Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
260 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 9. #15693020 | C4 | semidirect |
| 10. #15693020 | C4 | semidirect |
| 11. #15693012 | C4 | semidirect |
| 12. #15693012 | C4 | semidirect |
| 33. #13110089 | Q8 | semidirect |
| 55. M16×C103 | Q8 | semidirect |
| 115. C103 | #1986 | semidirect |
| 152. M16 | Dic206 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268344 | 2 |
| M16×Dic103 | 2 |
| C4×Dic103⋊C4 | 2 |
| #20267552 | 2 |
| #20267551 | 2 |
| #20267550 | 2 |
| #339×C103 | 2 |
| #1986 | 103 |