Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
370 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 370 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. #20268272 | C2 | semidirect |
| 3. C2×#15692947 | C2 | semidirect |
| 4. #20267797 | C2 | semidirect |
| 5. #20267692 | C2 | semidirect |
| 6. #20267552 | C2 | semidirect |
| 7. #343×C103 | C2 | semidirect |
| 11. #15693049 | C4 | semidirect |
| 39. C2×D412 | C2×C4 | semidirect |
| 62. M16×C103 | C2×C4 | semidirect |
| 95. D412 | C22⋊C4 | semidirect |
| 100. Dic206 | C22⋊C4 | semidirect |
| 133. C103 | #1883 | semidirect |
| 139. #343 | D103 | semidirect |
| 185. M16 | C4×D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693049 | 2 |
| #20268272 | 2 |
| C2×#15692947 | 2 |
| #20267797 | 2 |
| #20267692 | 2 |
| #20267552 | 2 |
| #343×C103 | 2 |
| #1883 | 103 |