Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
396 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 396 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268515 | C2 | semidirect |
| 3. #20268113 | C2 | semidirect |
| 4. #20268073 | C2 | semidirect |
| 5. #20268019 | C2 | semidirect |
| 6. #20267988 | C2 | semidirect |
| 7. #20267954 | C2 | semidirect |
| 8. C4×Dic412 | C2 | semidirect |
| 9. C8×D412 | C2 | semidirect |
| 10. #20267784 | C2 | semidirect |
| 11. #486×C103 | C2 | semidirect |
| 128. C103 | #3304 | semidirect |
| 131. #486 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268515 | 2 |
| #20268461 | 2 |
| #20268113 | 2 |
| #20268073 | 2 |
| #20268019 | 2 |
| #20267988 | 2 |
| #20267954 | 2 |
| C4×Dic412 | 2 |
| C8×D412 | 2 |
| #20267784 | 2 |
| #486×C103 | 2 |
| #3304 | 103 |