Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
704 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 704 conjugacy classes of subgroups — too many to draw. Only its 145 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×#15693054 | C2 | semidirect |
| 3. C2×#15693051 | C2 | semidirect |
| 4. #20268367 | C2 | semidirect |
| 5. #20267975 | C2 | semidirect |
| 6. #20267970 | C2 | semidirect |
| 7. #20267809 | C2 | semidirect |
| 8. #20267773 | C2 | semidirect |
| 9. #421×C103 | C2 | semidirect |
| 22. C22×Dic206 | C22 | semidirect |
| 24. #15693054 | C22 | semidirect |
| 26. #15693051 | C22 | semidirect |
| 31. C2×#13110089 | C22 | semidirect |
| 32. #15693021 | C22 | semidirect |
| 33. #15693009 | C22 | semidirect |
| 36. #15692949 | C22 | semidirect |
| 37. #15692939 | C22 | semidirect |
| 38. #15692937 | C22 | semidirect |
| 40. C2×M16×C103 | C22 | semidirect |
| 41. #117×C103 | C22 | semidirect |
| 42. #104×C103 | C22 | semidirect |
| 193. C103 | #3022 | semidirect |
| 201. #421 | D103 | semidirect |
| 226. C2×M16 | C2×D103 | semidirect |
| 231. #117 | C2×D103 | semidirect |
| 233. #104 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268627 | 2 |
| C2×#15693054 | 2 |
| C2×#15693051 | 2 |
| #20268367 | 2 |
| #20267975 | 2 |
| #20267970 | 2 |
| #20267809 | 2 |
| #20267773 | 2 |
| #421×C103 | 2 |
| #3022 | 103 |