Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
272 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20267845 | C2 | semidirect |
| 3. #20267636 | C2 | semidirect |
| 4. #20267526 | C2 | semidirect |
| 5. #20267525 | C2 | semidirect |
| 6. #20267524 | C2 | semidirect |
| 7. #327×C103 | C2 | semidirect |
| 9. #15693020 | C4 | semidirect |
| 10. #15693017 | C4 | semidirect |
| 14. D4×Dic103 | C4 | semidirect |
| 15. #15692983 | C4 | semidirect |
| 120. C103 | #1505 | semidirect |
| 127. #327 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268336 | 2 |
| #20267845 | 2 |
| #20267636 | 2 |
| #20267526 | 2 |
| #20267525 | 2 |
| #20267524 | 2 |
| #327×C103 | 2 |
| #1505 | 103 |