Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
528 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 528 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20268266 | C2 | semidirect |
| 3. #20268265 | C2 | semidirect |
| 4. #20267900 | C2 | semidirect |
| 5. #20267871 | C2 | semidirect |
| 6. #20267827 | C2 | semidirect |
| 7. #20267797 | C2 | semidirect |
| 8. #20267749 | C2 | semidirect |
| 9. #418×C103 | C2 | semidirect |
| 11. C2×#13110090 | C4 | semidirect |
| 17. D4×Dic103 | C22 | semidirect |
| 18. #15692983 | C22 | semidirect |
| 23. #15692954 | C22 | semidirect |
| 24. #15692952 | C22 | semidirect |
| 25. #15692943 | C22 | semidirect |
| 26. #15692931 | C22 | semidirect |
| 27. C8×Dic103 | C22 | semidirect |
| 31. #102×C103 | C22 | semidirect |
| 35. C2×D412 | C2×C4 | semidirect |
| 39. #13110090 | C2×C4 | semidirect |
| 40. #13110090 | C2×C4 | semidirect |
| 41. C2×C103⋊C8 | C2×C4 | semidirect |
| 55. C2×D4×C103 | C2×C4 | semidirect |
| 109. C103 | #2948 | semidirect |
| 117. #418 | D103 | semidirect |
| 138. #102 | C2×D103 | semidirect |
| 149. C2×D4 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13110090 | 2 |
| #20268266 | 2 |
| #20268265 | 2 |
| #20267900 | 2 |
| #20267871 | 2 |
| #20267827 | 2 |
| #20267797 | 2 |
| #20267749 | 2 |
| #418×C103 | 2 |
| #2948 | 103 |