Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
438 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 438 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152149 | C2 | semidirect |
| 2. #19152146 | C2 | semidirect |
| 3. #19151974 | C2 | semidirect |
| 4. #19151971 | C2 | semidirect |
| 5. #19151950 | C2 | semidirect |
| 6. #19151812 | C2 | semidirect |
| 7. #19151744 | C2 | semidirect |
| 8. #19151649 | C2 | semidirect |
| 9. #486×C89 | C2 | semidirect |
| 121. C89 | #3207 | semidirect |
| 127. #486 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152149 | 2 |
| #19152146 | 2 |
| #19151974 | 2 |
| #19151971 | 2 |
| #19151950 | 2 |
| #19151812 | 2 |
| #19151744 | 2 |
| #19151649 | 2 |
| #486×C89 | 2 |
| #3207 | 89 |