Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20268192 | C2 | semidirect |
| 3. #20268169 | C2 | semidirect |
| 4. #20268158 | C2 | semidirect |
| 7. #20267895 | C2 | semidirect |
| 8. Q16×Dic103 | C2 | semidirect |
| 9. #20267885 | C2 | semidirect |
| 112. C103 | #3177 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268401 | 2 |
| #20268192 | 2 |
| #20268169 | 2 |
| #20268158 | 2 |
| #20268047 | 2 |
| #20268032 | 2 |
| #20267895 | 2 |
| Q16×Dic103 | 2 |
| #20267885 | 2 |
| #20267746 | 2 |
| #467×C103 | 2 |
| #3177 | 103 |