Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
420 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 123 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. #19152253 | C2 | semidirect |
| 2. #19152251 | C2 | semidirect |
| 3. #19152001 | C2 | semidirect |
| 4. #19151913 | C2 | semidirect |
| 5. #19151910 | C2 | semidirect |
| 6. #19151879 | C2 | semidirect |
| 7. #19151833 | C2 | semidirect |
| 8. C4×#13083559 | C2 | semidirect |
| 9. #19151663 | C2 | semidirect |
| 10. #107×D89 | C2 | semidirect |
| 11. #474×C89 | C2 | semidirect |
| 94. D356 | D8 | semidirect |
| 103. #10623494 | #41 | semidirect |
| 130. C89 | #3334 | semidirect |
| 137. #474 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152253 | 2 |
| #19152251 | 2 |
| #19152001 | 2 |
| #19151913 | 2 |
| #19151910 | 2 |
| #19151879 | 2 |
| #19151833 | 2 |
| C4×#13083559 | 2 |
| #19151663 | 2 |
| #107×D89 | 2 |
| #474×C89 | 2 |
| #3334 | 89 |