Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
370 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152132 | C2 | semidirect |
| 2. #19152000 | C2 | semidirect |
| 3. #19151982 | C2 | semidirect |
| 4. #19151953 | C2 | semidirect |
| 5. #19151856 | C2 | semidirect |
| 7. #19151844 | C2 | semidirect |
| 8. #19151711 | C2 | semidirect |
| 9. #19151706 | C2 | semidirect |
| 10. #19151700 | C2 | semidirect |
| 11. C4×M16×C89 | C2 | semidirect |
| 110. C89 | #3183 | semidirect |
| 121. C4×M16 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152132 | 2 |
| #19152000 | 2 |
| #19151982 | 2 |
| #19151953 | 2 |
| #19151856 | 2 |
| #19151851 | 2 |
| #19151844 | 2 |
| #19151711 | 2 |
| #19151706 | 2 |
| #19151700 | 2 |
| C4×M16×C89 | 2 |
| #3183 | 89 |