Finite Group DatabasebetaFinite Group DatabasebetaOrder 13184.
146 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 57 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. #20267909 | C2 | semidirect |
| 3. #20267621 | C2 | semidirect |
| 4. #20267599 | C2 | semidirect |
| 5. C4×C16×C103 | C2 | semidirect |
| 8. Dic824 | C4 | semidirect |
| 9. #15692966 | C4 | semidirect |
| 10. D1648 | C4 | semidirect |
| 50. C103 | #2178 | semidirect |
| 55. C4×C16 | D103 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20268223 | 2 |
| #20267909 | 2 |
| #20267621 | 2 |
| #20267599 | 2 |
| C4×C16×C103 | 2 |
| #2178 | 103 |