Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152249 | C2 | semidirect |
| 2. #19152002 | C2 | semidirect |
| 3. #19151913 | C2 | semidirect |
| 4. #19151911 | C2 | semidirect |
| 5. #19151877 | C2 | semidirect |
| 6. #19151835 | C2 | semidirect |
| 7. #19151834 | C2 | semidirect |
| 8. #19151680 | C2 | semidirect |
| 9. C8×C22⋊D89 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. C2×#107×C89 | C2 | semidirect |
| 81. C22⋊D89 | D8 | semidirect |
| 95. C8×C89 | #41 | semidirect |
| 124. C89 | #3334 | semidirect |
| 135. C2×#107 | D89 | semidirect |
| 221. C8 | #13083574 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152249 | 2 |
| #19152002 | 2 |
| #19151913 | 2 |
| #19151911 | 2 |
| #19151877 | 2 |
| #19151835 | 2 |
| #19151834 | 2 |
| #19151680 | 2 |
| C8×C22⋊D89 | 2 |
| #107×D89 | 2 |
| C2×#107×C89 | 2 |
| #3334 | 89 |