Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
520 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 129 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×#15668040 | C2 | semidirect |
| 2. #19152244 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151844 | C2 | semidirect |
| 5. #19151814 | C2 | semidirect |
| 6. #19151762 | C2 | semidirect |
| 7. #19151734 | C2 | semidirect |
| 8. C4×D712 | C2 | semidirect |
| 9. #436×C89 | C2 | semidirect |
| 11. C22×D356 | C22 | semidirect |
| 13. C2×Dic356 | C22 | semidirect |
| 14. C2×#13083563 | C22 | semidirect |
| 15. C2×#13083563 | C22 | semidirect |
| 19. #15668000 | C22 | semidirect |
| 21. #15667991 | C22 | semidirect |
| 25. C4×D356 | C22 | semidirect |
| 27. #15667946 | C22 | semidirect |
| 28. #15667937 | C22 | semidirect |
| 29. #15667934 | C22 | semidirect |
| 30. #15667934 | C22 | semidirect |
| 31. C2×M16×C89 | C22 | semidirect |
| 33. C4⋊C8×C89 | C22 | semidirect |
| 34. C22⋊C8×C89 | C22 | semidirect |
| 35. C4×C8×C89 | C22 | semidirect |
| 54. D712 | D4 | semidirect |
| 125. C89 | #3273 | semidirect |
| 134. #436 | D89 | semidirect |
| 144. C2×M16 | C2×D89 | semidirect |
| 155. C4⋊C8 | C2×D89 | semidirect |
| 159. C22⋊C8 | C2×D89 | semidirect |
| 160. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668040 | 2 |
| #19152244 | 2 |
| #19151982 | 2 |
| #19151844 | 2 |
| #19151814 | 2 |
| #19151762 | 2 |
| #19151734 | 2 |
| C4×D712 | 2 |
| #436×C89 | 2 |
| #3273 | 89 |