Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
180 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 180 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 4. #19151350 | C2 | semidirect |
| 5. #19151349 | C2 | semidirect |
| 6. #19151348 | C2 | semidirect |
| 7. #335×C89 | C2 | semidirect |
| 27. #13083557 | C8 | semidirect |
| 56. C8×C89 | C2×C8 | semidirect |
| 60. #10623494 | C2×C8 | semidirect |
| 78. C89 | #1565 | semidirect |
| 83. #335 | D89 | semidirect |
| 138. C8 | C8×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151650 | 2 |
| C4⋊C8×D89 | 2 |
| C4×#13083557 | 2 |
| #19151350 | 2 |
| #19151349 | 2 |
| #19151348 | 2 |
| #335×C89 | 2 |
| #1565 | 89 |