Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
492 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 213 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 |
|---|---|---|
| 3. #20267832 | C2 | semidirect |
| 4. #20267830 | C2 | semidirect |
| 5. #20267829 | C2 | semidirect |
| 6. #20267827 | C2 | semidirect |
| 7. #427×C103 | C2 | semidirect |
| 9. C2×#13110088 | C4 | semidirect |
| 20. #15692955 | C22 | semidirect |
| 21. #15692954 | C22 | semidirect |
| 22. #15692953 | C22 | semidirect |
| 23. #15692952 | C22 | semidirect |
| 26. #107×C103 | C22 | semidirect |
| 27. #106×C103 | C22 | semidirect |
| 35. #13110088 | C2×C4 | semidirect |
| 36. #13110088 | C2×C4 | semidirect |
| 37. C2×C103⋊C8 | C2×C4 | semidirect |
| 46. C2×C8×C103 | C2×C4 | semidirect |
| 88. C103 | #2911 | semidirect |
| 95. #427 | D103 | semidirect |
| 112. #107 | C2×D103 | semidirect |
| 115. #106 | C2×D103 | semidirect |
| 128. C2×C8 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110088 | 2 |
| #117×D103 | 2 |
| #20267832 | 2 |
| #20267830 | 2 |
| #20267829 | 2 |
| #20267827 | 2 |
| #427×C103 | 2 |
| #2911 | 103 |