Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
324 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 79 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. #20268557 | C2 | semidirect |
| 3. #20267807 | C2 | semidirect |
| 4. #20267797 | C2 | semidirect |
| 5. C2×#15692937 | C2 | semidirect |
| 6. #20267562 | C2 | semidirect |
| 7. #338×C103 | C2 | semidirect |
| 12. C2×#13110094 | C4 | semidirect |
| 13. C2×D824 | C4 | semidirect |
| 113. C103 | #1903 | semidirect |
| 120. #338 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15693049 | 2 |
| #20268557 | 2 |
| #20267807 | 2 |
| #20267797 | 2 |
| C2×#15692937 | 2 |
| #20267562 | 2 |
| #338×C103 | 2 |
| #1903 | 103 |