Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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. #20268413 | C2 | semidirect |
| 2. #20268195 | C2 | semidirect |
| 3. #20268176 | C2 | semidirect |
| 4. #20268152 | C2 | semidirect |
| 5. #20268040 | C2 | semidirect |
| 6. #20268029 | C2 | semidirect |
| 8. #20267889 | C2 | semidirect |
| 9. C4×D824 | C2 | semidirect |
| 10. #20267745 | C2 | semidirect |
| 11. C4×Q16×C103 | C2 | semidirect |
| 118. C103 | #3175 | semidirect |
| 127. C4×Q16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268413 | 2 |
| #20268195 | 2 |
| #20268176 | 2 |
| #20268152 | 2 |
| #20268040 | 2 |
| #20268029 | 2 |
| #20268028 | 2 |
| #20267889 | 2 |
| C4×D824 | 2 |
| #20267745 | 2 |
| C4×Q16×C103 | 2 |
| #3175 | 103 |