Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
698 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 698 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 |
|---|---|---|
| 1. C2×#15693068 | C2 | semidirect |
| 2. #20268591 | C2 | semidirect |
| 3. #20268589 | C2 | semidirect |
| 4. #20268367 | C2 | semidirect |
| 5. #20267975 | C2 | semidirect |
| 6. #20267965 | C2 | semidirect |
| 7. #20267809 | C2 | semidirect |
| 8. C2×#15692939 | C2 | semidirect |
| 9. #421×C103 | C2 | semidirect |
| 23. #15693054 | C22 | semidirect |
| 25. #15693051 | C22 | semidirect |
| 27. #15693049 | C22 | semidirect |
| 29. #15693046 | C22 | semidirect |
| 33. #15693021 | C22 | semidirect |
| 34. #15693009 | C22 | semidirect |
| 37. #15692949 | C22 | semidirect |
| 38. #15692939 | C22 | semidirect |
| 42. #104×C103 | C22 | semidirect |
| 186. C103 | #3020 | semidirect |
| 194. #421 | D103 | semidirect |
| 227. #104 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693068 | 2 |
| #20268591 | 2 |
| #20268589 | 2 |
| #20268367 | 2 |
| #20267975 | 2 |
| #20267965 | 2 |
| #20267809 | 2 |
| C2×#15692939 | 2 |
| #421×C103 | 2 |
| #3020 | 103 |