Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
468 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 468 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15693000 | C2 | semidirect |
| 3. #20268122 | C2 | semidirect |
| 4. #20268110 | C2 | semidirect |
| 5. #20268020 | C2 | semidirect |
| 6. #20267944 | C2 | semidirect |
| 7. #20267932 | C2 | semidirect |
| 8. C2×C22⋊C8×C103 | C2 | semidirect |
| 9. C22×Dic206 | C22 | semidirect |
| 12. C2×#13110094 | C22 | semidirect |
| 16. #15693000 | C22 | semidirect |
| 22. C2×C4⋊Dic103 | C22 | semidirect |
| 26. #15692953 | C22 | semidirect |
| 27. #15692946 | C22 | semidirect |
| 28. #15692943 | C22 | semidirect |
| 30. C22×C8×C103 | C22 | semidirect |
| 32. C22⋊C8×C103 | C22 | semidirect |
| 69. C23×C103 | SD16 | semidirect |
| 130. C103 | #3187 | semidirect |
| 138. C2×C22⋊C8 | D103 | semidirect |
| 144. C22×C8 | C2×D103 | semidirect |
| 162. C22⋊C8 | C2×D103 | semidirect |
| 203. C23 | #13110094 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693000 | 2 |
| C2×#15692995 | 2 |
| #20268122 | 2 |
| #20268110 | 2 |
| #20268020 | 2 |
| #20267944 | 2 |
| #20267932 | 2 |
| C2×C22⋊C8×C103 | 2 |
| #3187 | 103 |