Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. C2×#15693012 | C2 | semidirect |
| 3. #20268154 | C2 | direct (N × H) |
| 4. C2×#15692943 | C2 | semidirect |
| 5. C2×#15692942 | C2 | semidirect |
| 6. C2×#15692941 | C2 | semidirect |
| 7. C2×#15692931 | C2 | semidirect |
| 8. C2×#102×C103 | C2 | semidirect |
| 16. #15693012 | C22 | semidirect |
| 21. #15692943 | C22 | semidirect |
| 22. #15692942 | C22 | semidirect |
| 23. #15692941 | C22 | semidirect |
| 24. #15692931 | C22 | semidirect |
| 28. #102×C103 | C22 | semidirect |
| 111. C2×C103 | #490 | semidirect |
| 117. C103 | C2×#490 | semidirect |
| 124. C2×#102 | D103 | semidirect |
| 144. #102 | C2×D103 | semidirect |
| 229. C2 | #20268154 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693017 | 2 |
| C2×#15693012 | 2 |
| #20268154 | 2 |
| C2×#15692943 | 2 |
| C2×#15692942 | 2 |
| C2×#15692941 | 2 |
| C2×#15692931 | 2 |
| C2×#102×C103 | 2 |
| C2×#490 | 103 |