Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
400 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 117 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. #19152154 | C2 | semidirect |
| 3. #19151959 | C2 | semidirect |
| 4. #19151956 | C2 | semidirect |
| 5. #19151955 | C2 | semidirect |
| 6. #19151953 | C2 | semidirect |
| 7. #19151952 | C2 | semidirect |
| 8. #19151605 | C2 | semidirect |
| 10. C4×#13083557 | C2 | semidirect |
| 11. #488×C89 | C2 | semidirect |
| 15. #15668011 | C22 | semidirect |
| 16. #15668004 | C22 | semidirect |
| 26. #15667937 | C22 | semidirect |
| 27. #15667936 | C22 | semidirect |
| 28. #15667935 | C22 | semidirect |
| 32. #15667922 | C22 | semidirect |
| 33. C4×#10623494 | C22 | semidirect |
| 34. #125×C89 | C22 | semidirect |
| 36. #103×C89 | C22 | semidirect |
| 38. C4×C8×C89 | C22 | semidirect |
| 116. C89 | #3140 | semidirect |
| 124. #488 | D89 | semidirect |
| 133. #125 | C2×D89 | semidirect |
| 147. #103 | C2×D89 | semidirect |
| 154. C4×C8 | C2×D89 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152154 | 2 |
| #124×D89 | 2 |
| #19151959 | 2 |
| #19151956 | 2 |
| #19151955 | 2 |
| #19151953 | 2 |
| #19151952 | 2 |
| #19151605 | 2 |
| #19151601 | 2 |
| C4×#13083557 | 2 |
| #488×C89 | 2 |
| #3140 | 89 |