Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
532 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 532 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. #20268342 | C2 | semidirect |
| 2. #127×D103 | C2 | semidirect |
| 3. #20268168 | C2 | semidirect |
| 4. #20268167 | C2 | semidirect |
| 5. #20268139 | C2 | semidirect |
| 6. #20267985 | C2 | semidirect |
| 7. #20267926 | C2 | semidirect |
| 8. #20267842 | C2 | semidirect |
| 9. #486×C103 | C2 | semidirect |
| 14. C2×D824 | C22 | semidirect |
| 15. C2×#13110090 | C22 | semidirect |
| 17. #15693018 | C22 | semidirect |
| 25. #15692983 | C22 | semidirect |
| 27. Dic103⋊C8 | C22 | semidirect |
| 28. #15692941 | C22 | semidirect |
| 30. C4×C103⋊C8 | C22 | semidirect |
| 31. C4⋊Q8×C103 | C22 | semidirect |
| 33. #102×C103 | C22 | semidirect |
| 34. C4×C8×C103 | C22 | semidirect |
| 101. C4×D103 | D8 | semidirect |
| 133. C103 | #3205 | semidirect |
| 139. #486 | D103 | semidirect |
| 149. C4⋊Q8 | C2×D103 | semidirect |
| 164. #102 | C2×D103 | semidirect |
| 167. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268342 | 2 |
| #127×D103 | 2 |
| #20268168 | 2 |
| #20268167 | 2 |
| #20268139 | 2 |
| #20267985 | 2 |
| #20267926 | 2 |
| #20267842 | 2 |
| #486×C103 | 2 |
| #3205 | 103 |