Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
452 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 452 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20268587 | C2 | semidirect |
| 2. C2×#15693040 | C2 | semidirect |
| 3. #131×D103 | C2 | semidirect |
| 4. #20268067 | C2 | semidirect |
| 5. #20268066 | C2 | semidirect |
| 6. #20268058 | C2 | semidirect |
| 7. #20268053 | C2 | semidirect |
| 8. #20268052 | C2 | semidirect |
| 9. #108×D103 | C2 | semidirect |
| 10. #20267772 | C2 | semidirect |
| 11. #472×C103 | C2 | semidirect |
| 25. C2×Dic412 | C22 | semidirect |
| 26. C2×#13110093 | C22 | semidirect |
| 37. #15692957 | C22 | semidirect |
| 38. #15692956 | C22 | semidirect |
| 39. #15692939 | C22 | semidirect |
| 40. #15692939 | C22 | semidirect |
| 41. #15692938 | C22 | semidirect |
| 43. C2×D8×C103 | C22 | semidirect |
| 45. #108×C103 | C22 | semidirect |
| 46. #100×C103 | C22 | semidirect |
| 167. C103 | #3067 | semidirect |
| 174. #472 | D103 | semidirect |
| 195. C2×D8 | C2×D103 | semidirect |
| 209. #108 | C2×D103 | semidirect |
| 213. #100 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268587 | 2 |
| C2×#15693040 | 2 |
| #131×D103 | 2 |
| #20268067 | 2 |
| #20268066 | 2 |
| #20268058 | 2 |
| #20268053 | 2 |
| #20268052 | 2 |
| #108×D103 | 2 |
| #20267772 | 2 |
| #472×C103 | 2 |
| #3067 | 103 |