Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
500 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 127 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. C2×#15693044 | C2 | semidirect |
| 2. C2×M16×D103 | C2 | semidirect |
| 3. #20268304 | C2 | semidirect |
| 4. #20268046 | C2 | semidirect |
| 5. #20268045 | C2 | semidirect |
| 6. #20268044 | C2 | semidirect |
| 7. #20268040 | C2 | semidirect |
| 8. #20268039 | C2 | semidirect |
| 9. #20267826 | C2 | semidirect |
| 10. #20267786 | C2 | semidirect |
| 11. #470×C103 | C2 | semidirect |
| 15. C2×#13110092 | C22 | semidirect |
| 16. C2×D824 | C22 | semidirect |
| 31. #15692954 | C22 | semidirect |
| 32. #15692953 | C22 | semidirect |
| 33. #15692945 | C22 | semidirect |
| 34. #15692943 | C22 | semidirect |
| 35. #15692941 | C22 | semidirect |
| 36. C2×Q16×C103 | C22 | semidirect |
| 39. #106×C103 | C22 | semidirect |
| 40. #103×C103 | C22 | semidirect |
| 64. C8×D103 | D4 | semidirect |
| 141. C103 | #3054 | semidirect |
| 146. #470 | D103 | semidirect |
| 156. C2×Q16 | C2×D103 | semidirect |
| 177. #106 | C2×D103 | semidirect |
| 179. #103 | C2×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693044 | 2 |
| C2×M16×D103 | 2 |
| #20268304 | 2 |
| #20268046 | 2 |
| #20268045 | 2 |
| #20268044 | 2 |
| #20268040 | 2 |
| #20268039 | 2 |
| #20267826 | 2 |
| #20267786 | 2 |
| #470×C103 | 2 |
| #3054 | 103 |