Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #20268527 | C2 | semidirect |
| 2. #20268502 | C2 | semidirect |
| 3. #20268144 | C2 | semidirect |
| 4. #20268093 | C2 | semidirect |
| 5. #20268083 | C2 | semidirect |
| 6. #20268005 | C2 | semidirect |
| 8. C8×Dic206 | C2 | semidirect |
| 9. C4×#13110094 | C2 | semidirect |
| 10. #20267871 | C2 | semidirect |
| 11. #486×C103 | C2 | semidirect |
| 123. C103 | #3361 | semidirect |
| 127. #486 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268527 | 2 |
| #20268502 | 2 |
| #20268144 | 2 |
| #20268093 | 2 |
| #20268083 | 2 |
| #20268005 | 2 |
| #20267983 | 2 |
| C8×Dic206 | 2 |
| C4×#13110094 | 2 |
| #20267871 | 2 |
| #486×C103 | 2 |
| #3361 | 103 |