Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 1. #19152155 | C2 | semidirect |
| 3. #19151963 | C2 | semidirect |
| 4. #19151945 | C2 | semidirect |
| 5. #19151604 | C2 | semidirect |
| 6. C4×M16×C89 | C2 | semidirect |
| 9. #15668012 | C22 | semidirect |
| 13. #15668004 | C22 | semidirect |
| 17. #15667934 | C22 | semidirect |
| 20. #97×C89 | C22 | semidirect |
| 21. C4×C8×C89 | C22 | semidirect |
| 75. C89 | #3138 | semidirect |
| 81. C4×M16 | D89 | semidirect |
| 95. #97 | C2×D89 | semidirect |
| 96. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| C2×#15668009 | 2 |
| #19151963 | 2 |
| #19151945 | 2 |
| #19151604 | 2 |
| C4×M16×C89 | 2 |
| #3138 | 89 |