Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
328 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 328 conjugacy classes of subgroups — too many to draw. Only its 109 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. #19152153 | C2 | semidirect |
| 3. #19152007 | C2 | semidirect |
| 4. #19152004 | C2 | semidirect |
| 5. #19151957 | C2 | semidirect |
| 6. #19151938 | C2 | semidirect |
| 8. #19151903 | C2 | semidirect |
| 9. #19151896 | C2 | semidirect |
| 10. #19151653 | C2 | semidirect |
| 11. #489×C89 | C2 | semidirect |
| 126. C89 | #3240 | semidirect |
| 132. #489 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152153 | 2 |
| #19152127 | 2 |
| #19152007 | 2 |
| #19152004 | 2 |
| #19151957 | 2 |
| #19151938 | 2 |
| #19151921 | 2 |
| #19151903 | 2 |
| #19151896 | 2 |
| #19151653 | 2 |
| #489×C89 | 2 |
| #3240 | 89 |