Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
320 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 320 conjugacy classes of subgroups — too many to draw. Only its 83 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. #20267814 | C2 | semidirect |
| 3. C2×#15692949 | C2 | semidirect |
| 4. C2×#15692948 | C2 | semidirect |
| 5. C2×#15692947 | C2 | semidirect |
| 6. #20267637 | C2 | semidirect |
| 7. C2×#104×C103 | C2 | semidirect |
| 10. #15693019 | C4 | semidirect |
| 11. #15693017 | C4 | semidirect |
| 12. #15693010 | C4 | semidirect |
| 13. #15693008 | C4 | semidirect |
| 48. C4×Dic103 | D4 | semidirect |
| 63. C42×C103 | D4 | semidirect |
| 126. C103 | #1963 | semidirect |
| 132. C2×#104 | D103 | semidirect |
| 189. C42 | C22⋊D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268337 | 2 |
| #20267814 | 2 |
| C2×#15692949 | 2 |
| C2×#15692948 | 2 |
| C2×#15692947 | 2 |
| #20267637 | 2 |
| C2×#104×C103 | 2 |
| #1963 | 103 |