Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
168 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 2. #19151880 | C2 | semidirect |
| 4. #19151725 | C2 | semidirect |
| 5. #19151350 | C2 | semidirect |
| 7. #332×C89 | C2 | semidirect |
| 62. #10623494 | SD16 | semidirect |
| 80. C89 | #1686 | semidirect |
| 86. #332 | D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19151972 | 2 |
| #19151880 | 2 |
| #19151799 | 2 |
| #19151725 | 2 |
| #19151350 | 2 |
| #19151341 | 2 |
| #332×C89 | 2 |
| #1686 | 89 |