Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
456 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 185 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×#15668018 | C2 | semidirect |
| 3. #19151721 | C2 | semidirect |
| 4. #19151716 | C2 | semidirect |
| 5. #19151647 | C2 | semidirect |
| 6. #19151616 | C2 | semidirect |
| 7. #405×C89 | C2 | semidirect |
| 9. #15668045 | C4 | semidirect |
| 10. #15668040 | C4 | semidirect |
| 14. #15668018 | C22 | semidirect |
| 15. #15668018 | C22 | semidirect |
| 19. #15667948 | C22 | semidirect |
| 20. #15667940 | C22 | semidirect |
| 24. #97×C89 | C22 | semidirect |
| 25. C4×C8×C89 | C22 | semidirect |
| 90. C89 | #2955 | semidirect |
| 97. #405 | D89 | semidirect |
| 114. #97 | C2×D89 | semidirect |
| 115. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152398 | 2 |
| C2×#15668018 | 2 |
| #19151721 | 2 |
| #19151716 | 2 |
| #19151647 | 2 |
| #19151616 | 2 |
| #405×C89 | 2 |
| #2955 | 89 |