Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
386 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 386 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×#15668010 | C2 | semidirect |
| 3. #19151991 | C2 | semidirect |
| 4. #19151965 | C2 | semidirect |
| 5. #19151806 | C2 | semidirect |
| 6. #19151802 | C2 | semidirect |
| 7. #19151753 | C2 | semidirect |
| 10. #19151652 | C2 | semidirect |
| 11. #451×C89 | C2 | semidirect |
| 138. C89 | #3218 | semidirect |
| 146. #451 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15668010 | 2 |
| #19152134 | 2 |
| #19151991 | 2 |
| #19151965 | 2 |
| #19151806 | 2 |
| #19151802 | 2 |
| #19151753 | 2 |
| #19151739 | 2 |
| #19151737 | 2 |
| #19151652 | 2 |
| #451×C89 | 2 |
| #3218 | 89 |