Finite Group DatabasebetaFinite Group DatabasebetaOrder 11392.
448 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 448 conjugacy classes of subgroups — too many to draw. Only its 141 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. #19152155 | C2 | semidirect |
| 3. #19151929 | C2 | semidirect |
| 4. #19151889 | C2 | semidirect |
| 5. #19151804 | C2 | semidirect |
| 7. C4×#13083563 | C2 | semidirect |
| 8. #431×C89 | C2 | semidirect |
| 12. #15668012 | C22 | semidirect |
| 13. #15668012 | C22 | semidirect |
| 18. C4×Dic178 | C22 | semidirect |
| 26. #15667944 | C22 | semidirect |
| 27. #15667937 | C22 | semidirect |
| 30. C4⋊C8×C89 | C22 | semidirect |
| 32. C4×C8×C89 | C22 | semidirect |
| 71. C2×C4×C89 | SD16 | semidirect |
| 113. C89 | #3101 | semidirect |
| 121. #431 | D89 | semidirect |
| 141. C4⋊C8 | C2×D89 | semidirect |
| 145. C4×C8 | C2×D89 | semidirect |
| 195. C2×C4 | #13083563 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19152155 | 2 |
| C2×C4×D356 | 2 |
| #19151929 | 2 |
| #19151889 | 2 |
| #19151804 | 2 |
| #19151751 | 2 |
| C4×#13083563 | 2 |
| #431×C89 | 2 |
| #3101 | 89 |