 | semidirect |
| 31. #15692953 | C22 | semidirect |
| 32. #15692952 | C22 | semidirect |
| 33. C4⋊(C103⋊C8) | C22 | semidirect |
| 34. Dic103⋊C8 | C22 | semidirect |
| 38. C4⋊Q8×C103 | C22 | semidirect |
| 40. #107×C103 | C22 | semidirect |
| 41. C4⋊C8×C103 | C22 | semidirect |
| 48. D4×D103 | Q8 | semidirect |
| 145. C103 | #3077 | semidirect |
| 153. #474 | D103 | semidirect |
| 161. C4⋊Q8 | C2×D103 | semidirect |
| 178. #107 | C2×D103 | semidirect |
| 183. C4⋊C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268346 | 2 |
| C4×D4×D103 | 2 |
| #20268094 | 2 |
| #20268093 | 2 |
| #20268082 | 2 |
| #20268081 | 2 |
| #20268068 | 2 |
| #20267832 | 2 |
| #20267813 | 2 |
| #20267794 | 2 |
| #474×C103 | 2 |
| #3077 | 103 |