Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
198 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 198 conjugacy classes of subgroups — too many to draw. Only its 51 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. #20268167 | C2 | semidirect |
| 2. #20267987 | C2 | semidirect |
| 3. #20267983 | C2 | semidirect |
| 4. #20267868 | C2 | semidirect |
| 5. #20267541 | C2 | semidirect |
| 6. #20267534 | C2 | semidirect |
| 7. #331×C103 | C2 | semidirect |
| 69. C103⋊C8 | D8 | semidirect |
| 93. C103 | #1687 | semidirect |
| 100. #331 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268167 | 2 |
| #20267987 | 2 |
| #20267983 | 2 |
| #20267868 | 2 |
| #20267541 | 2 |
| #20267534 | 2 |
| #331×C103 | 2 |
| #1687 | 103 |