Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
348 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 121 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. #19152304 | C2 | semidirect |
| 2. #19152005 | C2 | semidirect |
| 3. #19151901 | C2 | semidirect |
| 4. #19151895 | C2 | semidirect |
| 5. #19151877 | C2 | semidirect |
| 6. #19151728 | C2 | semidirect |
| 9. #499×C89 | C2 | semidirect |
| 41. D712 | Q8 | semidirect |
| 97. C89 | #3389 | semidirect |
| 100. #499 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152304 | 2 |
| #19152005 | 2 |
| #19151901 | 2 |
| #19151895 | 2 |
| #19151877 | 2 |
| #19151728 | 2 |
| #19151709 | 2 |
| C4×D712 | 2 |
| #499×C89 | 2 |
| #3389 | 89 |