Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
564 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 157 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. C22×#13083562 | C2 | semidirect |
| 2. C22×C8×D89 | C2 | semidirect |
| 3. C2×#15667992 | C2 | semidirect |
| 5. #19151826 | C2 | direct (N × H) |
| 6. C2×#15667943 | C2 | semidirect |
| 7. C2×#15667937 | C2 | semidirect |
| 8. C2×#102×C89 | C2 | semidirect |
| 13. C2×#13083562 | C22 | semidirect |
| 16. C2×C8×D89 | C22 | semidirect |
| 18. #15667992 | C22 | semidirect |
| 25. #15667943 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 30. #102×C89 | C22 | semidirect |
| 46. C2×#10623494 | D4 | semidirect |
| 72. C22×D89 | SD16 | semidirect |
| 97. #10623494 | C2×D4 | semidirect |
| 109. C2×D89 | C2×SD16 | semidirect |
| 118. C2×C89 | #465 | semidirect |
| 124. C89 | C2×#465 | semidirect |
| 132. C2×#102 | D89 | semidirect |
| 154. #102 | C2×D89 | semidirect |
| 243. C2 | #19151826 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13083562 | 2 |
| C22×C8×D89 | 2 |
| C2×#15667992 | 2 |
| C2×#15667983 | 2 |
| #19151826 | 2 |
| C2×#15667943 | 2 |
| C2×#15667937 | 2 |
| C2×#102×C89 | 2 |
| C2×#465 | 89 |