Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
162 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 61 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. #19151729 | C2 | semidirect |
| 4. #19151350 | C2 | semidirect |
| 6. #19151320 | C2 | semidirect |
| 7. Q8⋊C8×C89 | C2 | semidirect |
| 60. #10623494 | M16 | semidirect |
| 78. C89 | #1592 | semidirect |
| 83. Q8⋊C8 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151729 | 2 |
| C4×#13083561 | 2 |
| #19151675 | 2 |
| #19151350 | 2 |
| #19151327 | 2 |
| #19151320 | 2 |
| Q8⋊C8×C89 | 2 |
| #1592 | 89 |