Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
168 conjugacy classes of subgroups; only the 55 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 55 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. #19151884 | C2 | semidirect |
| 4. #19151728 | C2 | semidirect |
| 5. #19151343 | C2 | semidirect |
| 7. #335×C89 | C2 | semidirect |
| 61. C8×C89 | SD16 | semidirect |
| 80. C89 | #1686 | semidirect |
| 85. #335 | D89 | semidirect |
| 142. C8 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151971 | 2 |
| #19151884 | 2 |
| #19151799 | 2 |
| #19151728 | 2 |
| #19151343 | 2 |
| #19151341 | 2 |
| #335×C89 | 2 |
| #1686 | 89 |