Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
410 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 410 conjugacy classes of subgroups — too many to draw. Only its 117 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. #20268362 | C2 | semidirect |
| 3. #20268133 | C2 | semidirect |
| 4. #20268116 | C2 | semidirect |
| 5. #20268037 | C2 | semidirect |
| 6. #20268020 | C2 | semidirect |
| 7. #20267944 | C2 | semidirect |
| 8. #20267932 | C2 | semidirect |
| 9. #408×C103 | C2 | semidirect |
| 10. C22×Dic206 | C22 | semidirect |
| 21. #15693000 | C22 | semidirect |
| 27. #15692980 | C22 | semidirect |
| 28. #15692955 | C22 | semidirect |
| 29. #15692953 | C22 | semidirect |
| 30. #15692946 | C22 | semidirect |
| 31. #15692946 | C22 | semidirect |
| 35. C2×M16×C103 | C22 | semidirect |
| 36. C22×C8×C103 | C22 | semidirect |
| 38. C22⋊C8×C103 | C22 | semidirect |
| 138. C103 | #3200 | semidirect |
| 147. #408 | D103 | semidirect |
| 153. C2×M16 | C2×D103 | semidirect |
| 154. C22×C8 | C2×D103 | semidirect |
| 176. C22⋊C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268362 | 2 |
| #20268355 | 2 |
| #20268133 | 2 |
| #20268116 | 2 |
| #20268037 | 2 |
| #20268020 | 2 |
| #20267944 | 2 |
| #20267932 | 2 |
| #408×C103 | 2 |
| #3200 | 103 |