Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 2. #19151972 | C2 | semidirect |
| 3. #19151946 | C2 | semidirect |
| 4. #19151798 | C2 | semidirect |
| 5. #19151748 | C2 | semidirect |
| 6. #19151651 | C2 | semidirect |
| 7. #533×C89 | C2 | semidirect |
| 11. C2×#13083561 | C22 | semidirect |
| 16. C4⋊#10623494 | C22 | semidirect |
| 17. #15667932 | C22 | semidirect |
| 19. C4×#10623494 | C22 | semidirect |
| 20. C4⋊Q8×C89 | C22 | semidirect |
| 21. C4⋊Q8×C89 | C22 | semidirect |
| 26. C4×Q8×C89 | C22 | semidirect |
| 69. C2×C4×C89 | SD16 | semidirect |
| 105. C89 | #3208 | semidirect |
| 106. #533 | D89 | semidirect |
| 117. C4⋊Q8 | C2×D89 | semidirect |
| 118. C4⋊Q8 | C2×D89 | semidirect |
| 127. C4×Q8 | C2×D89 | semidirect |
| 180. C2×C4 | #13083561 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668009 | 2 |
| #19151972 | 2 |
| #19151946 | 2 |
| #19151798 | 2 |
| #19151748 | 2 |
| #19151651 | 2 |
| #533×C89 | 2 |
| #3208 | 89 |