Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
762 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 762 conjugacy classes of subgroups — too many to draw. Only its 145 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. C2×#15668057 | C2 | semidirect |
| 2. #19152398 | C2 | semidirect |
| 3. #19152165 | C2 | semidirect |
| 4. #19151778 | C2 | semidirect |
| 5. #19151768 | C2 | semidirect |
| 6. #19151614 | C2 | semidirect |
| 7. C2×#100×C89 | C2 | semidirect |
| 12. C2×#13083574 | C22 | semidirect |
| 17. #15668045 | C22 | semidirect |
| 19. #15668040 | C22 | semidirect |
| 21. #15668008 | C22 | semidirect |
| 22. #15667999 | C22 | semidirect |
| 25. #15667971 | C22 | semidirect |
| 26. #15667938 | C22 | semidirect |
| 28. C2×M16×C89 | C22 | semidirect |
| 29. #100×C89 | C22 | semidirect |
| 35. #13083574 | D4 | semidirect |
| 39. C2×Dic178 | D4 | semidirect |
| 40. C2×Dic178 | C23 | semidirect |
| 41. C2×D356 | D4 | semidirect |
| 42. C2×D356 | C23 | semidirect |
| 61. C4×Dic89 | C23 | semidirect |
| 69. M16×C89 | C23 | semidirect |
| 132. C89 | #3019 | semidirect |
| 139. C2×#100 | D89 | semidirect |
| 154. C2×M16 | C2×D89 | semidirect |
| 161. #100 | C2×D89 | semidirect |
| 197. M16 | C22×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668057 | 2 |
| #19152398 | 2 |
| #19152165 | 2 |
| #19151778 | 2 |
| #19151768 | 2 |
| #19151614 | 2 |
| C2×#100×C89 | 2 |
| #3019 | 89 |