Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
492 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 492 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. #19152143 | C2 | semidirect |
| 2. C2×#15667974 | C2 | semidirect |
| 3. #19151911 | C2 | semidirect |
| 4. #19151877 | C2 | semidirect |
| 5. #19151792 | C2 | semidirect |
| 6. #19151734 | C2 | semidirect |
| 7. #19151731 | C2 | semidirect |
| 8. #19151680 | C2 | semidirect |
| 9. #19151678 | C2 | semidirect |
| 10. #19151648 | C2 | semidirect |
| 11. #480×C89 | C2 | semidirect |
| 17. #15668011 | C22 | semidirect |
| 18. #15668008 | C22 | semidirect |
| 22. D4×Dic89 | C22 | semidirect |
| 27. #15667974 | C22 | semidirect |
| 31. #15667945 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. C8×Dic89 | C22 | semidirect |
| 40. #107×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 104. C2×Dic89 | D8 | semidirect |
| 112. D356 | #41 | semidirect |
| 150. C89 | #3100 | semidirect |
| 154. #480 | D89 | semidirect |
| 184. #107 | C2×D89 | semidirect |
| 189. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152143 | 2 |
| C2×#15667974 | 2 |
| #19151911 | 2 |
| #19151877 | 2 |
| #19151792 | 2 |
| #19151734 | 2 |
| #19151731 | 2 |
| #19151680 | 2 |
| #19151678 | 2 |
| #19151648 | 2 |
| #480×C89 | 2 |
| #3100 | 89 |