Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 175 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. #20268273 | C2 | semidirect |
| 3. #20267904 | C2 | semidirect |
| 4. #20267902 | C2 | semidirect |
| 5. #20267898 | C2 | semidirect |
| 6. C4×#13110092 | C2 | semidirect |
| 7. #20267876 | C2 | semidirect |
| 8. #106×D103 | C2 | semidirect |
| 9. #20267791 | C2 | semidirect |
| 10. #20267748 | C2 | semidirect |
| 11. #441×C103 | C2 | semidirect |
| 13. #15693044 | C4 | semidirect |
| 41. #13110106 | C2×C4 | semidirect |
| 49. #13110092 | C2×C4 | semidirect |
| 50. D824 | C2×C4 | semidirect |
| 54. C8×D103 | C2×C4 | semidirect |
| 65. Q16×C103 | C2×C4 | semidirect |
| 115. C103 | #2952 | semidirect |
| 121. #441 | D103 | semidirect |
| 165. Q16 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693044 | 2 |
| #20268273 | 2 |
| #20267904 | 2 |
| #20267902 | 2 |
| #20267898 | 2 |
| C4×#13110092 | 2 |
| #20267876 | 2 |
| #106×D103 | 2 |
| #20267791 | 2 |
| #20267748 | 2 |
| #441×C103 | 2 |
| #2952 | 103 |