Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 125 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. #19152151 | C2 | semidirect |
| 3. #19151959 | C2 | semidirect |
| 4. #19151954 | C2 | semidirect |
| 5. #19151607 | C2 | semidirect |
| 8. M16×Dic89 | C2 | semidirect |
| 9. #419×C89 | C2 | semidirect |
| 12. #15668011 | C22 | semidirect |
| 13. #15668003 | C22 | semidirect |
| 22. #15667936 | C22 | semidirect |
| 25. #15667922 | C22 | semidirect |
| 26. C8×Dic89 | C22 | semidirect |
| 30. #103×C89 | C22 | semidirect |
| 105. C89 | #3140 | semidirect |
| 111. #419 | D89 | semidirect |
| 131. #103 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152151 | 2 |
| C2×#15668001 | 2 |
| #19151959 | 2 |
| #19151954 | 2 |
| #19151607 | 2 |
| #19151604 | 2 |
| #19151602 | 2 |
| M16×Dic89 | 2 |
| #419×C89 | 2 |
| #3140 | 89 |