Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
466 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 466 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #19152224 | C2 | semidirect |
| 4. #19151364 | C2 | semidirect |
| 5. #342×C89 | C2 | semidirect |
| 20. C23×D89 | Q8 | semidirect |
| 94. C89 | #2029 | semidirect |
| 99. #342 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152224 | 2 |
| #19151453 | 2 |
| #19151364 | 2 |
| #342×C89 | 2 |
| #2029 | 89 |