Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
160 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 160 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. #19151692 | C2 | semidirect |
| 4. #19151423 | C2 | semidirect |
| 5. #19151403 | C2 | semidirect |
| 6. #19151373 | C2 | semidirect |
| 11. #15667956 | C4 | semidirect |
| 23. Dic356 | C2×C4 | semidirect |
| 30. #13083549 | C2×C4 | semidirect |
| 68. C89 | #2175 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667956 | 2 |
| #19151692 | 2 |
| D8×Dic89 | 2 |
| #19151423 | 2 |
| #19151403 | 2 |
| #19151373 | 2 |
| #357×C89 | 2 |
| #2175 | 89 |