Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
448 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 448 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. #19152155 | C2 | semidirect |
| 2. #19151928 | C2 | semidirect |
| 3. #19151888 | C2 | semidirect |
| 4. #19151803 | C2 | semidirect |
| 6. C4×#13083562 | C2 | semidirect |
| 7. #19151651 | C2 | semidirect |
| 10. #15668012 | C22 | semidirect |
| 11. #15668012 | C22 | semidirect |
| 16. C4×Dic178 | C22 | semidirect |
| 18. #15667943 | C22 | semidirect |
| 19. C4⋊#10623494 | C22 | semidirect |
| 20. #15667935 | C22 | semidirect |
| 23. C4×#10623494 | C22 | semidirect |
| 78. C2×C4×C89 | SD16 | semidirect |
| 113. C89 | #3101 | semidirect |
| 195. C2×C4 | #13083562 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| #19151928 | 2 |
| #19151888 | 2 |
| #19151803 | 2 |
| #19151749 | 2 |
| C4×#13083562 | 2 |
| #19151651 | 2 |
| C2×C4×D4×C89 | 2 |
| #3101 | 89 |