Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
1088 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 1088 conjugacy classes of subgroups — too many to draw. Only its 181 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. C2×#15668001 | C2 | semidirect |
| 3. #19151515 | C2 | semidirect |
| 4. #19151499 | C2 | semidirect |
| 5. #19151453 | C2 | semidirect |
| 6. C4×C22⋊Dic89 | C2 | semidirect |
| 7. C2×C22⋊Q8×C89 | C2 | semidirect |
| 15. C2×#13083551 | C22 | semidirect |
| 16. C2×#13083551 | C22 | semidirect |
| 17. C2×C4×Dic89 | C22 | semidirect |
| 18. #15667919 | C22 | semidirect |
| 19. C22×Q8×C89 | C22 | semidirect |
| 22. C2×C4⋊C4×C89 | C22 | semidirect |
| 23. C2×C4⋊C4×C89 | C22 | semidirect |
| 85. C22×C89 | #124 | semidirect |
| 108. C89 | #2435 | semidirect |
| 111. C2×C22⋊Q8 | D89 | semidirect |
| 117. C22×Q8 | C2×D89 | semidirect |
| 125. C2×C4⋊C4 | C2×D89 | semidirect |
| 126. C2×C4⋊C4 | C2×D89 | semidirect |
| 199. C22 | #15668001 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×D356 | 2 |
| C2×#15668001 | 2 |
| #19151515 | 2 |
| #19151499 | 2 |
| #19151453 | 2 |
| C4×C22⋊Dic89 | 2 |
| C2×C22⋊Q8×C89 | 2 |
| #2435 | 89 |