Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 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. C4×#13110106 | C2 | semidirect |
| 3. #20267904 | C2 | semidirect |
| 4. #20267902 | C2 | semidirect |
| 5. #20267898 | C2 | semidirect |
| 6. #20267894 | C2 | semidirect |
| 7. #20267889 | C2 | semidirect |
| 8. #20267826 | C2 | semidirect |
| 9. #20267786 | C2 | semidirect |
| 10. #97×D103 | 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 | #2943 | 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 |
| C4×#13110106 | 2 |
| #20267904 | 2 |
| #20267902 | 2 |
| #20267898 | 2 |
| #20267894 | 2 |
| #20267889 | 2 |
| #20267826 | 2 |
| #20267786 | 2 |
| #97×D103 | 2 |
| #441×C103 | 2 |
| #2943 | 103 |