Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
500 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 500 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 |
|---|---|---|
| 1. C2×#15693043 | C2 | semidirect |
| 2. C22×#13110088 | C2 | semidirect |
| 3. #20268303 | C2 | semidirect |
| 4. #20268050 | C2 | semidirect |
| 5. #20268045 | C2 | semidirect |
| 6. #20268038 | C2 | semidirect |
| 7. #20267785 | C2 | semidirect |
| 8. #427×C103 | C2 | semidirect |
| 12. C2×Dic412 | C22 | semidirect |
| 13. C2×#13110094 | C22 | semidirect |
| 14. C2×D824 | C22 | semidirect |
| 24. #15692944 | C22 | semidirect |
| 25. #15692941 | C22 | semidirect |
| 28. #107×C103 | C22 | semidirect |
| 29. #106×C103 | C22 | semidirect |
| 54. C2×C8×C103 | D4 | semidirect |
| 106. C103 | #3054 | semidirect |
| 113. #427 | D103 | semidirect |
| 132. #107 | C2×D103 | semidirect |
| 133. #106 | C2×D103 | semidirect |
| 157. C2×C8 | D412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693043 | 2 |
| C22×#13110088 | 2 |
| #20268303 | 2 |
| #20268050 | 2 |
| #20268045 | 2 |
| #20268038 | 2 |
| #20267785 | 2 |
| #427×C103 | 2 |
| #3054 | 103 |