Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
384 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 384 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. #19152331 | C2 | semidirect |
| 2. #19151982 | C2 | semidirect |
| 3. #19151981 | C2 | semidirect |
| 5. #19151813 | C2 | semidirect |
| 6. #19151812 | C2 | semidirect |
| 7. #19151797 | C2 | semidirect |
| 8. C8×Dic178 | C2 | semidirect |
| 9. #19151692 | C2 | semidirect |
| 10. #19151680 | C2 | semidirect |
| 11. C4×D8×C89 | C2 | semidirect |
| 121. C89 | #3396 | semidirect |
| 132. C4×D8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152331 | 2 |
| #19151982 | 2 |
| #19151981 | 2 |
| #19151973 | 2 |
| #19151813 | 2 |
| #19151812 | 2 |
| #19151797 | 2 |
| C8×Dic178 | 2 |
| #19151692 | 2 |
| #19151680 | 2 |
| C4×D8×C89 | 2 |
| #3396 | 89 |