Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
458 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20268557 | C2 | semidirect |
| 3. #20267914 | C2 | semidirect |
| 4. #20267909 | C2 | semidirect |
| 5. #20267840 | C2 | semidirect |
| 6. C2×#15692949 | C2 | semidirect |
| 7. C4×M16×C103 | C2 | semidirect |
| 9. #15693054 | C4 | semidirect |
| 10. #15693049 | C4 | semidirect |
| 13. #15693027 | C22 | semidirect |
| 16. #15692957 | C22 | semidirect |
| 17. #15692949 | C22 | semidirect |
| 18. #15692949 | C22 | semidirect |
| 22. #97×C103 | C22 | semidirect |
| 23. C4×C8×C103 | C22 | semidirect |
| 32. Dic412 | C2×C4 | semidirect |
| 33. #13110094 | C2×C4 | semidirect |
| 34. D824 | C2×C4 | semidirect |
| 86. C103 | #2956 | semidirect |
| 93. C4×M16 | D103 | semidirect |
| 108. #97 | C2×D103 | semidirect |
| 109. C4×C8 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268591 | 2 |
| #20268557 | 2 |
| #20267914 | 2 |
| #20267909 | 2 |
| #20267840 | 2 |
| C2×#15692949 | 2 |
| C4×M16×C103 | 2 |
| #2956 | 103 |