Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
578 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 89 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. #19152073 | C2 | semidirect |
| 3. #19151453 | C2 | semidirect |
| 4. #19151364 | C2 | semidirect |
| 5. C2×#99×C89 | C2 | semidirect |
| 9. #15667980 | C4 | semidirect |
| 25. C23×D89 | C2×C4 | semidirect |
| 30. C22×Dic89 | D4 | semidirect |
| 36. C22⋊Dic89 | C2×C4 | semidirect |
| 54. C23×C89 | C22⋊C4 | semidirect |
| 78. C2×C4×C89 | C22⋊C4 | semidirect |
| 120. C89 | #1889 | semidirect |
| 123. C2×#99 | D89 | semidirect |
| 186. C23 | #13083551 | semidirect |
| 204. C2×C4 | #13083551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15667980 | 2 |
| #19152073 | 2 |
| #19151453 | 2 |
| #19151364 | 2 |
| C2×#99×C89 | 2 |
| #1889 | 89 |