Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
532 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 137 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×#15668044 | C2 | semidirect |
| 3. C2×Q16×D89 | C2 | semidirect |
| 4. #19152173 | C2 | semidirect |
| 5. #19151991 | C2 | semidirect |
| 6. #19151990 | C2 | semidirect |
| 7. #19151983 | C2 | semidirect |
| 8. #19151982 | C2 | semidirect |
| 9. #19151976 | C2 | semidirect |
| 10. #19151552 | C2 | semidirect |
| 11. #494×C89 | C2 | semidirect |
| 122. C89 | #3156 | semidirect |
| 132. #494 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668044 | 2 |
| C2×#15668035 | 2 |
| C2×Q16×D89 | 2 |
| #19152173 | 2 |
| #19151991 | 2 |
| #19151990 | 2 |
| #19151983 | 2 |
| #19151982 | 2 |
| #19151976 | 2 |
| #19151552 | 2 |
| #494×C89 | 2 |
| #3156 | 89 |