Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
778 conjugacy classes of subgroups; only the 253 normal subgroups are shown.
This group has 778 conjugacy classes of subgroups — too many to draw. Only its 253 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×#15668019 | C2 | semidirect |
| 3. #19151602 | C2 | semidirect |
| 4. #19151597 | C2 | semidirect |
| 5. #19151592 | C2 | semidirect |
| 6. C2×#15667932 | C2 | semidirect |
| 7. #520×C89 | C2 | semidirect |
| 9. #15668058 | C4 | semidirect |
| 15. C2×#13083558 | C22 | semidirect |
| 16. C22×#10623494 | C22 | semidirect |
| 17. #15667935 | C22 | semidirect |
| 18. #15667935 | C22 | semidirect |
| 19. #15667932 | C22 | semidirect |
| 20. #15667932 | C22 | semidirect |
| 21. #15667932 | C22 | semidirect |
| 25. #117×C89 | C22 | semidirect |
| 26. C2×C4⋊C4×C89 | C22 | semidirect |
| 30. #13083574 | C2×C4 | semidirect |
| 34. C2×D356 | C2×C4 | semidirect |
| 98. C89 | #2897 | semidirect |
| 101. #520 | D89 | semidirect |
| 118. #117 | C2×D89 | semidirect |
| 119. C2×C4⋊C4 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668058 | 2 |
| C2×#15668019 | 2 |
| #19151602 | 2 |
| #19151597 | 2 |
| #19151592 | 2 |
| C2×#15667932 | 2 |
| #520×C89 | 2 |
| #2897 | 89 |