Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
490 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×#15668008 | C2 | semidirect |
| 2. #19152134 | C2 | semidirect |
| 3. #19151984 | C2 | semidirect |
| 4. #19151961 | C2 | semidirect |
| 5. #19151796 | C2 | semidirect |
| 6. #19151792 | C2 | semidirect |
| 7. #19151748 | C2 | semidirect |
| 8. #19151734 | C2 | semidirect |
| 9. #19151732 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #450×C89 | C2 | semidirect |
| 15. C2×#13083561 | C22 | semidirect |
| 16. C2×D712 | C22 | semidirect |
| 17. C2×#13083559 | C22 | semidirect |
| 23. #15668003 | C22 | semidirect |
| 24. #15668001 | C22 | semidirect |
| 27. Q8×Dic89 | C22 | semidirect |
| 28. #15667974 | C22 | semidirect |
| 32. #15667941 | C22 | semidirect |
| 33. #15667934 | C22 | semidirect |
| 34. #15667933 | C22 | semidirect |
| 35. #15667932 | C22 | semidirect |
| 37. #15667922 | C22 | semidirect |
| 39. C2×SD16×C89 | C22 | semidirect |
| 41. #102×C89 | C22 | semidirect |
| 156. C89 | #3217 | semidirect |
| 164. #450 | D89 | semidirect |
| 173. C2×SD16 | C2×D89 | semidirect |
| 195. #102 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668008 | 2 |
| #19152134 | 2 |
| #19151984 | 2 |
| #19151961 | 2 |
| #19151796 | 2 |
| #19151792 | 2 |
| #19151748 | 2 |
| #19151734 | 2 |
| #19151732 | 2 |
| #19151652 | 2 |
| #450×C89 | 2 |
| #3217 | 89 |