Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
340 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 340 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 |
|---|---|---|
| 2. #20268199 | C2 | semidirect |
| 3. #20268197 | C2 | semidirect |
| 4. #20268195 | C2 | semidirect |
| 5. #20268193 | C2 | semidirect |
| 6. #20268192 | C2 | semidirect |
| 11. #500×C103 | C2 | semidirect |
| 42. #13110088 | Q8 | semidirect |
| 45. C8×D103 | Q8 | semidirect |
| 108. C103 | #3164 | semidirect |
| 113. #500 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268418 | 2 |
| #20268199 | 2 |
| #20268197 | 2 |
| #20268195 | 2 |
| #20268193 | 2 |
| #20268192 | 2 |
| #20267832 | 2 |
| #20267828 | 2 |
| #107×D103 | 2 |
| #20267745 | 2 |
| #500×C103 | 2 |
| #3164 | 103 |